-
Orientations of Graphs | Directed Graphs, Digraph Theory
What is an orientation of a graph? We'll be going over the definition of this directed graph concept and some examples in today's lesson!
Support Wrath of Math on PayPal: paypal.me/wrathofmath
Given an undirected graph G, an orientation of G is a directed graph obtained by assigning a direction to each edge of G. Typically we consider orientations only of simple undirected graphs, thus an orientation of a graph will have no symmetric edges, since only one direction gets assigned to a single edge - and a simple graph will not have multiple edges joining the same vertices. This means that if x is adjacent TO y in an orientation of a graph, x will NOT be adjacent FROM y.
If we removed the edge directions from an orientation of a graph, then we get the original undirected graph - called th...
published: 17 Jun 2020
-
Oriented Graph ! Graph theory |Learn how to draw graph |CTN graph theory
Become MASTER in Graph Theory Now!
check out➡️https://youtube.com/playlist?list=PL8qPwn2TogV4t7AzKAYPLx7s3uCTbWmCb
.
Please Note - You can give any directions as per your choice in these types of questions . But in other types of questions if directions are given then strictly you have to follow the directions .
Here in this case Taking about this video ,We are concerned about how to draw the graph part !
Check the playlist mentioned below ,to understand some more cool concepts 😍😉
In this video we are going to learn about how to draw the graph of a given circuit diagram! I hope you understand this video do let me know in the comments section how was the explanation part. Thank you so much for watching stay tuned for more such videos. Please comment
https://youtu.be/j-FOYb278a4 (watch ...
published: 18 May 2019
-
L37: GRAPH THEORY Introduction | Difference between Un-Oriented & Oriented Graph, Types of Graphs
Full Course of Discrete Mathematics: https://youtube.com/playlist?list=PLV8vIYTIdSnZjLhFRkVBsjQr5NxIiq1b3
In this video you can learn about GRAPH THEORY Introduction with Difference between Un-Oriented & Oriented Graph, Types of Graphs in Foundation of Computer Science Course. Following topics of Discrete Mathematics Course are discusses in this lecture: GRAPH THEORY Introduction with Difference between Un-Oriented & Oriented Graph, Types of Graphs: Simple Graph, Multigraph, Pseudographs, NULL Graphs with examples. This topic is very important for College University Semester Exams and Other Competitive exams like GATE, NTA NET, NIELIT, DSSSB tgt/ pgt computer science, KVS CSE, PSUs etc
GRAPH THEORY Introduction – Difference between Un-Oriented and Oriented Graph, Types of Graphs(Simple, ...
published: 02 May 2018
-
Lecture # 1 Introduction to Graph Theory (Network Topology)
In this video, Introduction of Graph theory is presented and its terminologies are discussed.
published: 31 Mar 2019
-
Intro to Tournament Graphs | Graph Theory
We introduce directed tournament graphs, which can be thought of as a graph representing the outcome of a round robin tournament - where vertices represent teams, and directed edges (arcs) go from winners to losers. We'll also discuss how many labelled tournaments there are on n vertices, and how many unlabelled tournaments there are. #GraphTheory
We see several explanations and examples of tournament graphs, and some non-examples. A tournament is a directed graph with exactly one arc between each pair of vertices. Or equivalently, it is an orientation of a complete graph.
Orientations of Graphs: https://www.youtube.com/watch?v=F7H1clscmJQ
Number of edges in a complete graph: https://www.youtube.com/watch?v=x1J08x9OeZ8
Transitive Tournaments: https://youtu.be/HsJ_qiSJH7Q
Tournament is ...
published: 12 Jul 2021
-
Graph Theory Introduction
An introduction to the field of Graph Theory, the study of networks
Algorithms repository:
https://github.com/williamfiset/algorithms#graph-theory
Slides:
https://github.com/williamfiset/Algorithms/tree/master/slides/graphtheory
Graph Theory Videos:
https://www.youtube.com/playlist?list=PLDV1Zeh2NRsDGO4--qE8yH72HFL1Km93P
0:00 Introduction
0:58 Graph theory as the study of networks
2:23 Common types of graphs
2:43 Undirected graphs
3:14 Directed graphs
4:08 Weighted graphs
4:49 Special graphs
5:07 Trees as a type of graph
5:35 Rooted trees
6:14 Directed acyclic graphs
7:20 Bipartite graphs
8:25 Complete graphs
9:03 Graphs on a computer
9:30 Adjacency matrix
11:22 Adjacency list
12:53 Edge list
===============================
Practicing for interviews? I have used, and recommend `Crack...
