Graph families | Planar graphs

Map graph

In graph theory, a branch of mathematics, a map graph is an undirected graph formed as the intersection graph of finitely many simply connected and internally disjoint regions of the Euclidean plane. The map graphs include the planar graphs, but are more general. Any number of regions can meet at a common corner (as in the Four Corners of the United States, where four states meet), and when they do the map graph will contain a clique connecting the corresponding vertices, unlike planar graphs in which the largest cliques have only four vertices. Another example of a map graph is the king's graph, a map graph of the squares of the chessboard connecting pairs of squares between which the chess king can move. (Wikipedia).

Map graph
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Planar graphs

Planar graphs, What are planar graphs? In this video we take a look at what a planar graph is and how Mathematica can check to see if a graph is planar. In short, a planar graph is one that can be drawn in the plane such that no edges cross. If you want to learn more about Mathematica,

From playlist Introducing graph theory

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Graphing Equations By Plotting Points - Part 1

This video shows how to graph equations by plotting points. Part 1 of 2 http://www.mathispower4u.yolasite.com

From playlist Graphing Various Functions

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Graph Theory: 57. Planar Graphs

A planar graph is a graph that can be drawn in the plane without any edge crossings. Such a drawing (with no edge crossings) is called a plane graph. A given plane graph divides the plane into regions and each region has a boundary that outlines it. We look at some examples and also giv

From playlist Graph Theory part-10

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What is a Path Graph? | Graph Theory

What is a path graph? We have previously discussed paths as being ways of moving through graphs without repeating vertices or edges, but today we can also talk about paths as being graphs themselves, and that is the topic of today's math lesson! A path graph is a graph whose vertices can

From playlist Graph Theory

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Graph Theory FAQs: 04. Isomorphism vs Homomorphism

In this video we recall the definition of a graph isomorphism and then give the definition of a graph homomorphism. Then we look at two examples of graph homomorphisms and discuss a special case that relates to graph colourings. -- Graph Theory FAQs by Dr. Sarada Herke. Related videos:

From playlist Graph Theory FAQs

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Lecture 7: From Equivariance to Naturality - Pim de Haan

Video recording of the First Italian School on Geometric Deep Learning held in Pescara in July 2022. Slides: https://www.sci.unich.it/geodeep2022/slides/2022-07-27%20Naturality%20@%20First%20Italian%20GDL%20Summer%20School.pdf

From playlist First Italian School on Geometric Deep Learning - Pescara 2022

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Graph Theory FAQs: 02. Graph Automorphisms

An automorphism of a graph G is an isomorphism between G and itself. The set of automorphisms of a graph forms a group under the operation of composition and is denoted Aut(G). The automorphisms of a graph describe the symmetries of the graph. We look at a few examples of graphs and det

From playlist Graph Theory FAQs

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Graph Theory: 14a. Basic Graph Theory Problem Set 2

--An introduction to Graph Theory by Dr. Sarada Herke.

From playlist Graph Theory part-3

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Joel Friedman - Sheaves on Graphs, L^2 Betti Numbers, and Applications.

Joel Friedman (University of British Columbia, Canada) Sheaf theory and (co)homology, in the generality developed by Grothendieck et al., seems to hold great promise for applications in discrete mathematics. We shall describe sheaves on graphs and their applications to (1) solving the

From playlist T1-2014 : Random walks and asymptopic geometry of groups.

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Graph Theory FAQs: 01. More General Graph Definition

In video 02: Definition of a Graph, we defined a (simple) graph as a set of vertices together with a set of edges where the edges are 2-subsets of the vertex set. Notice that this definition does not allow for multiple edges or loops. In general on this channel, we have been discussing o

From playlist Graph Theory FAQs

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Live CEOing Ep 626: Language Design in Wolfram Language [HeadMap, Scan* and More]

In this episode of Live CEOing, Stephen Wolfram discusses upcoming improvements and features to the Wolfram Language. If you'd like to contribute to the discussion in future episodes, you can participate through this YouTube channel or through the official Twitch channel of Stephen Wolfram

From playlist Behind the Scenes in Real-Life Software Design

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Sarah Percival 7/27/22: Computation of Reeb Graphs in a Semi-Algebraic Setting

The Reeb graph is a tool from Morse theory that has recently found use in applied topology due to its ability to track changes in connectivity of level sets of a function. In this talk, I will motivate the use of semi-algebraic geometry as a setting for problems in applied topology and sho

From playlist AATRN 2022

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Priyam Patel: Mapping class groups of infinite-type surfaces and their actions on hyperbolic graphs

CONFERENCE Recording during the thematic meeting : "Big Mapping Class Group and Diffeomorphism Groups " the October 11, 2022 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mat

From playlist Topology

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A Few Conceptual Examples with Statistical Graphs

Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys A Few Conceptual Examples with Statistical Graphs

From playlist Statistics

Related pages

Clique (graph theory) | Graph theory | Chromatic number | Induced subgraph | Intersection graph | Polynomial-time approximation scheme | Bipartite graph | Bipartite half | Planar graph | King's graph | 1-planar graph | Degree (graph theory) | Euclidean plane | Bidimensionality | Parameterized complexity | Graph power