The S-graph framework is an approach to solving batch process scheduling problems in chemical plants. S-graph is suited for the problems with a non-intermediate storage (NIS) policy, which often appears in chemical productions, but it is also capable of solving problems with an unlimited intermediate storage (UIS) policy. (Wikipedia).
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
The Definition of a Graph (Graph Theory)
The Definition of a Graph (Graph Theory) mathispower4u.com
From playlist Graph Theory (Discrete Math)
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
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
This video explains the definitions of simple graphs, multigraphs, connected and not connected graphs, complete graphs, and the Handshake lemma. mathispower4u.com
From playlist Graph Theory (Discrete Math)
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
From playlist 3d graphs
Graph of x^2 + y^2 + pxy as p varies
From playlist 3d graphs
Proof: Necessary Component Condition for Graphs with Hamiltonian Paths | Graph Theory
Let G be a graph with a Hamiltonian path (a path containing all vertices of the graph). Then, if we delete any k vertices of G, the resulting graph will have at most k+1 components. We prove this result in today's video graph theory lesson! This is a fairly straightforward proof by induct
From playlist Graph Theory
A formal definition of a Graph and its properties
From playlist Graph Theory
4. Forbidding a subgraph III: algebraic constructions
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 How does one construct graphs that do not contain complet
From playlist MIT 18.217 Graph Theory and Additive Combinatorics, Fall 2019
What are Vertex Separating Sets? | Graph Theory
What are vertex separating sets in graph theory? We'll be going over the definition of a vertex separating set and some examples in today's video graph theory lesson! Let G be a graph and S be a vertex cut of G. As in, S is a set of vertices of G such that G - S is disconnected. Then, let
From playlist Set Theory
MIT 6.042J Mathematics for Computer Science, Spring 2015 View the complete course: http://ocw.mit.edu/6-042JS15 Instructor: Albert R. Meyer License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 6.042J Mathematics for Computer Science, Spring 2015
Proof: Necessary Component Condition for Hamiltonian Graphs | Graph Theory
Let G be a Hamiltonian graph. Then deleting any k vertices from G results in a graph with at most k components. We prove this necessary component condition for Hamiltonian graphs in today's video graph theory lesson! Remember a Hamiltonian graph is a graph containing a Hamiltonian cycle -
From playlist Graph Theory
Graph Theory: 43. Havel-Hakimi Theorem on Graphical Sequences
In this video I provide a proof of the Havel-Hakimi Theorem which gives a necessary and sufficient condition for a sequence of non-negative integers to be graphical (ie to be a degree sequence for some graph). --Bits of Graph Theory by Dr. Sarada Herke. Links to the related videos: ht
From playlist Graph Theory part-8
Introduction to Matching in Bipartite Graphs (Hall's Marriage Theorem)
This video introduces matching in bipartite graphs. mathispower4u.com
From playlist Graph Theory (Discrete Math)
Math Exposition Video 1:Introduction to the Probabilistic Method
This video is (hopefully) going to be part of a series of me tyring to explain mathematics close to my heart :-) This is also going to be my maiden entry into 3Blue1Brown's Summer of Math Exposition. I talk about a couple of intriguing examples,one on Ramsey numbers and the other on domina
From playlist Summer of Math Exposition Youtube Videos
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
Hall's Theorem and Condition for Bipartite Matchings | Graph Theory, Hall's Marriage Theorem
What are Hall's Theorem and Hall's Condition for bipartite matchings in graph theory? Also sometimes called Hall's marriage theorem, we'll be going it in today's video graph theory lesson! A bipartite graph with partite sets U and W, where U has as many or fewer vertices than W, satisfie
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