published: 30 Mar 2018
-
Graph Theory Overview
Take the full course: https://bit.ly/SiCourse
Download booklet: https://bit.ly/SiBooklets
Twitter: http://bit.ly/2JuNmXX
LinkedIn: http://bit.ly/2YCP2U6
In this lecture, we start to lay down some of our basic language for talking about networks that comes to us from graph theory a relatively new area of mathematics that studies the properties of graphs.
Transcription:
When we hear the word network all sorts of things spring to mind like social networks and the Internet in particular, but the power of network theory is really in its high degree of abstraction, so the first thing for us to do is to try and start back at the beginning by forgetting what we think we know about networks and embrace the abstract language of networks what is called graph theory. In the formal language of mat...
published: 18 Apr 2015
-
NETWORK, NETWORK TOPOLOGY, GRAPH, ORIENTED GRAPH, TREE, CO-TREE
published: 08 Oct 2020
-
Oriented Graph of a Power System
This video clearly explains how to draw the oriented graph when the diagram of a power system is given. Once we obtain the oriented graph, we can get the tree, co-tree etc and perform suitable operations.
published: 05 Jun 2015
-
Graph Theory 1.0
This Video explains network, topology, branch, node, planar graph,nonplanar graph,graph,oriented graph,incidence matrix, Reduced incidence matrix.
published: 31 Mar 2022
5:49
Orientations of Graphs | Directed Graphs, Digraph Theory
What is an orientation of a graph? We'll be going over the definition of this directed graph concept and some examples in today's lesson!
Support Wrath of Math...
What is an orientation of a graph? We'll be going over the definition of this directed graph concept and some examples in today's lesson!
Support Wrath of Math on PayPal: paypal.me/wrathofmath
Given an undirected graph G, an orientation of G is a directed graph obtained by assigning a direction to each edge of G. Typically we consider orientations only of simple undirected graphs, thus an orientation of a graph will have no symmetric edges, since only one direction gets assigned to a single edge - and a simple graph will not have multiple edges joining the same vertices. This means that if x is adjacent TO y in an orientation of a graph, x will NOT be adjacent FROM y.
If we removed the edge directions from an orientation of a graph, then we get the original undirected graph - called the "underlying graph".
Lesson on underlying graphs: https://www.youtube.com/watch?v=Gf3e4TaUmyo
Intro to Directed Graphs: https://www.youtube.com/watch?v=mXoiHgH4mEE
I hope you find this video helpful, and be sure to ask any questions down in the comments!
********************************************************************
The outro music is by a favorite musician of mine named Vallow, who, upon my request, kindly gave me permission to use his music in my outros. I usually put my own music in the outros, but I love Vallow's music, and wanted to share it with those of you watching. Please check out all of his wonderful work.
Vallow Bandcamp: https://vallow.bandcamp.com/
Vallow Spotify: https://open.spotify.com/artist/0fRtulS8R2Sr0nkRLJJ6eW
Vallow SoundCloud: https://soundcloud.com/benwatts-3
********************************************************************
+WRATH OF MATH+
◆ Support Wrath of Math on Patreon: https://www.patreon.com/wrathofmathlessons
Follow Wrath of Math on...
● Instagram: https://www.instagram.com/wrathofmathedu
● Facebook: https://www.facebook.com/WrathofMath
● Twitter: https://twitter.com/wrathofmathedu
My Music Channel: http://www.youtube.com/seanemusic
https://wn.com/Orientations_Of_Graphs_|_Directed_Graphs,_Digraph_Theory
What is an orientation of a graph? We'll be going over the definition of this directed graph concept and some examples in today's lesson!
Support Wrath of Math on PayPal: paypal.me/wrathofmath
Given an undirected graph G, an orientation of G is a directed graph obtained by assigning a direction to each edge of G. Typically we consider orientations only of simple undirected graphs, thus an orientation of a graph will have no symmetric edges, since only one direction gets assigned to a single edge - and a simple graph will not have multiple edges joining the same vertices. This means that if x is adjacent TO y in an orientation of a graph, x will NOT be adjacent FROM y.
