Bridge (graph theory)

Graph Theory: 34. Bridge edges

I define what a bridge edge is in a graph and provide several examples. Then I explain a proof that an edge is a bridge in a graph if and only if the edge is not in any cycle of the graph. An introduction to Graph Theory by Dr. Sarada Herke. Related Videos: http://youtu.be/SFFEc8DbO0Y -

From playlist Graph Theory part-7

Proof: A Bridge is the Unique Path connecting its End Vertices | Graph Theory

If e=uv is a bridge of a graph, then there exists a unique path connecting u and v, and this path is the bridge itself! We'll be proving this result about bridges and their end vertices in today's graph theory lesson! Recall that a bridge of a connected graph is an edge that when deleted

From playlist Graph Theory

What are Bridges of Graphs? | Graph Theory, Edge Deletion

What are bridges of graphs? Bridges are the edge version of cut vertices. If e is an edge of a graph G and deleting e disconnected the component it belongs to, then e is an edge. So, for a connected graph G, an edge e is a bridge of G if G-e is disconnected. For a disconnected graph G, e

From playlist Graph Theory

Graph Theory: 35. Bridges in Connected Graphs

Here I provide a proof of the fact that removing a bridge edge in a connected graph results in a graph with exactly 2 connected components. An introduction to Graph Theory by Dr. Sarada Herke. Related Videos: http://youtu.be/zxu0dL436gI - Graph Theory: 34. Bridge edges For quick videos

From playlist Graph Theory part-7

What are Connected Graphs? | Graph Theory

What is a connected graph in graph theory? That is the subject of today's math lesson! A connected graph is a graph in which every pair of vertices is connected, which means there exists a path in the graph with those vertices as endpoints. We can think of it this way: if, by traveling acr

From playlist Graph Theory

Edge Subtraction and Bridges in Graphs | Graph Theory, Edge Deletion

What is edge subtraction in graph theory? How do we delete an edge from a graph? And what is a bridge? That's what we'll be going over in today's video graph theory lesson! When we delete a vertex from a graph we also need to delete the incident edges, but deleting an edge is a bit simple

From playlist Graph Theory

What is a Graph? | Graph Theory

What is a graph? A graph theory graph, in particular, is the subject of discussion today. In graph theory, a graph is an ordered pair consisting of a vertex set, then an edge set. Graphs are often represented as diagrams, with dots representing vertices, and lines representing edges. Each

From playlist Graph Theory

Graph theory full course for Beginners

In mathematics, graph #theory is the study of graphs, which are mathematical structures used to model pairwise relations between objects. A #graph in this context is made up of vertices (also called nodes or points) which are connected by edges (also called links or lines). A distinction i

From playlist Graph Theory

Graph Theory: 01. Seven Bridges of Konigsberg

The Seven Bridges of Konigsberg Problem was solved by Euler in 1735 and that was the beginning of Graph Theory! In this video, we explain the problem and the method that Euler used to solve it. In this introductory video, no previous knowledge of Graph Theory will be assumed. --An intro

From playlist Graph Theory part-1

Graph Theory: 02. Definition of a Graph

In this video we formally define what a graph is in Graph Theory and explain the concept with an example. In this introductory video, no previous knowledge of Graph Theory will be assumed. --An introduction to Graph Theory by Dr. Sarada Herke. This video is a remake of the "02. Definitio

From playlist Graph Theory part-1

Intro to Graph Theory | Definitions & Ex: 7 Bridges of Konigsberg

Leonhard Euler, a famous 18th century mathematician, founded graph theory by studying a problem called the 7 bridges of Konigsberg. Could one travel over a connection of landmasses and bridges hitting each bridge exactly once? This motivated abstract study and graph theory was born. We f

From playlist Discrete Math (Full Course: Sets, Logic, Proofs, Probability, Graph Theory, etc)

Math Explorations Ep21, More graph theory (Mar 22, 2022)

This is a recording of a live class for Math 1015, Mathematics: An Exploration, an undergraduate course for non-technical majors at Fairfield University, Spring 2022. The major topics are voting, gerrymandering, and graph theory. Handouts and homework are at the class website. Class web

From playlist Math 1015 (Mathematical Explorations) Spring 2022

Overview of algorithms in Graph Theory

An overview of the computer science algorithms in Graph Theory 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 Previous video (intro): h

From playlist Graph Theory Playlist

Rocky Mountain Ruby 2017 - The (Non-Perfect) Mathematics of Trust by Vaidehi Joshi

Rocky Mountain Ruby 2017 - The (Non-Perfect) Mathematics of Trust by Vaidehi Joshi

From playlist Rocky Mountain Ruby 2017

Introduction to Graph Theory

This video introduces the subject of graph theory. mathispower4u.com

From playlist Graph Theory (Discrete Math)

AQA Decision 1 3.01 Introducing Graph Theory: The Bridges of Konigsberg Problem

I introduce the initial basis for Graph Theory: Leonhard Euler's Bridges of Konigsberg problem.

From playlist [OLD SPEC] TEACHING AQA DECISION 1 (D1)

Graph Theory Terminology

From playlist M. Graph Theory