Subgraphs and Induced Subgraphs
This video defines and gives examples of subgraphs and induced subgraphs. mathispower4u.com
From playlist Graph Theory (Discrete Math)
A subgraph consist of nodes and edges of a larger graph. In this tutorial I show you what a subgraph is and present an elegant representation in Mathematica. You can learn more about Mathematica on my Udemy course at https://www.udemy.com/mathematica/ PS! Wait until Udemy has a sale an
From playlist Introducing graph theory
What is an Edge-Induced Subgraph? | Graph Theory
What is an edge-induced subgraph? Edge-induced subgraphs are, in my opinion, a less interesting counterpart to vertex-induced subgraphs, but we will go over them in today's math lesson nonetheless! So just what are edge induced subgraphs? Edge induced subgraphs are basically subgraphs cre
From playlist Graph Theory
What is a Vertex Induced Subgraph? | Graph Theory
What are vertex-induced subgraphs? We go over them in today's math lesson! Recall that a graph H is a subgraph of a graph G if and only if every vertex in H is also in G, and every edge in H is also in G. In other words, the vertex set and edge set of H are subsets of the vertex set and ed
From playlist Graph Theory
What is a Subgraph? | Graph Theory
What is a subgraph? We go over it in today's math lesson! If you're familiar with subsets, then subgraphs are probably exactly what you think they are. Recall that a graph G = (V(G), E(G)) is an ordered pair with a vertex set V(G) and an edge set E(G). Then, another graph H = (V(H), E(H))
From playlist Graph Theory
Proper and Improper Subgraphs | Graph Theory
What are proper and improper subgraphs? We'll go over definitions and examples in today's video graph theory lesson. Given a graph G, a subgraph H of G is a graph whose vertices and edges are also vertices and edges of G. If H = G, then H is an improper subgraph of G. If H is not equal to
From playlist Graph Theory
Graph and Subgraph Sparsification and its Implications to Linear System Solving... - Alex Kolla
Alexandra Kolla Institute for Advanced Study November 10, 2009 I will first give an overview of several constructions of graph sparsifiers and their properties. I will then present a method of sparsifying a subgraph W of a graph G with optimal number of edges and talk about the implicatio
From playlist Mathematics
Overview of Loops in Graph Theory | Graph Loop, Multigraphs, Pseudographs
What are loops in graph theory? Sometimes called self loops, a loop in a graph is an edge that connects a vertex to itself. These are not allowed in what are often called "simple graphs", which are the graphs we usually study when we begin studying graph theory. In simple graphs, loop ed
From playlist Graph Theory
Extremal theory of ordered graphs – Gábor Tardos – ICM2018
Combinatorics Invited Lecture 13.3 Extremal theory of ordered graphs Gábor Tardos Abstract: We call simple graphs with a linear order on the vertices ‘ordered graphs’. Turán-type extremal graph theory naturally extends to ordered graphs. This is a survey on the ongoing research in the ex
From playlist Combinatorics
Maria CHUDNOVKY - Induced subgraphs and tree decompositions
https://ams-ems-smf2022.inviteo.fr/
From playlist International Meeting 2022 AMS-EMS-SMF
Bojan Mohar: Embedding extension problems
Recording during the thematic meeting: "Graphs and surfaces: algorithms, combinatorics and topology" the May 12, 2016 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematici
From playlist Mathematical Aspects of Computer Science
Graph Theory: 12. Spanning and Induced Subgraphs
Here I provide the definition of a subgraph of a graph. I describe what it means for a subgraph to be spanning or induced and use examples to illustrate these concepts. --An introduction to Graph Theory by Dr. Sarada Herke. For quick videos about Math tips and useful facts, check out my
From playlist Graph Theory part-2
Complex Factoid Question Answering with a Free-Text Knowledge Graph
We introduce DELFT, a factoid question answering system which combines the nuance and depth of knowledge graph question answering approaches with the broader coverage of free-text. DELFT builds a free-text knowledge graph from Wikipedia, with entities as nodes and sentences in which entit
From playlist Research Talks
From Robust Sublinear Expanders to Additive Number Theory via Rainbow Cycles - Matija Bucic
Computer Science/Discrete Mathematics Seminar II Topic: From Robust Sublinear Expanders to Additive Number Theory via Rainbow Cycles Speaker: Matija Bucic Affiliation: Veblen Research Instructor, School of Mathematics Date: February 21, 2023 Robust sublinear expansion represents a fairl
From playlist Mathematics
Maria Chudnovsky: Coloring graphs with forbidden induced paths
Abstract: The problem of testing if a graph can be colored with a given number k of colors is NP-complete for every k[greater than]2. But what if we have more information about the input graph, namely that some fixed graph H is not present in it as an induced subgraph? It is known that the
From playlist Combinatorics
A Classification of Planar Graphs - A Proof of Kuratowski's Theorem
A visually explained proof of Kuratowski's theorem, an interesting, important and useful result classifying "planar" graphs. Proof adapted from: http://math.uchicago.edu/~may/REU2017/REUPapers/Xu,Yifan.pdf and: https://www.math.cmu.edu/~mradclif/teaching/228F16/Kuratowski.pdf Also check
From playlist Summer of Math Exposition Youtube Videos
根付き二分系統ネットワークの構造定理と全域系統樹に関する色々な問題への応用
早稲田大学 基幹理工学部 応用数理学科2年生を対象とするオムニバス講義「応用数理概論」における早水の担当回（第25回・第26回）の授業動画です．履修者の方はWaseda Moodleを見たうえで，下記の再生リストにあるガイダンス動画と共にご視聴ください． ▷ 2020年度応用数理概論（第25回・第26回）の再生リスト https://youtube.com/playlist?list=PLCo60G1m_iboyOgcogs2JyXrhuQh1SZ43 ☆ 参考文献 ☆ ▷ この動画で解説した内容について連載記事を書かせていただいた雑誌 ‐『数学セミナー』2020年1月号
From playlist 2020 Advanced Topic in Modern Mathematical Sciences 2
Lecture 2: A structure theorem for rooted binary phylogenetic networks and its various applications
This video is one of the two introductory lectures (Introduction to Discrete Mathematical Biology) given by Momoko Hayamizu as part of an omnibus lecture series "Advanced Modern Mathematical Sciences 2" for undergraduate mathematics majors at Waseda University. In this lecture, she gives a
From playlist 2020 Advanced Topic in Modern Mathematical Sciences 2
What is a Spanning Subgraph? | Graph Theory
What is a spanning subgraph? We go over this special type of subgraph in today's math lesson! Recall that a graph is an ordered pair G = ( V(G), E(G) ) with vertex set V and edge set E. Another graph, H = ( V(H), E(H) ) is a subgraph of G if and only if V(H) is a subset of V(G) and E(H) is
From playlist Graph Theory
Forbidden Patterns in Tropical Planar Curves by Ayush Kumar Tewari
PROGRAM COMBINATORIAL ALGEBRAIC GEOMETRY: TROPICAL AND REAL (HYBRID) ORGANIZERS Arvind Ayyer (IISc, India), Madhusudan Manjunath (IITB, India) and Pranav Pandit (ICTS-TIFR, India) DATE & TIME 27 June 2022 to 08 July 2022 VENUE Madhava Lecture Hall and Online Algebraic geometry is the stu
From playlist Combinatorial Algebraic Geometry: Tropical and Real (HYBRID)