If we removed the edge directions from an orientation of a graph, then we get the original undirected graph - called the "underlying graph".
Lesson on underlying graphs: https://www.youtube.com/watch?v=Gf3e4TaUmyo
Intro to Directed Graphs: https://www.youtube.com/watch?v=mXoiHgH4mEE
I hope you find this video helpful, and be sure to ask any questions down in the comments!
********************************************************************
The outro music is by a favorite musician of mine named Vallow, who, upon my request, kindly gave me permission to use his music in my outros. I usually put my own music in the outros, but I love Vallow's music, and wanted to share it with those of you watching. Please check out all of his wonderful work.
Vallow Bandcamp: https://vallow.bandcamp.com/
Vallow Spotify: https://open.spotify.com/artist/0fRtulS8R2Sr0nkRLJJ6eW
Vallow SoundCloud: https://soundcloud.com/benwatts-3
********************************************************************
+WRATH OF MATH+
◆ Support Wrath of Math on Patreon: https://www.patreon.com/wrathofmathlessons
Follow Wrath of Math on...
● Instagram: https://www.instagram.com/wrathofmathedu
● Facebook: https://www.facebook.com/WrathofMath
● Twitter: https://twitter.com/wrathofmathedu
My Music Channel: http://www.youtube.com/seanemusic
- published: 17 Jun 2020
- views: 8720
4:30
Oriented Graph ! Graph theory |Learn how to draw graph |CTN graph theory
Become MASTER in Graph Theory Now!
check out➡️https://youtube.com/playlist?list=PL8qPwn2TogV4t7AzKAYPLx7s3uCTbWmCb
.
Please Note - You can give any directions...
Become MASTER in Graph Theory Now!
check out➡️https://youtube.com/playlist?list=PL8qPwn2TogV4t7AzKAYPLx7s3uCTbWmCb
.
Please Note - You can give any directions as per your choice in these types of questions . But in other types of questions if directions are given then strictly you have to follow the directions .
Here in this case Taking about this video ,We are concerned about how to draw the graph part !
Check the playlist mentioned below ,to understand some more cool concepts 😍😉
In this video we are going to learn about how to draw the graph of a given circuit diagram! I hope you understand this video do let me know in the comments section how was the explanation part. Thank you so much for watching stay tuned for more such videos. Please comment
https://youtu.be/j-FOYb278a4 (watch this)
.
If you understood the concept .
Please 👍 like this video
SHARE It with Your FRIENDS .. 👫👬
Do check out the entire playlist (hardly 5-6 videos )➡️https://youtube.com/playlist?list=PL8qPwn2TogV4t7AzKAYPLx7s3uCTbWmCb
I assure you will become master in GRAPH Theory .
Thanks . Take care 🤗
https://wn.com/Oriented_Graph_Graph_Theory_|Learn_How_To_Draw_Graph_|Ctn_Graph_Theory
Become MASTER in Graph Theory Now!
check out➡️https://youtube.com/playlist?list=PL8qPwn2TogV4t7AzKAYPLx7s3uCTbWmCb
.
Please Note - You can give any directions as per your choice in these types of questions . But in other types of questions if directions are given then strictly you have to follow the directions .
Here in this case Taking about this video ,We are concerned about how to draw the graph part !
Check the playlist mentioned below ,to understand some more cool concepts 😍😉
In this video we are going to learn about how to draw the graph of a given circuit diagram! I hope you understand this video do let me know in the comments section how was the explanation part. Thank you so much for watching stay tuned for more such videos. Please comment
https://youtu.be/j-FOYb278a4 (watch this)
.
If you understood the concept .
Please 👍 like this video
SHARE It with Your FRIENDS .. 👫👬
Do check out the entire playlist (hardly 5-6 videos )➡️https://youtube.com/playlist?list=PL8qPwn2TogV4t7AzKAYPLx7s3uCTbWmCb
I assure you will become master in GRAPH Theory .
Thanks . Take care 🤗
- published: 18 May 2019
- views: 11729
15:58
L37: GRAPH THEORY Introduction | Difference between Un-Oriented & Oriented Graph, Types of Graphs
Full Course of Discrete Mathematics: https://youtube.com/playlist?list=PLV8vIYTIdSnZjLhFRkVBsjQr5NxIiq1b3
In this video you can learn about GRAPH THEORY Introd...
