Graph connectivity | Graph invariants
In graph theory, toughness is a measure of the connectivity of a graph. A graph G is said to be t-tough for a given real number t if, for every integer k > 1, G cannot be split into k different connected components by the removal of fewer than tk vertices. For instance, a graph is 1-tough if the number of components formed by removing a set of vertices is always at most as large as the number of removed vertices. The toughness of a graph is the maximum t for which it is t-tough; this is a finite number for all finite graphs except the complete graphs, which by convention have infinite toughness. Graph toughness was first introduced by Václav Chvátal. Since then there has been extensive work by other mathematicians on toughness; the recent survey by lists 99 theorems and 162 papers on the subject. (Wikipedia).
The Strength of GRAPHENE Explained
The Strength of GRAPHENE Explained - In this video I discuss about Graphene and where does the 10x stronger or 200x stronger than steel comes from. Enjoy!
From playlist The Magic World of Graphene
Simple Bounds on Vertex Connectivity | Graph Theory
We know that the vertex connectivity of a graph is the minimum number of vertices that can be deleted to disconnect it or make it trivial. We may then ask, what is an upper bound on the connectivity of a graph? What is a lower bound on the vertex connectivity of a graph? We give the most b
From playlist Graph Theory
Computing Limits from a Graph with Infinities
In this video I do an example of computing limits from a graph with infinities.
From playlist Limits
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 Neural Networks, Session 2: Graph Definition
Types of Graphs Common data structures for storing graphs
From playlist Graph Neural Networks (Hands-on)
What are Bridges of Graphs? | Graph Theory, Edge Deletion
What are bridges of graphs? Bridges are the edge version of cut vertices. If e is an edge of a graph G and deleting e disconnected the component it belongs to, then e is an edge. So, for a connected graph G, an edge e is a bridge of G if G-e is disconnected. For a disconnected graph G, e
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
Diameter of a Graph | Graph Theory
What is the diameter of a graph in graph theory? This is a simple term we will define with examples in today's video graph theory lesson! Remember that the distance between two connected vertices in a graph is the length of a shortest path between those vertices. Here's my lesson on dist
From playlist Graph Theory
Intro to heat treatment of steel (hardening and tempering)
I try to bridge the gap between in-depth theoretical explanations of heat treatment, and rote tradition.
From playlist Chemistry and Materials
Get your free quote with Lumerit here: http://go.lumerit.com/realengineering/ Second Channel: https://www.youtube.com/channel/UCMet4qY3027v8KjpaDtDx-g Stress and strain is one of the first things you will cover in engineering. It is the most fundamental part of material science and it's
From playlist Real Engineering
Graphene Could Solve the World's Water Crisis
Turning saltwater into clean drinking water is an expensive, energy-intensive process, but could the wonder material graphene make it more accessible? New Discovery Could Unlock Graphene's Full Potential - https://youtu.be/J0ZMi83oUjk Sign Up For The Seeker Newsletter Here - http://b
From playlist All About Diamonds & Graphene
Reaching Breaking Point: Materials, Stresses, & Toughness: Crash Course Engineering #18
Today we’re going to start thinking about materials that are used in engineering. We’ll look at mechanical properties of materials, stress-strain diagrams, elasticity and toughness, and describe other material properties like hardness, creep strength, and fatigue strength. Crash Course En
From playlist Engineering
Calculus 1: Lecture 3.4 Concavity and The Second Derivative Test
This is a classroom lecture on Calculus 1. I go over concavity and the second derivative test. I hope this helps someone:)
From playlist Calculus 1 Full Lectures
The Matching Problem in General Graphs is in Quasi-NC - Ola Svensson
Computer Science/Discrete Mathematics Seminar I Topic: The Matching Problem in General Graphs is in Quasi-NC Speaker: Ola Svensson Affiliation: École polytechnique fédérale de Lausanne Date: January 22, 2018 For more videos, please visit http://video.ias.edu
From playlist Mathematics
Reviewing Trigonometric Functions (1 of 3: Re-introducing the sine graph)
More resources available at www.misterwootube.com
From playlist Trigonometric Functions and Graphs
5 Surprising Things About Math Majors that Nobody Ever Tells You
I talk about five things that nobody ever tells you about being a math major. If you enjoyed this video please consider liking, sharing, and subscribing. Udemy Courses Via My Website: https://mathsorcerer.com My FaceBook Page: https://www.facebook.com/themathsorcerer There are several
From playlist Inspiration and Advice
Graph y = 3x + 2 and it’s Inverse - very interesting, need to know
TabletClass Math: https://tcmathacademy.com/ Algebra help with functions and function inverses to include how to graph along the y=x line of symmetry. For more math help to include math lessons, practice problems and math tutorials check out my full math help program at https://tcmathac
From playlist GED Prep Videos
All the Math Classes that Math Majors Take
In this video I go over all of the classes that most math majors take. These are the ones I took which were, all of the most common ones and the recommended ones for a pure math degree. Hopefully this gives you an idea of what kind of things you will study if you decide to major in math. I
From playlist Book Reviews
Edge Cuts and Edge Connectivity | Graph Theory
Edge cuts, minimum edge cuts, minimal edge cuts, and edge connectivity are all introduced in today's graph theory lesson! Edge cuts are similar to vertex cuts but, of course, with edges! An edge cut of a nontrivial graph G is a set, X, of edges of G, such that G-X is disconnected. The car
From playlist Graph Theory