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
Introduction to Vertex Coloring and the Chromatic Number of a Graph
This video introduces vertex coloring and provides example of how to determine the chromatic number of a graph. mathispower4u.com
From playlist Graph Theory (Discrete Math)
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
Graph Coloring is NP-Complete - Intro to Algorithms
This video is part of an online course, Intro to Algorithms. Check out the course here: https://www.udacity.com/course/cs215.
From playlist Introduction to Algorithms
Edge Colorings and Chromatic Index of Graphs | Graph Theory
We introduce edge colorings of graphs and the edge chromatic number of graphs, also called the chromatic index. We'll talk about k-colorings/k-edge colorings, minimum edge colorings, edge colourings as matchings, edge colourings as functions, and see examples and non-examples of edge color
From playlist Graph Theory
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
Louis Theran: Rigidity of Random Graphs in Higher Dimensions
I will discuss rigidity properties of binomial random graphs G(n,p(n)) in fixed dimension d and some related problems in low-rank matrix completion. The threshold for rigidity is p(n) = Θ(log n / n), which is within a multiplicative constant of optimal. This talk is based on joint work wi
From playlist HIM Lectures 2015
Iwasawa Main Conjecture for Universal Families by Xin Wan
PROGRAM ELLIPTIC CURVES AND THE SPECIAL VALUES OF L-FUNCTIONS (HYBRID) ORGANIZERS: Ashay Burungale (CalTech/UT Austin, USA), Haruzo Hida (UCLA), Somnath Jha (IIT Kanpur) and Ye Tian (MCM, CAS) DATE: 08 August 2022 to 19 August 2022 VENUE: Ramanujan Lecture Hall and online The program pla
From playlist ELLIPTIC CURVES AND THE SPECIAL VALUES OF L-FUNCTIONS (2022)
Deep Maths - machine learning and mathematics
In December 2021 mathematicians at Oxford and Sydney universities together with their collaborators at Google DeepMind announced that they had successfully used tools from machine learning to discover new patterns in mathematics. But what exactly had they done and what are its implications
From playlist Oxford Mathematics Public Lectures
Rota's conjecture and positivity of algebraic cycles in toric varieties - June Huh
June Huh Member, School of Mathematics September 25, 2014 More videos on http://video.ias.edu
From playlist Mathematics
Proof: The Angle Bisector Theorem
This video states and proves the angle bisector theorem. Complete Video List: http://www.mathispower4u.yolasite.com
From playlist Relationships with Triangles
Dependent random choice - Jacob Fox
Marston Morse Lectures Topic: Dependent random choice Speaker: Jacob Fox, Stanford University Date: October 26, 2016 For more videos, visit http://video.ias.edu
From playlist Mathematics
K-groups and Global Fields by Haiyan Zhou
12 December 2016 to 22 December 2016 VENUE : Madhava Lecture Hall, ICTS Bangalore The Birch and Swinnerton-Dyer conjecture is a striking example of conjectures in number theory, specifically in arithmetic geometry, that has abundant numerical evidence but not a complete general solution.
From playlist Theoretical and Computational Aspects of the Birch and Swinnerton-Dyer Conjecture
The Four-Color Theorem and an Instanton Invariant for Spatial Graphs I - Peter Kronheimer
Peter Kronheimer Harvard University October 13, 2015 http://www.math.ias.edu/seminars/abstract?event=83214 Given a trivalent graph embedded in 3-space, we associate to it an instanton homology group, which is a finite-dimensional Z/2 vector space. The main result about the instanton hom
From playlist Geometric Structures on 3-manifolds
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
The Million Dollar Problem that Went Unsolved for a Century - The Poincaré Conjecture
Topology was barely born in the late 19th century, but that didn't stop Henri Poincaré from making what is essentially the first conjecture ever in the subject. And it wasn't any ordinary conjecture - it took a hundred years of mathematical development to solve it using ideas so novel that
From playlist Math
Converse of Parallel Lines Theorem
Watch more videos on http://www.brightstorm.com/math/geometry SUBSCRIBE FOR All OUR VIDEOS! https://www.youtube.com/subscription_center?add_user=brightstorm2 VISIT BRIGHTSTORM.com FOR TONS OF VIDEO TUTORIALS AND OTHER FEATURES! http://www.brightstorm.com/ LET'S CONNECT! Facebook ► https
From playlist Geometry
Maria Chudnovsky: Induced cycles and coloring
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist Combinatorics
This video is part of an online course, Intro to Algorithms. Check out the course here: https://www.udacity.com/course/cs215.
From playlist Introduction to Algorithms