Full Course of Discrete Mathematics: https://youtube.com/playlist?list=PLV8vIYTIdSnZjLhFRkVBsjQr5NxIiq1b3
In this video you can learn about GRAPH THEORY Introduction with Difference between Un-Oriented & Oriented Graph, Types of Graphs in Foundation of Computer Science Course. Following topics of Discrete Mathematics Course are discusses in this lecture: GRAPH THEORY Introduction with Difference between Un-Oriented & Oriented Graph, Types of Graphs: Simple Graph, Multigraph, Pseudographs, NULL Graphs with examples. This topic is very important for College University Semester Exams and Other Competitive exams like GATE, NTA NET, NIELIT, DSSSB tgt/ pgt computer science, KVS CSE, PSUs etc
GRAPH THEORY Introduction – Difference between Un-Oriented and Oriented Graph, Types of Graphs(Simple, Multi, Pseudo, NULL, Complete and Regular Graph) with Examples
Discrete Mathematics - Graph Theory Video Lectures for B.Tech, M.Tech, MCA Students
👉 Follow us on Social media:
Facebook: http://tiny.cc/ibdrsz
▶️ Links for Hindi playlists of all subjects are:
Data Structure: http://tiny.cc/lkppsz
DBMS : http://tiny.cc/zkppsz
Java: http://tiny.cc/1lppsz
Control System: http://tiny.cc/3qppsz
Computer Network Security: http://tiny.cc/6qppsz
Web Engineering: http://tiny.cc/7qppsz
Operating System: http://tiny.cc/dqppsz
EDC: http://tiny.cc/cqppsz
TOC: http://tiny.cc/qqppsz
Software Engineering: http://tiny.cc/5rppsz
DCN: http://tiny.cc/8rppsz
Data Warehouse and Data Mining: http://tiny.cc/yrppsz
Compiler Design: http://tiny.cc/1sppsz
Information Theory and Coding: http://tiny.cc/2sppsz
Computer Organization and Architecture(COA): http://tiny.cc/4sppsz
Discrete Mathematics (Graph Theory): http://tiny.cc/5sppsz
Discrete Mathematics Lectures: http://tiny.cc/gsppsz
C Programming: http://tiny.cc/esppsz
C++ Programming: http://tiny.cc/9sppsz
Algorithm Design and Analysis(ADA): http://tiny.cc/fsppsz
E-Commerce and M-Commerce(ECMC): http://tiny.cc/jsppsz
Adhoc Sensor Network(ASN): http://tiny.cc/nsppsz
Cloud Computing: http://tiny.cc/osppsz
STLD (Digital Electronics): http://tiny.cc/ysppsz
Artificial Intelligence: http://tiny.cc/usppsz
Links for #GATE/#UGCNET/ PGT/ TGT CS Previous Year Solved Questions:
UGC NET : http://tiny.cc/brppsz
DBMS GATE PYQ : http://tiny.cc/drppsz
TOC GATE PYQ: http://tiny.cc/frppsz
ADA GATE PYQ: http://tiny.cc/grppsz
OS GATE PYQ: http://tiny.cc/irppsz
DS GATE PYQ: http://tiny.cc/jrppsz
Network GATE PYQ: http://tiny.cc/mrppsz
CD GATE PYQ: http://tiny.cc/orppsz
Digital Logic GATE PYQ: http://tiny.cc/rrppsz
C/C++ GATE PYQ: http://tiny.cc/srppsz
COA GATE PYQ: http://tiny.cc/xrppsz
DBMS for GATE UGC NET : http://tiny.cc/0tppsz
https://wn.com/L37_Graph_Theory_Introduction_|_Difference_Between_Un_Oriented_Oriented_Graph,_Types_Of_Graphs
Full Course of Discrete Mathematics: https://youtube.com/playlist?list=PLV8vIYTIdSnZjLhFRkVBsjQr5NxIiq1b3
In this video you can learn about GRAPH THEORY Introduction with Difference between Un-Oriented & Oriented Graph, Types of Graphs in Foundation of Computer Science Course. Following topics of Discrete Mathematics Course are discusses in this lecture: GRAPH THEORY Introduction with Difference between Un-Oriented & Oriented Graph, Types of Graphs: Simple Graph, Multigraph, Pseudographs, NULL Graphs with examples. This topic is very important for College University Semester Exams and Other Competitive exams like GATE, NTA NET, NIELIT, DSSSB tgt/ pgt computer science, KVS CSE, PSUs etc
