Geometric graph theory | Topological graph theory

Crossing Numbers of Graphs

Crossing Numbers of Graphs is a book in mathematics, on the minimum number of edge crossings needed in graph drawings. It was written by Marcus Schaefer, a professor of computer science at DePaul University, and published in 2018 by the CRC Press in their book series Discrete Mathematics and its Applications. (Wikipedia).

Crossing Numbers of Graphs
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Let's talk about multiple crossings. - J. Pach - Workshop 1 - CEB T1 2018

János Pach (EPFL Lausanne and Renyi) / 29.01.2018 Let k +/= 1 be a fixed integer. It is conjectured that any graph on n vertices that can be drawn in the plane without k pairwise crossing edges has O(n) edges. Two edges of a hypergraph cross each other if neither of them contains the oth

From playlist 2018 - T1 - Model Theory, Combinatorics and Valued fields

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Graphing Regions on the Cartesian Plane

More resources available at www.misterwootube.com

From playlist Graphing Techniques (related content)

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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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Straight line graphs (parallel)

Powered by https://www.numerise.com/ Straight line graphs (parallel)

From playlist Linear sequences & straight lines

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Intersection of Straight Lines

"Find the point of intersection of two straight lines given their equations."

From playlist Algebra: Straight Line Graphs

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AQA A-Level Further Maths D11-02 Reciprocal Graphs: Sketching y = 1/f(x)

Navigate all of my videos at https://sites.google.com/site/tlmaths314/ Like my Facebook Page: https://www.facebook.com/TLMaths-1943955188961592/ to keep updated Follow me on Instagram here: https://www.instagram.com/tlmaths/ Many, MANY thanks to Dean @deanencoded for designing my openin

From playlist AQA A-Level Further Maths D11: Reciprocal Graphs

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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

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Graphing Inequalities - G10

Graph simple inequalities on a number line.

From playlist Algebra: Linear Equations with One Variable

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Distance Formula given a graph

An example using the distance formula when given a graph to analyze

From playlist Geometry

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26. Sum-product problem and incidence geometry

MIT 18.217 Graph Theory and Additive Combinatorics, Fall 2019 Instructor: Yufei Zhao View the complete course: https://ocw.mit.edu/18-217F19 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP62qauV_CpT1zKaGG_Vj5igX A famous open problem says that no set of integers can si

From playlist MIT 18.217 Graph Theory and Additive Combinatorics, Fall 2019

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Topics in Combinatorics lecture 3.0 --- Crossing numbers and point-line incidences

Suppose you have n points and m lines in the plane. A point-line incidence is a pair (P,L) where P is one of the points and L is one of the lines. How many point-line incidences can there be, given m and n? This question is answered by the Szemerédi-Trotter theorem: the answer, up to a mul

From playlist Topics in Combinatorics (Cambridge Part III course)

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What are Planar Graphs? | Graph Theory

What are planar graphs? How can we draw them in the plane? In today's graph theory lesson we'll be defining planar graphs, plane graphs, regions of plane graphs, boundaries of regions of plane graphs, and introducing Euler's formula for connected plane graphs. A planar graph is a graph t

From playlist Graph Theory

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15. Graph limits II: regularity and counting

MIT 18.217 Graph Theory and Additive Combinatorics, Fall 2019 Instructor: Yufei Zhao View the complete course: https://ocw.mit.edu/18-217F19 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP62qauV_CpT1zKaGG_Vj5igX Prof. Zhao explains how graph limits can be used to gener

From playlist MIT 18.217 Graph Theory and Additive Combinatorics, Fall 2019

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Graphing Rational Functions (Precalculus - College Algebra 44)

Support: https://www.patreon.com/ProfessorLeonard Professor Leonard Merch: https://professor-leonard.myshopify.com How to efficiently sketch rational functions by using Horizontal Asymptotes, Vertical Asymptotes, Oblique Asymptotes, End Behavior, X-Intercepts, Y-Intercept, and select point

From playlist Precalculus - College Algebra/Trigonometry

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Inequalities with Polynomial Functions (Precalculus - College Algebra 46)

Support: https://www.patreon.com/ProfessorLeonard Professor Leonard Merch: https://professor-leonard.myshopify.com How to solve inequalities that involve polynomial functions beyond quadratic. Focus will be on solving inequalities with a graphical approach using multiplicity of x-intercep

From playlist Precalculus - College Algebra/Trigonometry

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Which Complete Graphs are Planar? | Graph Theory

Which complete graphs are planar? Which complete graphs are nonplanar? We'll answer this question in today's graph theory lesson! We'll see that K1, K2, K3, and K4 are all planar complete graphs. Then, we'll prove that K5 is nonplanar and see why that implies no complete graph with at le

From playlist Graph Theory

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Brainstorming: Graphing a Polynomial Using Its Roots

In this video, we learn about how to sketch a graph of a polynomial function using the leading term as well as the roots and their multiplicities. College Algebra homepage: http://webspace.ship.edu/jehamb/calg.html

From playlist College Algebra

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Largest Possible Number of Edges for Various Types of Graphs

The video explains how to determine the maximum number of possible edges for various types of graphs. mathispower4u.com

From playlist Graph Theory (Discrete Math)

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Topological graph theory | Book embedding | Planar graph | Turán's brick factory problem | Hypercube graph | Computational complexity | Hanani–Tutte theorem | String graph | Graph theory | Albertson conjecture | Complete bipartite graph | Cycle graph | Complete graph | Graph product | Fáry's theorem | Chromatic number | Bisection bandwidth | Computational complexity theory | Thrackle | 1-planar graph | Algorithm | Crossing number inequality | Crossing number (graph theory) | Thickness (graph theory)