Diameter and Radius of Graphs | Graph Theory
We define the radius of a graph and the diameter of a graph using the eccentricity of vertices. We relate these terms intuitively back to circles and discuss several examples of graph diameter and graph radius. We also introduce a theorem stating the diameter of a graph is bounded between
From playlist Graph Theory
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
Diameter and Radius of Tree Graphs | Graph Theory
We discuss what family of tree graphs have maximum diameter, minimum diameter, maximum radius, and minimum radius. Recall the diameter of a graph is the maximum distance between any two vertices. The radius of a graph is the minimum eccentricity of any vertex. We'll find the star graphs ha
From playlist Graph Theory
Graph Theory: 52. Radius and Diameter Examples
We have discussed the terms radius and diameter in a previous video. Here we work through two simple proofs which involve these concepts. First we show that the complement of a disconnected graph has diameter at most 2. Then we show that any given graph is the centre of some connected g
From playlist Graph Theory part-9
Graph Diameter is Bounded by Radius | Graph Theory
We prove the diameter of a graph lies between the radius and two times the radius of the graph. This is a fun result which invokes some of the feeling of the classic d=2r formula from elementary geometry, and all it takes to prove is the triangle inequality! #graphtheory Graphs are Metri
From playlist Graph Theory
Graph Theory: 51. Eccentricity, Radius & Diameter
Eccentricity, radius and diameter are terms that are used often in graph theory. They are related to the concept of the distance between vertices. The distance between a pair of vertices is the length of a shortest path between them. We begin by reviewing some of the properties of dista
From playlist Graph Theory part-9
Circles and Solids: Radius, Diameter, and Naming Solids
This video explains how to determine the radius and diameter of a circle. Various solids are also named.
From playlist Circles
playlist at: http://www.youtube.com/view_play_list?p=8E39E839B4C6B1DE https://sites.google.com/site/shaunteaches/ radius and diameter
From playlist Common Core Standards - 6th Grade
Graph Theory: 06 Sum of Degrees is ALWAYS Twice the Number of Edges
This is usually the first Theorem that you will learn in Graph Theory. We explain the idea with an example and then give a proof that the sum of the degrees in a graph is twice the number of edges. --An introduction to Graph Theory by Dr. Sarada Herke. Links to the related videos: https
From playlist Graph Theory part-1
Samplings and Observables. Limits of measured metric spaces - Gabor Elek
Conference on Graphs and Analysis Gabor Elek June 4, 2012 More videos on http://video.ias.edu
From playlist Mathematics
Proof: Degree Sum Condition for Connected Graphs | Connected Graphs, Nonadjacent Vertices
If every pair of nonadjacent vertices in a graph has a degree sum greater than or equal to one less than the number of vertices in the graph, then the graph is connected and has a diameter less than or equal to 2, and we will prove this theorem in today's video graph theory lesson! This i
From playlist Graph Theory
Distance Between Two Vertices in Graphs | Graph Theory
What is the distance between two vertices in graph theory? We'll define vertex distance in graph theory, as well as defining graph geodiscs and graph diameter in today's lesson! The distance between two connected vertices is the length of a shortest path connecting them. The distance betw
From playlist Graph Theory
Proof: Connected Graph Contains Two Non-Cut Vertices | Graph Theory, Connected Graphs
Every connected graph with at least two vertices contains two vertices (at least), that can be deleted without disconnecting the graph. Let's say our graph with at least two vertices is G. So there must be two vertices, say u and v, such that G-u and G-v are both connected. Thus, G contain
From playlist Graph Theory
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)
Henry Adams - Bridging applied and geometric topology
38th Annual Geometric Topology Workshop (Online), June 15-17, 2021 Henry Adams, Colorado State University Title: Bridging applied and geometric topology Abstract: I will advertise open questions in applied topology for which tools from geometric topology are relevant. If a point cloud is
From playlist 38th Annual Geometric Topology Workshop (Online), June 15-17, 2021