GRAPH THEORY Introduction – Difference between Un-Oriented and Oriented Graph, Types of Graphs(Simple, Multi, Pseudo, NULL, Complete and Regular Graph) with Examples
Discrete Mathematics - Graph Theory Video Lectures for B.Tech, M.Tech, MCA Students
👉 Follow us on Social media:
Facebook: http://tiny.cc/ibdrsz
▶️ Links for Hindi playlists of all subjects are:
Data Structure: http://tiny.cc/lkppsz
DBMS : http://tiny.cc/zkppsz
Java: http://tiny.cc/1lppsz
Control System: http://tiny.cc/3qppsz
Computer Network Security: http://tiny.cc/6qppsz
Web Engineering: http://tiny.cc/7qppsz
Operating System: http://tiny.cc/dqppsz
EDC: http://tiny.cc/cqppsz
TOC: http://tiny.cc/qqppsz
Software Engineering: http://tiny.cc/5rppsz
DCN: http://tiny.cc/8rppsz
Data Warehouse and Data Mining: http://tiny.cc/yrppsz
Compiler Design: http://tiny.cc/1sppsz
Information Theory and Coding: http://tiny.cc/2sppsz
Computer Organization and Architecture(COA): http://tiny.cc/4sppsz
Discrete Mathematics (Graph Theory): http://tiny.cc/5sppsz
Discrete Mathematics Lectures: http://tiny.cc/gsppsz
C Programming: http://tiny.cc/esppsz
C++ Programming: http://tiny.cc/9sppsz
Algorithm Design and Analysis(ADA): http://tiny.cc/fsppsz
E-Commerce and M-Commerce(ECMC): http://tiny.cc/jsppsz
Adhoc Sensor Network(ASN): http://tiny.cc/nsppsz
Cloud Computing: http://tiny.cc/osppsz
STLD (Digital Electronics): http://tiny.cc/ysppsz
Artificial Intelligence: http://tiny.cc/usppsz
Links for #GATE/#UGCNET/ PGT/ TGT CS Previous Year Solved Questions:
UGC NET : http://tiny.cc/brppsz
DBMS GATE PYQ : http://tiny.cc/drppsz
TOC GATE PYQ: http://tiny.cc/frppsz
ADA GATE PYQ: http://tiny.cc/grppsz
OS GATE PYQ: http://tiny.cc/irppsz
DS GATE PYQ: http://tiny.cc/jrppsz
Network GATE PYQ: http://tiny.cc/mrppsz
CD GATE PYQ: http://tiny.cc/orppsz
Digital Logic GATE PYQ: http://tiny.cc/rrppsz
C/C++ GATE PYQ: http://tiny.cc/srppsz
COA GATE PYQ: http://tiny.cc/xrppsz
DBMS for GATE UGC NET : http://tiny.cc/0tppsz
- published: 02 May 2018
- views: 156788
16:08
Lecture # 1 Introduction to Graph Theory (Network Topology)
In this video, Introduction of Graph theory is presented and its terminologies are discussed.
In this video, Introduction of Graph theory is presented and its terminologies are discussed.
https://wn.com/Lecture_1_Introduction_To_Graph_Theory_(Network_Topology)
In this video, Introduction of Graph theory is presented and its terminologies are discussed.
- published: 31 Mar 2019
- views: 154268
9:53
Intro to Tournament Graphs | Graph Theory
We introduce directed tournament graphs, which can be thought of as a graph representing the outcome of a round robin tournament - where vertices represent team...
We introduce directed tournament graphs, which can be thought of as a graph representing the outcome of a round robin tournament - where vertices represent teams, and directed edges (arcs) go from winners to losers. We'll also discuss how many labelled tournaments there are on n vertices, and how many unlabelled tournaments there are. #GraphTheory
We see several explanations and examples of tournament graphs, and some non-examples. A tournament is a directed graph with exactly one arc between each pair of vertices. Or equivalently, it is an orientation of a complete graph.
