In graph theory, the strong product is a way of combining two graphs to make a larger graph. Two vertices are adjacent in the strong product when they come from pairs of vertices in the factor graphs that are either adjacent or identical. The strong product is one of several different graph product operations that have been studied in graph theory. The strong product of any two graphs can be constructed as the union of two other products of the same two graphs, the Cartesian product of graphs and the tensor product of graphs. An example of a strong product is the king's graph, the graph of moves of a chess king on a chessboard, which can be constructed as a strong product of path graphs. Decompositions of planar graphs and related graph classes into strong products have been used as a central tool to prove many other results about these graphs. Care should be exercised when encountering the term strong product in the literature, since it has also been used to denote the tensor product of graphs. (Wikipedia).
Strongly Connected Directed Graphs | Graph Theory, Digraph Theory
What are strongly connected digraphs? That's what we'll be going over in today's graph theory lesson. We'll recap connectedness, what it means to be weakly connected, and then finish off with the definition of strongly connected! We say a directed graph D is strongly connected if, for eve
From playlist Graph Theory
SAT math Q6 calculator allowed #shorts
Which of the following graphs best shows a strong negative association between d and t? Take My SAT Quiz Here: https://pythagoreanmath.com/quizzes/sat-quiz/ #shorts #maths #sat #satmath #satprep #mathematics #math #college
From playlist #shorts mathematicsonline
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: 49. Cartesian Product of Graphs
What is the Cartesian product of two graphs? We start with a reminder of what this means just for sets and then provide the formal definition for graphs. We include a few examples to become familiar with the idea and we also briefly discuss what a hypercube (or n-cube) is in graph theory
From playlist Graph Theory part-8
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
Graphing Equations By Plotting Points - Part 1
This video shows how to graph equations by plotting points. Part 1 of 2 http://www.mathispower4u.yolasite.com
From playlist Graphing Various Functions
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 Isomorphic Graphs? | Graph Isomorphism, Graph Theory
How do we formally describe two graphs "having the same structure"? The term for this is "isomorphic". Two graphs that have the same structure are called isomorphic, and we'll define exactly what that means with examples in today's video graph theory lesson! Check out the full Graph Theor
From playlist Graph Theory
Low-x phenomenology (LXPH - Lecture 3) by Raju Venugopalan
PROGRAM THE MYRIAD COLORFUL WAYS OF UNDERSTANDING EXTREME QCD MATTER ORGANIZERS: Ayan Mukhopadhyay, Sayantan Sharma and Ravindran V DATE: 01 April 2019 to 17 April 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Strongly interacting phases of QCD matter at extreme temperature and
From playlist The Myriad Colorful Ways of Understanding Extreme QCD Matter 2019
Sparsification of graphs and matrices - Daniel Spielman
Daniel Spielman Yale University November 3, 2014 Random graphs and expander graphs can be viewed as sparse approximations of complete graphs, with Ramanujan expanders providing the best possible approximations. We formalize this notion of approximation and ask how well an arbitrary graph
From playlist Mathematics
On The Cover Time of Random Walks on Graphs - Nathanaël Berestycki
Probability Seminar Topic: On The Cover Time of Random Walks on Graphs Speaker: Nathanaël Berestycki Affiliation: University of Vienna Date: February 3, 2023 How long does it take for a random walk to cover all the vertices of a graph? And what is the structure of the uncovered set (th
From playlist Mathematics
Markoff surfaces and strong approximation - Alexander Gamburd
Special Seminar Topic: Markoff surfaces and strong approximation Speaker: Alexander Gamburd Affiliation: The Graduate Center, The City University of New York Date: December 8, 2017 For more videos, please visit http://video.ias.edu
From playlist Mathematics
Keeping your code strong by Jack Danger Canty
Help us caption & translate this video! http://amara.org/v/FGiL/
From playlist MWRC 2012
AP Chem- Buffers-Ksp-3- Titrations (2-2)
Join Presidential Award winning teachers Jonathan Bergmann and Aaron Sams as they teach AP Chemistry: AP Chem- Buffers-Ksp-3- Titrations
From playlist Flipped Learning: AP Chemistry Lessons
Limit Theorems for Spatial Interacting Models by Yogeshwaran D
PROGRAM: TOPICS IN HIGH DIMENSIONAL PROBABILITY ORGANIZERS: Anirban Basak (ICTS-TIFR, India) and Riddhipratim Basu (ICTS-TIFR, India) DATE & TIME: 02 January 2023 to 13 January 2023 VENUE: Ramanujan Lecture Hall This program will focus on several interconnected themes in modern probab
From playlist TOPICS IN HIGH DIMENSIONAL PROBABILITY
Correlation Coefficient (PMCC) on a Casio Graphical Calculator (Statistics S1/ A Level / IB)
Find Pearson's Product Moment Correlation Coefficient (PMCC) simply with a Casio graphical calculator. Revise plotting a Scatter graph in a typical A level Further Mathematics Stats S2 question. (Also suitable for IB Math Statistics and Biology courses). #MathsRulesFools #CasioCalculato
From playlist 2017 AS Level Further Mathematics Statistics 2 New Specification Revision (AQA Edexcel OCR MEI)
Jon Lee: Comparing polyhedral relaxations via volume
With W. Morris in 1992, I introduced the idea of comparing polytopes relevant to combinatorial optimization via calculation of n-dimensional volumes. I will review some of that work (related to fixed-charge problems) and describe some new work, with E. Speakman, relevant to the spatial bra
From playlist HIM Lectures: Trimester Program "Combinatorial Optimization"
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
Arithmetic and Dynamics on Varieties of Markoff Type -Alexander Gamburd
Arithmetic Groups Topic: Arithmetic and Dynamics on Varieties of Markoff Type Speaker: Alexander Gamburd Affiliation: The City University of New York Date: April 13, 2022 The Markoff equation x2+y2+z2=3xyz, which arose in his spectacular thesis (1879), is ubiquitous in a tremendous varie
From playlist Mathematics