Graph operations

Disjoint union of graphs

In graph theory, a branch of mathematics, the disjoint union of graphs is an operation that combines two or more graphs to form a larger graph.It is analogous to the disjoint union of sets, and is constructed by making the vertex set of the result be the disjoint union of the vertex sets of the given graphs, and by making the edge set of the result be the disjoint union of the edge sets of the given graphs. Any disjoint union of two or more nonempty graphs is necessarily disconnected. (Wikipedia).

Disjoint union of graphs
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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

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Graph Theory: Isomorphisms and Connectedness

This video is about isomorphisms between graphs and connectedness of graphs.

From playlist Basics: Graph Theory

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Solutions to Basic OR Compound Inequalities

This video explains how to graph the solution to an OR compound inequality and express the solution using interval notation. http://mathispower4u.com

From playlist Solving and Graphing Compound Inequalities

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Solutions to Basic AND Compound Inequalities

This video explains how to graph the solution to an AND compound inequality and express the solution using interval notation. http://mathispower4u.com

From playlist Solving and Graphing Compound Inequalities

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Determine If an Ordered Pair is a Solution to a Linear Equation

This video explains how to determine if an ordered pair is a solution to a given linear equation. http://mathispower4u.com

From playlist Graphing Linear Equations Using a Table of Values

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Graph Theory: 09. Graph Isomorphisms

In this video I provide the definition of what it means for two graphs to be isomorphic. I illustrate this with two isomorphic graphs by giving an isomorphism between them, and conclude by discussing what it means for a mapping to be a bijection. An introduction to Graph Theory by Dr. Sar

From playlist Graph Theory part-2

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Parallel Edges in Multigraphs and Digraphs | Graph Theory, Multiple Edges, Multisets

What are parallel edges, also called multiple edges or multi-edges, in graph theory? We'll introduce parallel edges in the context of undirected multi-graphs and in directed graphs in today's video graph theory lesson! Lesson on directed graphs: https://www.youtube.com/watch?v=mXoiHgH4mE

From playlist Graph Theory

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MAST30026 Lecture 7: Constructing topological spaces (Part 2)

I defined the disjoint union of topological spaces, quotient spaces and the pushout. Lecture notes: http://therisingsea.org/notes/mast30026/lecture7.pdf The class webpage: http://therisingsea.org/post/mast30026/ Have questions? I hold free public online office hours for this class, every

From playlist MAST30026 Metric and Hilbert spaces

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Kruskals Algorithm | Kruskals Algorithm For Minimum Spanning Trees | Data Structures | Simplilearn

Don't forget to participate in challenging activity at --:-- This video on Kruskal Algorithm will acquaint you with the theoretical explanation and complete drive-through example for constructing a minimum spanning tree for given graph. This data structure tutorial will acquaint you with c

From playlist Data Structures & Algorithms

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Graph Theory: 25. Graph Decompositions

I define a general graph decomposition, a cycle decomposition and a path decomposition with simple examples. An introduction to Graph Theory by Dr. Sarada Herke. For quick videos about Math tips and useful facts, check out my other channel "Spoonful of Maths" - http://youtube.com/spoon

From playlist Graph Theory part-5

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Danny Calegari: Big Mapping Class Groups - lecture 2

Part I - Theory : In the "theory" part of this mini-course, we will present recent objects and phenomena related to the study of big mapping class groups. In particular, we will define two faithful actions of some big mapping class groups. The first is an action by isometries on a Gromov-h

From playlist Topology

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Graphing the system of two linear inequalities with two horizontal line

👉 Learn how to graph a system of inequalities. A system of inequalities is a set of inequalities which are collectively satisfied by a certain range of values for the variables. To graph a system of inequalities, each inequality making up the system is graphed individually with the side of

From playlist Solve a System of Inequalities by Graphing

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Idealness of k-wise intersecting families, by Tony Huynh

CMSA Combinatorics Seminar, 6 October 2020

From playlist CMSA Combinatorics Seminar

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Non-amenable groups admitting no sofic approximation by expander graphs - Gabor Kun

Stability and Testability Topic: Non-amenable groups admitting no sofic approximation by expander graphs Speaker: Gabor Kun Affiliation: Alfréd Rényi Institute of Mathematics Date: February 10, 2021 For more video please visit http://video.ias.edu

From playlist Stability and Testability

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Graphing an or compound inequality and showing the graph of the solution

👉 Learn how to solve compound inequalities and graph their solution on a number line. A compound inequality is an inequality having more than 1 inequality sign. To solve compound inequalities, we use inverse operations, applying the inverse operation to each side of the compound inequalit

From playlist Solve Compound Inequalities With OR

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MAST30026 Lecture 7: Constructing topological spaces (Part 3)

Today's lecture was all about examples, constructed using the disjoint union, quotient and pushouts from last lecture. These examples includes the torus, Mobius band, and finally arbitrary CW complexes. Lecture notes: http://therisingsea.org/notes/mast30026/lecture7.pdf The class webpage:

From playlist MAST30026 Metric and Hilbert spaces

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2-universality of random graphs - Gal Kronenberg

Computer Science/Discrete Mathematics Seminar I Topic: 2-universality of random graphs. Speaker: Gal Kronenberg Affiliation: Tel Aviv University Date: October 29, 2018 For more video please visit http://video.ias.edu

From playlist Mathematics

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Benson Farb, Part 3: Reconstruction problems in geometry and topology

29th Workshop in Geometric Topology, Oregon State University, June 30, 2012

From playlist Benson Farb: 29th Workshop in Geometric Topology

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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

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MAST30026 Lecture 11: Hausdorff spaces (Part 2)

This lecture contains the first half of the proof that a finite CW-complex is a Hausdorff space. Lecture notes: http://therisingsea.org/notes/mast30026/lecture11.pdf The class webpage: http://therisingsea.org/post/mast30026/ Have questions? I hold free public online office hours for this

From playlist MAST30026 Metric and Hilbert spaces

Related pages

Graph theory | Cluster graph | Regular graph | Graph (discrete mathematics) | Connectivity (graph theory) | Cycle graph | Complete graph | Complement graph | Cograph | Tree (graph theory) | Disjoint union