Orientations of Graphs: https://www.youtube.com/watch?v=F7H1clscmJQ
Number of edges in a complete graph: https://www.youtube.com/watch?v=x1J08x9OeZ8
Transitive Tournaments: https://youtu.be/HsJ_qiSJH7Q
Tournament is Transitive iff No Cycles: https://youtu.be/qxyQoR-lHTU
Every Tournament has Hamiltonian Path: https://youtu.be/3J9XmZx_kfM
Graph Theory playlist: https://www.youtube.com/playlist?list=PLztBpqftvzxXBhbYxoaZJmnZF6AUQr1mH
★DONATE★
◆ Support Wrath of Math on Patreon for early access to new videos and other exclusive benefits: https://www.patreon.com/join/wrathofmathlessons
◆ Donate on PayPal: https://www.paypal.me/wrathofmath
Thanks to Robert Rennie, Barbara Sharrock, and Rolf Waefler for their generous support on Patreon!
Thanks to Crayon Angel, my favorite musician in the world, who upon my request gave me permission to use his music in my math lessons: https://crayonangel.bandcamp.com/
Follow Wrath of Math on...
● Instagram: https://www.instagram.com/wrathofmathedu
● Facebook: https://www.facebook.com/WrathofMath
● Twitter: https://twitter.com/wrathofmathedu
My Music Channel: https://www.youtube.com/channel/UCOvWZ_dg_ztMt3C7Qx3NKOQ
https://wn.com/Intro_To_Tournament_Graphs_|_Graph_Theory
We introduce directed tournament graphs, which can be thought of as a graph representing the outcome of a round robin tournament - where vertices represent teams, and directed edges (arcs) go from winners to losers. We'll also discuss how many labelled tournaments there are on n vertices, and how many unlabelled tournaments there are. #GraphTheory
We see several explanations and examples of tournament graphs, and some non-examples. A tournament is a directed graph with exactly one arc between each pair of vertices. Or equivalently, it is an orientation of a complete graph.
Orientations of Graphs: https://www.youtube.com/watch?v=F7H1clscmJQ
Number of edges in a complete graph: https://www.youtube.com/watch?v=x1J08x9OeZ8
Transitive Tournaments: https://youtu.be/HsJ_qiSJH7Q
Tournament is Transitive iff No Cycles: https://youtu.be/qxyQoR-lHTU
Every Tournament has Hamiltonian Path: https://youtu.be/3J9XmZx_kfM
Graph Theory playlist: https://www.youtube.com/playlist?list=PLztBpqftvzxXBhbYxoaZJmnZF6AUQr1mH
★DONATE★
◆ Support Wrath of Math on Patreon for early access to new videos and other exclusive benefits: https://www.patreon.com/join/wrathofmathlessons
◆ Donate on PayPal: https://www.paypal.me/wrathofmath
Thanks to Robert Rennie, Barbara Sharrock, and Rolf Waefler for their generous support on Patreon!
Thanks to Crayon Angel, my favorite musician in the world, who upon my request gave me permission to use his music in my math lessons: https://crayonangel.bandcamp.com/
Follow Wrath of Math on...
● Instagram: https://www.instagram.com/wrathofmathedu
● Facebook: https://www.facebook.com/WrathofMath
● Twitter: https://twitter.com/wrathofmathedu
My Music Channel: https://www.youtube.com/channel/UCOvWZ_dg_ztMt3C7Qx3NKOQ
- published: 12 Jul 2021
- views: 11487
14:08
Graph Theory Introduction
An introduction to the field of Graph Theory, the study of networks
Algorithms repository:
https://github.com/williamfiset/algorithms#graph-theory
Slides:
htt...
