Extensions and generalizations of graphs
In mathematics, and, in particular, in graph theory, a rooted graph is a graph in which one vertex has been distinguished as the root. Both directed and undirected versions of rooted graphs have been studied, and there are also variant definitions that allow multiple roots. Rooted graphs may also be known (depending on their application) as pointed graphs or flow graphs. In some of the applications of these graphs, there is an additional requirement that the whole graph be reachable from the root vertex. (Wikipedia).
This video introduces rooted trees and how to define the relationships among vertices in a rooted tree. mathispower4u.com
From playlist Graph Theory (Discrete Math)
Given a Rooted Tree, Determine Relationships
This video analyzes the relationships of vertices in a rooted tree. mathispower4u.com
From playlist Graph Theory (Discrete Math)
Given the Graph of a Rooted Tree List the Children, Parents and Siblings of All Vertices
This video explains how to determine the children, parents, and siblings of all vertices in a rooted tree. mathispower4u.com
From playlist Graph Theory (Discrete Math)
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
Tree Graphs - Intro to Algorithms
This video is part of an online course, Intro to Algorithms. Check out the course here: https://www.udacity.com/course/cs215.
From playlist Introduction to Algorithms
Intro to Tree Graphs | Trees in Graph Theory, Equivalent Definitions
What are trees in graph theory? Tree graphs are connected graphs with no cycles. We'll introduce them and some equivalent definitions, with of course examples of tree graphs in today's graph theory video lesson! Some equivalent definitions of tree graphs are as follows. A graph is a tree
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)
Graph Theory: 36. Definition of a Tree
In this video I define a tree and a forest in graph theory. I discuss the difference between labelled trees and non-isomorphic trees. I also show why every tree must have at least two leaves. An introduction to Graph Theory by Dr. Sarada Herke. Related Videos: http://youtu.be/zxu0dL436gI
From playlist Graph Theory part-7
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
What is the limit of a sequence of graphs?? | Benjamini-Schramm Convergence
This is an introduction to the mathematical concept of Benjamini-Schramm convergence, which is a type of graph limit theory which works well for sparse graphs. We hope that most of it is understandable by a wide audience with some mathematical background (including some prior exposure to g
From playlist Summer of Math Exposition Youtube Videos
Ramanujan graphs of every degree - Daniel Spielman
Daniel Spielman Yale University November 6, 2014 We explain what Ramanujan graphs are, and prove that there exist infinite families of bipartite Ramanujan graphs of every degree. Our proof follows a plan suggested by Bilu and Linial, and exploits a proof of a conjecture of theirs about li
From playlist Mathematics
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From playlist Simplilearn Live
Brainstorming: Graphing a Polynomial Using Its Roots
In this video, we learn about how to sketch a graph of a polynomial function using the leading term as well as the roots and their multiplicities. College Algebra homepage: http://webspace.ship.edu/jehamb/calg.html
From playlist College Algebra
Square Roots Graphing (Learn Algebra 1)
Learn how to graph square root functions in this free math video tutorial by Mario's Math Tutoring. This video lesson is a preview for the Learn Algebra 1 video course for sale. 0:08 What is a Square Root Function 0:29 Graphing y = Square root of x by Making a Table 1:03 Domain & Range
From playlist Learn Algebra 1
Software Development Course Day - 2 | Data Structures & Algorithms | Software Developer |Simplilearn
🔥Explore our FREE Courses with Completion Certificates: https://www.simplilearn.com/skillup-free-online-courses?utm_campaign=SoftDevCourseOct12&utm_medium=DescriptionFirstFold&utm_source=youtube This software development course is a series of live sessions where we will understand in-depth
From playlist Simplilearn Live
Graph Square Root and Cube Root Functions
Learn how to graph square root and cube root functions in this free math video tutorial by Mario's Math Tutoring. 0:09 What is a Parent Function 0:19 Making a Table and Graphing the Parent Function y = Square Root x 0:49 What is the Domain and Range of a Square Root Function 1:01 A More G
From playlist Algebra 1
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From playlist Simplilearn Live
C# Trees and Graphs Explained | Data Structures and Algorithms in C# | C# Tutorial | Simplilearn
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From playlist C# Training 🔥[2022 Updated]
Weakly Connected Directed Graphs | Digraph Theory
What is a connected digraph? When we start considering directed graphs, we have to rethink our definition of connected. We say that an undirected graph is connected if there exists a path connecting every pair of vertices. However, in a directed graph, we need to be more specific since it
From playlist Graph Theory