In graph theory and computer science, an adjacency list is a collection of unordered lists used to represent a finite graph. Each unordered list within an adjacency list describes the set of neighbors of a particular vertex in the graph. This is one of several commonly used representations of graphs for use in computer programs. (Wikipedia).

Graph Representation part 03 - Adjacency List

See complete series on data structures here: http://www.youtube.com/playlist?list=PL2_aWCzGMAwI3W_JlcBbtYTwiQSsOTa6P In this lesson, we have talked about Adjacency List representation of Graph and analyzed its time and space complexity of adjacency list representation. Previous Lesson:

From playlist Data structures

Section 3b Adjacency Matrix and Incidence Matrix

From playlist Graph Theory

Graph Representation part 02 - Adjacency Matrix

See complete series on data structures here: http://www.youtube.com/playlist?list=PL2_aWCzGMAwI3W_JlcBbtYTwiQSsOTa6P In this lesson, we have talked about Adjacency Matrix representation of Graph and analyzed its time and space complexity of adjacency matrix representation. Previous Less

From playlist Data structures

How do we represent graphs using adjacency matrices? That is the subject of today's graph theory lesson! We will take a graph and use an adjacency matrix to represent it! It is a most soulless, but at times useful, graph representation. An adjacency matrix has a row and a column for each

From playlist Graph Theory

Graph Representation part 01 - Edge List

See complete series on data structures here: http://www.youtube.com/playlist?list=PL2_aWCzGMAwI3W_JlcBbtYTwiQSsOTa6P In this lesson, we have described how we can represent and store a graph in computer's memory as vertex-list and edge-list. We have analyzed the time and space complexities

From playlist Data structures

Dihedral group example

In this veideo we continue our look in to the dihedral groups, specifically, the dihedral group with six elements. We note that two of the permutation in the group are special in that they commute with all the other elements in the group. In the next video I'll show you that these two el

From playlist Abstract algebra

Abundant, Deficient, and Perfect Numbers ← number theory ← axioms

Integers vary wildly in how "divisible" they are. One way to measure divisibility is to add all the divisors. This leads to 3 categories of whole numbers: abundant, deficient, and perfect numbers. We show there are an infinite number of abundant and deficient numbers, and then talk abou

From playlist Number Theory

We show the connection between the method of adjoints in optimal control to the implicit function theorem ansatz. We relate the costate or adjoint state variable to Lagrange multipliers.

This is Lecture 11 of the CSE373 (Analysis of Algorithms) course taught by Professor Steven Skiena [http://www.cs.sunysb.edu/~skiena/] at Stony Brook University in 2007. The lecture slides are available at: http://www.cs.sunysb.edu/~algorith/video-lectures/2007/lecture11.pdf More informa

From playlist CSE373 - Analysis of Algorithms - 2007 SBU

Lecture 10 - Graph Data Structures

This is Lecture 10 of the CSE373 (Analysis of Algorithms) taught by Professor Steven Skiena [http://www.cs.sunysb.edu/~skiena/] at Stony Brook University in 1997. The lecture slides are available at: http://www.cs.sunysb.edu/~algorith/video-lectures/1997/lecture14.pdf

From playlist CSE373 - Analysis of Algorithms - 1997 SBU

This is Lecture 11 of the CSE373 (Analysis of Algorithms) course taught by Professor Steven Skiena [http://www3.cs.stonybrook.edu/~skiena/] at Stony Brook University in 2016. The lecture slides are available at: https://www.cs.stonybrook.edu/~skiena/373/newlectures/lecture11.pdf More inf

From playlist CSE373 - Analysis of Algorithms 2016 SBU

Isomorphic Graphs Have the Same Degree Sequence | Graph Theory

We prove that isomorphic graphs have the same degree sequence. This isn't too surprising since graph isomorphisms preserve adjacency and non-adjacency of vertices by definition. We'll prove it by taking an arbitrary vertex from our graph G, and show it has the same degree as its image unde

From playlist Graph Theory

Graph Data Structure 1. Terminology and Representation (algorithms)

This is the first in a series of videos about the graph data structure. It mentions the applications of graphs, defines various terminology associated with graphs, and describes how a graph can be represented programmatically by means of adjacency lists or an adjacency matrix.

From playlist Data Structures