Clique (graph theory)

What is a Clique? | Graph Theory, Cliques

What is a clique? A clique in graph theory is an interesting concept with a lot of depth to explore. We define the term and give some examples in today's math video lesson! A clique C of a graph G is usually defined as a subset of the vertex set of G such that every pair of distinct verti

From playlist Graph Theory

What is a Maximal Clique? | Graph Theory, Cliques, Maximal Cliques

What are maximal cliques? Cliques are cool, but there are some special types of cliques as well, one of which is the maximal clique, which we discuss in today's graph theory video lesson! Remember that a clique is a set of vertices that are all adjacent in a graph, or it is also sometimes

From playlist Graph Theory

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

Maximum and Maximal Cliques | Graph Theory, Clique Number

What are maximum cliques and maximal cliques in graph theory? We'll be defining both terms in today's video graph theory lesson, as well as going over an example of finding maximal and maximum cliques in a graph. These two terms can be a little confusing, so let's dig in and clarify our un

From playlist Graph Theory

Clique Problem - 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

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

What is a Graph? | Graph Theory

What is a graph? A graph theory graph, in particular, is the subject of discussion today. In graph theory, a graph is an ordered pair consisting of a vertex set, then an edge set. Graphs are often represented as diagrams, with dots representing vertices, and lines representing edges. Each

From playlist Graph Theory

Graph Theory FAQs: 01. More General Graph Definition

In video 02: Definition of a Graph, we defined a (simple) graph as a set of vertices together with a set of edges where the edges are 2-subsets of the vertex set. Notice that this definition does not allow for multiple edges or loops. In general on this channel, we have been discussing o

From playlist Graph Theory FAQs

The Definition of a Graph (Graph Theory)

The Definition of a Graph (Graph Theory) mathispower4u.com

From playlist Graph Theory (Discrete Math)

Nexus trimester - David Gamarnik (MIT)

(Arguably) Hard on Average Optimization Problems and the Overlap Gap Property David Gamarnik (MIT) March 17, 2016 Abstract: Many problems in the area of random combinatorial structures and high-dimensional statistics exhibit an apparent computational hardness, even though the formal resu

From playlist 2016-T1 - Nexus of Information and Computation Theory - CEB Trimester

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

Lower bounds for subgraph isomorphism – Benjamin Rossman – ICM2018

Mathematical Aspects of Computer Science Invited Lecture 14.3 Lower bounds for subgraph isomorphism Benjamin Rossman Abstract: We consider the problem of determining whether an Erdős–Rényi random graph contains a subgraph isomorphic to a fixed pattern, such as a clique or cycle of consta

From playlist Mathematical Aspects of Computer Science

Network Analysis. Lecture10. Community detection

Community detection algorithms. Overlapping communities. Clique percolation method. Heuristic methods. Label propagation. Fast community unfolding. Random walk based methods. Walktrap. Nibble. Lecture slides: http://www.leonidzhukov.net/hse/2015/networks/lectures/lecture10.pdf

From playlist Structural Analysis and Visualization of Networks.

15. NP-Completeness

MIT 18.404J Theory of Computation, Fall 2020 Instructor: Michael Sipser View the complete course: https://ocw.mit.edu/18-404JF20 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP60_JNv2MmK3wkOt9syvfQWY Quickly reviewed last lecture. Covered NP-completeness; SAT and 3SAT;

From playlist MIT 18.404J Theory of Computation, Fall 2020

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

Lecture 1 Graphs Definition

A formal definition of a Graph and its properties

From playlist Graph Theory