An introduction to the field of Graph Theory, the study of networks
Algorithms repository:
https://github.com/williamfiset/algorithms#graph-theory
Slides:
https://github.com/williamfiset/Algorithms/tree/master/slides/graphtheory
Graph Theory Videos:
https://www.youtube.com/playlist?list=PLDV1Zeh2NRsDGO4--qE8yH72HFL1Km93P
0:00 Introduction
0:58 Graph theory as the study of networks
2:23 Common types of graphs
2:43 Undirected graphs
3:14 Directed graphs
4:08 Weighted graphs
4:49 Special graphs
5:07 Trees as a type of graph
5:35 Rooted trees
6:14 Directed acyclic graphs
7:20 Bipartite graphs
8:25 Complete graphs
9:03 Graphs on a computer
9:30 Adjacency matrix
11:22 Adjacency list
12:53 Edge list
===============================
Practicing for interviews? I have used, and recommend `Cracking the Coding Interview` which got me a job at Google. Link on Amazon: https://amzn.to/3cvMof5
A lot of the content on this channel is inspired by the book `Competitive Programming` by Steven Halim which I frequently use as a resource and reference. Link on Amazon: https://amzn.to/3wC2nix
Support me by purchasing the full graph theory course on Udemy which includes additional problems, exercises and quizzes not available on YouTube:
https://www.udemy.com/course/graph-theory-algorithms
https://wn.com/Graph_Theory_Introduction
An introduction to the field of Graph Theory, the study of networks
Algorithms repository:
https://github.com/williamfiset/algorithms#graph-theory
Slides:
https://github.com/williamfiset/Algorithms/tree/master/slides/graphtheory
Graph Theory Videos:
https://www.youtube.com/playlist?list=PLDV1Zeh2NRsDGO4--qE8yH72HFL1Km93P
0:00 Introduction
0:58 Graph theory as the study of networks
2:23 Common types of graphs
2:43 Undirected graphs
3:14 Directed graphs
4:08 Weighted graphs
4:49 Special graphs
5:07 Trees as a type of graph
5:35 Rooted trees
6:14 Directed acyclic graphs
7:20 Bipartite graphs
8:25 Complete graphs
9:03 Graphs on a computer
9:30 Adjacency matrix
11:22 Adjacency list
12:53 Edge list
===============================
Practicing for interviews? I have used, and recommend `Cracking the Coding Interview` which got me a job at Google. Link on Amazon: https://amzn.to/3cvMof5
A lot of the content on this channel is inspired by the book `Competitive Programming` by Steven Halim which I frequently use as a resource and reference. Link on Amazon: https://amzn.to/3wC2nix
Support me by purchasing the full graph theory course on Udemy which includes additional problems, exercises and quizzes not available on YouTube:
https://www.udemy.com/course/graph-theory-algorithms
- published: 30 Mar 2018
- views: 139637
4:22
Graph Theory Overview
Take the full course: https://bit.ly/SiCourse
Download booklet: https://bit.ly/SiBooklets
Twitter: http://bit.ly/2JuNmXX
LinkedIn: http://bit.ly/2YCP2U6
In thi...
Take the full course: https://bit.ly/SiCourse
Download booklet: https://bit.ly/SiBooklets
Twitter: http://bit.ly/2JuNmXX
LinkedIn: http://bit.ly/2YCP2U6
In this lecture, we start to lay down some of our basic language for talking about networks that comes to us from graph theory a relatively new area of mathematics that studies the properties of graphs.
Transcription:
When we hear the word network all sorts of things spring to mind like social networks and the Internet in particular, but the power of network theory is really in its high degree of abstraction, so the first thing for us to do is to try and start back at the beginning by forgetting what we think we know about networks and embrace the abstract language of networks what is called graph theory. In the formal language of mathematics a network is called a graph and graph theory is the area of mathematics that studies these objects called graphs. The first theory of graphs goes back to 1736, the first textbook came about in 1958 but most of the work within this field is less than a few decades old.
In its essence a graph is really very simple, it consist of just two parts what are called vertices and edges. Firstly Vertices; a vertex or node is a thing, that is to say it is an entity and we can ascribe some value to it, so a person is an example of a node as is a car, planet, farm, city or molecule. All of these things have static properties that can be quantifies, such as the color of our car, the size of our farm, or the weight of our molecule. Within network science vertices are more often called nodes so we will be typically using this term during the course.
Edges can be define as a relation of some sort between two or more nodes, this connection may be tangible as in the cables between computers on a network or the roads between cities within a national transportation system or these edges may by be intangible, such as social relations of friendship. Edges may be also called links, ties or relations and we will be often using this latter term during the course. The nodes belonging to an edge are called the ends, endpoints, or end vertices of the edge.
Within graph theory networks are called graphs and a graph is define as a set of edges and a set vertices. A simple graph does not contain loops or multiple edges, but a multigraph is a graph with multiple edges between nodes. So where as a simple graph of a transpiration system would just tell us if there is a connection between two cities, a multigraph would show all the different connections between the two cities.
Graphs can be directed or undirected. With an undirected graph edges have no orientation, for example a diplomatic relation between two nations may be mutual and thus have no direction to the edge between the nodes. These undirected graphs have unordered pairs of nodes, that means we can just switch them round, if Jane and Paul are married, we can say Jane is married to Paul or we can say Paul is married to Jane it makes no difference and thus it is an unordered pair.
