Computational problems in graph theory

Maximum common edge subgraph

Given two graphs and , the maximum common edge subgraph problem is the problem of finding a graph with as many edges as possible which is isomorphic to both a subgraph of and a subgraph of . The maximum common edge subgraph problem on general graphs is NP-complete as it is a generalization of subgraph isomorphism: a graph is isomorphic to a subgraph of another graph if and only if the maximum common edge subgraph of and has the same number of edges as . Unless the two inputs and to the maximum common edge subgraph problem are required to have the same number of vertices, the problem is APX-hard. (Wikipedia).

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The Greatest Common Factor

This video explains how to determine the GCF of integers and expressions. http://mathispower4u.wordpress.com/

From playlist Integers

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Highest Common Factor & Lowest Common Multiple - GCSE Mathematics

How to find the highest common factor and lowest common multiple (hcf and lcm) of any two numbers using prime factors. ❤️ ❤️ ❤️ Support the channel ❤️ ❤️ ❤️ https://www.youtube.com/channel/UCf89Gd0FuNUdWv8FlSS7lqQ/join

From playlist Number

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What are the Maximum and Maximal Cliques of this Graph? | Graph Theory

How do we find the maximum and maximal cliques of a graph? We'll go over an example in today's graph theory lesson of doing just that! To use these elementary methods, we just need to remember our definitions. A clique of a graph G is a complete subgraph of G. We also call the vertex set

From playlist Graph Theory

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Ex: Determine Factors and Greatest Common Factor Using a Fraction Wall or Rods

This video explains how to determine the factors and greatest common factor of two whole numbers using a fraction wall or rods. Site: http://mathispower4u.com

From playlist Factors, LCM, and GCF of Whole Numbers

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Graph Theory: 50. Maximum vs Maximal

Here we describe the difference between two similar sounding words in mathematics: maximum and maximal. We use concepts in graph theory to highlight the difference. In particular, we define an independent set in a graph and a component in a graph and look at some examples. -- Bits of Gra

From playlist Graph Theory part-9

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Factor Expressions 2

factoring algebraic expressions with the greatest common factor

From playlist Common Core Standards - 8th Grade

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Ex 2: Determine the Least Common Multiple Using a Fraction Wall or Rods

This video explains how to determine the least common multiple of two whole numbers using a fraction wall or rods. Site: http://mathispower4u.com

From playlist Factors, LCM, and GCF of Whole Numbers

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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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Live CEOing Ep 141: Chemistry Functions in Wolfram Language

Watch Stephen Wolfram and teams of developers in a live, working, language design meeting. This episode is about Chemistry Functions in the Wolfram Language.

From playlist Behind the Scenes in Real-Life Software Design

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3. Forbidding a subgraph II: complete bipartite subgraph

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 What is the maximum number of edges in a graph forbidding

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

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Kent Quanrud: On Iterative Peeling and Supermodularity for Densest Subgraph

The densest subgraph problem in a graph (DSG), in the simplest form, is the following. Given an undirected graph G = (V,E) find a subset S ⊆ V of vertices that maximizes the ratio |E(S)|/|S| where E(S) is the set of edges with both endpoints in S. DSG and several of its variants are well-s

From playlist Workshop: Continuous approaches to discrete optimization

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Lecture 22 - More Reductions

This is Lecture 22 of the CSE373 (Analysis of Algorithms) taught by Professor Steven Skiena [http://www.cs.sunysb.edu/~skiena/] at Stony Brook University in 1997. The lecture slides are available at: http://www.cs.sunysb.edu/~algorith/video-lectures/1997/lecture24.pdf

From playlist CSE373 - Analysis of Algorithms - 1997 SBU

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Matchings, Perfect Matchings, Maximum Matchings, and More! | Independent Edge Sets, Graph Theory

What are matchings, perfect matchings, complete matchings, maximal matchings, maximum matchings, and independent edge sets in graph theory? We'll be answering that great number of questions in today's graph theory video lesson! A matching in a graph is a set of edges with no common end-ve

From playlist Graph Theory

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Ex 1: Identify GCF and Factor a Binomial

This video explains how to find the greatest common factor of a binomial and then how to factor the greatest common factor out of a binomial. Complete Video Listing: http://www.mathispower4u.com Search by Topic: http://www.mathispower4u.wordpress.com

From playlist Determining the Greatest Common Factor and Factoring by Grouping

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AMMI 2022 Course "Geometric Deep Learning" - Seminar 2 (Subgraph GNNs) - Fabrizio Frasca

Video recording of the course "Geometric Deep Learning" taught in the African Master in Machine Intelligence in July 2022 Seminar 2 - Subgraphs for more powerful GNNs - Fabrizio Frasca (Twitter) Slides: https://www.dropbox.com/s/tnuhppf1fqmv6y9/AIMS%202020%20-%20Seminar%202%20-%20Subgra

From playlist AMMI Geometric Deep Learning Course - Second Edition (2022)

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Dynamic Graph Algorithms and Their Implementation

Abstract: While many algorithmic graph problems have been solved for static graphs, graphs that are used as models in various applications often change dynamically and, thus, require algorithms that can adapt quickly to the deletion and insertion of edges. I will start with providing an ov

From playlist SIAG-ACDA Online Seminar Series

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Factor Trinomial with a GCF of the Leading Coefficient: 5x^3-85x^2+360x, 6x^4+78x^3+216x^2

This video explains how to factor a trinomial in the form ax^2+bx+c when a is a GCF. http://mathispower4u.com

From playlist Factoring Trinomials with a Leading Coefficient Not 1

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Dieter Rautenbach: Restricted types of matchings

Abstract: We present new results concerning restricted types of matchings such as uniquely restricted matchings and acyclic matchings, and we also consider the corresponding edge coloring notions. Our focus lies on bounds, exact and approximative algorithms. Furthermore, we discuss some ma

From playlist Combinatorics

Related pages

Graph (discrete mathematics) | Subgraph isomorphism problem | Glossary of graph theory | Graph isomorphism | Induced subgraph isomorphism problem