Graph invariants | Graph coloring
The chromatic polynomial is a graph polynomial studied in algebraic graph theory, a branch of mathematics. It counts the number of graph colorings as a function of the number of colors and was originally defined by George David Birkhoff to study the four color problem. It was generalised to the Tutte polynomial by Hassler Whitney and W. T. Tutte, linking it to the Potts model of statistical physics. (Wikipedia).
Upper and Lower Bounds for the Chromatic Number of a Graph
This video explains how to determine the upper and lower bounds of the chromatic number to various graphs. Then the chromatic number is found. mathispower4u.com
From playlist Graph Theory (Discrete Math)
Edge Coloring and the Chromatic Index of a Graph
This video introduces edge coloring and the chromatic index of a graph. An application of the chromatic index is provided. mathispower4u.com
From playlist Graph Theory (Discrete Math)
Find the Chromatic Number of the Given Graphs
This video explains how to determine a proper vertex coloring and the chromatic number of a graph. mathispower4u.com
From playlist Graph Theory (Discrete Math)
Sketching the graph of a polynomial using the zeros and multiplicity
👉 Learn how to use the tools needed to graph a polynomial function in factored form. A polynomial in factored form is when the polynomial is written as a product of its linear factors. Each linear factor represents an x-intercept and the power of the factor represents the multiplicity. Wh
From playlist Graph a Polynomial Function in Factored Form
👉 Learn about graphing linear equations. A linear equation is an equation whose highest exponent on its variable(s) is 1. i.e. linear equations has no exponents on their variables. The graph of a linear equation is a straight line. To graph a linear equation, we identify two values (x-valu
From playlist ⚡️Graph Linear Equations | Learn About
Summary for graph an equation in Standard form
👉 Learn about graphing linear equations. A linear equation is an equation whose highest exponent on its variable(s) is 1. i.e. linear equations has no exponents on their variables. The graph of a linear equation is a straight line. To graph a linear equation, we identify two values (x-valu
From playlist ⚡️Graph Linear Equations | Learn About
Sketch the graph of the polynomial by hand using zeros, multiplicity and end behavior
👉 Learn how to use the tools needed to graph a polynomial function in factored form. A polynomial in factored form is when the polynomial is written as a product of its linear factors. Each linear factor represents an x-intercept and the power of the factor represents the multiplicity. Wh
From playlist Graph a Polynomial Function in Factored Form
LoĂŻc FOISSY - Cointeracting Bialgebras
Pairs of cointeracting bialgebras recently appears in the literature of combinatorial Hopf algebras, with examples based on formal series, on trees (Calaque, Ebrahimi-Fard, Manchon), graphs (Manchon), posets... We will give several results obtained on pairs of cointeracting bialgebras: act
From playlist Algebraic Structures in Perturbative Quantum Field Theory: a conference in honour of Dirk Kreimer's 60th birthday
[Discrete Mathematics] Graph Coloring and Chromatic Polynomials
We talk about graph coloring and hwo to construct chromatic polynomials. Visit our website: http://bit.ly/1zBPlvm Subscribe on YouTube: http://bit.ly/1vWiRxW *--Playlists--* Discrete Mathematics 1: https://www.youtube.com/playlist?list=PLDDGPdw7e6Ag1EIznZ-m-qXu4XX3A0cIz Discrete Mathemat
From playlist Discrete Math 2
Discrete Math II - 10.8.1 Graph Coloring
This video focuses on graph coloring, in which color the vertices of a graph so that no two adjacent vertices have the same color. Most often, graph coloring is used for scheduling purposes, as we can determine when there are conflicts in scheduling if two vertices are the same color. Vi
From playlist Discrete Math II/Combinatorics (entire course)
Florian Frick (6/4/21): Rips complexes, projective codes, and zeros of odd maps
We will discuss a relation between the topology of Rips complexes (or their metric versions), the size of codes in projective spaces, and structural results for the zero set of odd maps from spheres to Euclidean space. On the one hand, this provides a new topological approach to problems i
From playlist Vietoris-Rips Seminar
Hodge theory for combinatorial geometries - June Huh
Short Talks by Postdoctoral Members June Huh - September 22, 2015 http://www.math.ias.edu/calendar/event/88194/1442952900/1442953800 More videos on http://video.ias.edu
From playlist Short Talks by Postdoctoral Members
Choosing From A Negative Number Of Things?? #SoME2
Combinatorial Reciprocity Theorems by Mattias Beck and Raman Sanyal: https://page.mi.fu-berlin.de/sanyal/teaching/crt/CRT-Book-Online.pdf An introductory look at negative binomial coefficients, and in general, combinatorial reciprocity. First, we explain how to formally justify binomial
From playlist Summer of Math Exposition 2 videos
How do you graph an equation using the intercept method
👉 Learn about graphing linear equations. A linear equation is an equation whose highest exponent on its variable(s) is 1. i.e. linear equations has no exponents on their variables. The graph of a linear equation is a straight line. To graph a linear equation, we identify two values (x-valu
From playlist ⚡️Graph Linear Equations | Learn About
Hard Lefschetz Theorem and Hodge-Riemann Relations for Combinatorial Geometries - June Huh
June Huh Princeton University; Veblen Fellow, School of Mathematics November 9, 2015 https://www.math.ias.edu/seminars/abstract?event=47563 A conjecture of Read predicts that the coefficients of the chromatic polynomial of a graph form a log-concave sequence for any graph. A related conj
From playlist Members Seminar
Graph the polynomial given polynomial and using multiplicity and end behavior
👉 Learn how to use the tools needed to graph a polynomial function in factored form. A polynomial in factored form is when the polynomial is written as a product of its linear factors. Each linear factor represents an x-intercept and the power of the factor represents the multiplicity. Wh
From playlist Graph a Polynomial Function in Factored Form
Robert Burklund : The chromatic Nullstellensatz
CONFERENCE Recording during the thematic meeting : « Chromatic Homotopy, K-Theory and Functors» the January 26, 2023 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Jean Petit Find this video and other talks given by worldwide mathematicians on CIR
From playlist Topology
Chern classes of Schubert cells and varieties - June Huh
June Huh Princeton University; Veblen Fellow, School of Mathematics March 30, 2015 Chern-Schwartz-MacPherson class is a functorial Chern class defined for any algebraic variety. I will give a geometric proof of a positivity conjecture of Aluffi and Mihalcea that Chern classes of Schubert
From playlist Mathematics
Combinatorial applications of the Hodge–Riemann relations – June Huh – ICM2018
Combinatorics Invited Lecture 13.5 Combinatorial applications of the Hodge–Riemann relations June Huh Abstract: Why do natural and interesting sequences often turn out to be log-concave? We give one of many possible explanations, from the viewpoint of “standard conjectures”. We illustrat
From playlist Combinatorics
Sketch the graph of a factored polynomial using multiplicity
👉 Learn how to use the tools needed to graph a polynomial function in factored form. A polynomial in factored form is when the polynomial is written as a product of its linear factors. Each linear factor represents an x-intercept and the power of the factor represents the multiplicity. Wh
From playlist Graph a Polynomial Function in Factored Form