Twitter: http://bit.ly/2TTjlDH
Facebook: http://bit.ly/2TXgrOo
LinkedIn: http://bit.ly/2TPqogN
https://wn.com/Graph_Theory_Overview
Take the full course: https://bit.ly/SiCourse
Download booklet: https://bit.ly/SiBooklets
Twitter: http://bit.ly/2JuNmXX
LinkedIn: http://bit.ly/2YCP2U6
In this lecture, we start to lay down some of our basic language for talking about networks that comes to us from graph theory a relatively new area of mathematics that studies the properties of graphs.
Transcription:
When we hear the word network all sorts of things spring to mind like social networks and the Internet in particular, but the power of network theory is really in its high degree of abstraction, so the first thing for us to do is to try and start back at the beginning by forgetting what we think we know about networks and embrace the abstract language of networks what is called graph theory. In the formal language of mathematics a network is called a graph and graph theory is the area of mathematics that studies these objects called graphs. The first theory of graphs goes back to 1736, the first textbook came about in 1958 but most of the work within this field is less than a few decades old.
In its essence a graph is really very simple, it consist of just two parts what are called vertices and edges. Firstly Vertices; a vertex or node is a thing, that is to say it is an entity and we can ascribe some value to it, so a person is an example of a node as is a car, planet, farm, city or molecule. All of these things have static properties that can be quantifies, such as the color of our car, the size of our farm, or the weight of our molecule. Within network science vertices are more often called nodes so we will be typically using this term during the course.
Edges can be define as a relation of some sort between two or more nodes, this connection may be tangible as in the cables between computers on a network or the roads between cities within a national transportation system or these edges may by be intangible, such as social relations of friendship. Edges may be also called links, ties or relations and we will be often using this latter term during the course. The nodes belonging to an edge are called the ends, endpoints, or end vertices of the edge.
Within graph theory networks are called graphs and a graph is define as a set of edges and a set vertices. A simple graph does not contain loops or multiple edges, but a multigraph is a graph with multiple edges between nodes. So where as a simple graph of a transpiration system would just tell us if there is a connection between two cities, a multigraph would show all the different connections between the two cities.
Graphs can be directed or undirected. With an undirected graph edges have no orientation, for example a diplomatic relation between two nations may be mutual and thus have no direction to the edge between the nodes. These undirected graphs have unordered pairs of nodes, that means we can just switch them round, if Jane and Paul are married, we can say Jane is married to Paul or we can say Paul is married to Jane it makes no difference and thus it is an unordered pair.
Twitter: http://bit.ly/2TTjlDH
Facebook: http://bit.ly/2TXgrOo
LinkedIn: http://bit.ly/2TPqogN
- published: 18 Apr 2015
- views: 178337
27:30
NETWORK, NETWORK TOPOLOGY, GRAPH, ORIENTED GRAPH, TREE, CO-TREE
https://wn.com/Network,_Network_Topology,_Graph,_Oriented_Graph,_Tree,_Co_Tree
- published: 08 Oct 2020
- views: 56466
4:52
Oriented Graph of a Power System
This video clearly explains how to draw the oriented graph when the diagram of a power system is given. Once we obtain the oriented graph, we can get the tree, ...
This video clearly explains how to draw the oriented graph when the diagram of a power system is given. Once we obtain the oriented graph, we can get the tree, co-tree etc and perform suitable operations.
https://wn.com/Oriented_Graph_Of_A_Power_System
This video clearly explains how to draw the oriented graph when the diagram of a power system is given. Once we obtain the oriented graph, we can get the tree, co-tree etc and perform suitable operations.
- published: 05 Jun 2015
- views: 2736
23:01
Graph Theory 1.0
This Video explains network, topology, branch, node, planar graph,nonplanar graph,graph,oriented graph,incidence matrix, Reduced incidence matrix.
This Video explains network, topology, branch, node, planar graph,nonplanar graph,graph,oriented graph,incidence matrix, Reduced incidence matrix.
https://wn.com/Graph_Theory_1.0
This Video explains network, topology, branch, node, planar graph,nonplanar graph,graph,oriented graph,incidence matrix, Reduced incidence matrix.
- published: 31 Mar 2022
- views: 34