Graph invariants

Radius (graph theory)

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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

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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

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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

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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

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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

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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

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radius and diameter

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

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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

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Circle Terminology - Radius Diameter Sector Segment Chord Arc Tangent | Geometry | Math | FuseSchool

DESCRIPTION: There are some key words we need to know for circles: radius, circumference, diameter, sector, segment, tangent, chord and arc. In this video we discover what they all mean. The radius is the distance from the centre of a circle to a point on the circle. A diameter is the dist

From playlist MATHS: Geometry & Measures

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Wolfram Physics Project: Working Session Mar. 30, 2021 [Dimension Evolution in the Early Universe]

This is a Wolfram Physics Project working session on dimension evolution in the early Universe in the Wolfram Model. Begins at 7:35 Originally livestreamed at: https://twitch.tv/stephen_wolfram Stay up-to-date on this project by visiting our website: http://wolfr.am/physics Check out the

From playlist Wolfram Physics Project Livestream Archive

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Omer Bobrowski: Random Simplicial Complexes, Lecture III

A simplicial complex is a collection of vertices, edges, triangles, tetrahedra and higher dimensional simplexes glued together. In other words, it is a higher-dimensional generalization of a graph. In recent years there has been a growing effort in developing the theory of random simplicia

From playlist Workshop: High dimensional spatial random systems

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Andrea Pulita: An overview on some recent results about p-adic differential equations ...

Abstract: I will give an introductory talk on my recent results about p-adic differential equations on Berkovich curves, most of them in collaboration with J. Poineau. This includes the continuity of the radii of convergence of the equation, the finiteness of their controlling graphs, the

From playlist Algebraic and Complex Geometry

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Problem Session 5

MIT 6.006 Introduction to Algorithms, Spring 2020 Instructor: Justin Solomon View the complete course: https://ocw.mit.edu/6-006S20 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP63EdVPNLG3ToM6LaEUuStEY Five example problems are worked. Topcis include graph radius, gra

From playlist MIT 6.006 Introduction to Algorithms, Spring 2020

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Graph Theory: 05. Connected and Regular Graphs

We give the definition of a connected graph and give examples of connected and disconnected graphs. We also discuss the concepts of the neighbourhood of a vertex and the degree of a vertex. This allows us to define a regular graph, and we give some examples of these. --An introduction to

From playlist Graph Theory part-1

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Lecture 4: The Open Mapping Theorem and the Closed Graph Theorem

MIT 18.102 Introduction to Functional Analysis, Spring 2021 Instructor: Dr. Casey Rodriguez View the complete course: https://ocw.mit.edu/courses/18-102-introduction-to-functional-analysis-spring-2021/ YouTube Playlist: https://www.youtube.com/watch?v=G3mAXHuoDSw&list=PLUl4u3cNGP63micsJp_

From playlist MIT 18.102 Introduction to Functional Analysis, Spring 2021

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Distance (graph theory)