Degree Sequence of a Graph | Graph Theory, Graphical Sequences
What is a degree sequence of a graph? Are graphs with the same degree sequence isomorphic? Do isomorphic graphs have the same degree sequence? We’ll go over all of this in today’s video graph theory lesson! Recall that the degree of a vertex is the number of edges incident to the vertex.
From playlist Graph Theory
What is an arithmetic sequence
👉 Learn about sequences. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. There are many types of sequence, among which are: arithmetic and geometric sequence. An arithmetic sequence is a sequence in which
From playlist Sequences
👉 Learn about sequences. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. There are many types of sequence, among which are: arithmetic and geometric sequence. An arithmetic sequence is a sequence in which
From playlist Sequences
What is the alternate in sign sequence
👉 Learn about sequences. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. There are many types of sequence, among which are: arithmetic and geometric sequence. An arithmetic sequence is a sequence in which
From playlist Sequences
What is the definition of an arithmetic sequence
👉 Learn about sequences. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. There are many types of sequence, among which are: arithmetic and geometric sequence. An arithmetic sequence is a sequence in which
From playlist Sequences
What is the formula for the rule for the nth term of a arithmetic sequence
👉 Learn about sequences. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. There are many types of sequence, among which are: arithmetic and geometric sequence. An arithmetic sequence is a sequence in which
From playlist Sequences
What are the formulas for arithmetic and geometric sequences
👉 Learn about sequences. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. There are many types of sequence, among which are: arithmetic and geometric sequence. An arithmetic sequence is a sequence in which
From playlist Sequences
What is the difference between finite and infinite sequences
👉 Learn about sequences. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. There are many types of sequence, among which are: arithmetic and geometric sequence. An arithmetic sequence is a sequence in which
From playlist Sequences
Graph Theory: 44. Degree Sequence of a Tree
In this video I provide a proof of a necessary and sufficient condition for a sequence of positive integers to be a degree sequence of a tree. Bits of Graph Theory by Dr. Sarada Herke. Links to the related videos: http://youtu.be/aNKO4ttWmcU - Graph Theory: 42. Degree Sequences and Graph
From playlist Graph Theory part-8
Which Sequences are Graphical? (Degree Sequences and Havel-Hakimi algorithm) | Graph Theory
How do we determine if a sequence is graphical? Remember that a sequence is graphical if it is the degree sequence of some graph. It is of course very easy, given a graph, to find its degree sequence. We just identify the degrees of its vertices then write those degrees in non-increasing o
From playlist Graph Theory
Graph Theory: 42. Degree Sequences and Graphical Sequences
Here I describe what a degree sequence is and what makes a sequence graphical. Using some examples I'll describe some obvious necessary conditions (which are not sufficient). Then I explain how a Theorem by Havel and Hakimi gives a necessary and sufficient condition for a sequence of non
From playlist Graph Theory part-8
Given a Degree Sequence, Determine if the Graph is a Tree
This video explains how to determine if a given graph degree sequence is a tree never, sometimes, or always. mathispower4u.com
From playlist Graph Theory (Discrete Math)
Graph Theory: 43. Havel-Hakimi Theorem on Graphical Sequences
In this video I provide a proof of the Havel-Hakimi Theorem which gives a necessary and sufficient condition for a sequence of non-negative integers to be graphical (ie to be a degree sequence for some graph). --Bits of Graph Theory by Dr. Sarada Herke. Links to the related videos: ht
From playlist Graph Theory part-8
Lecture 19 - Degree Sequences & Invariants
This is Lecture 19 of the CSE547 (Discrete Mathematics) taught by Professor Steven Skiena [http://www.cs.sunysb.edu/~skiena/] at Stony Brook University in 1999. The lecture slides are available at: http://www.cs.sunysb.edu/~algorith/math-video/slides/Lecture%2019.pdf More information may
From playlist CSE547 - Discrete Mathematics - 1999 SBU
Asymptotic enumeration of graphs with given degree sequence – Nicholas Wormald – ICM2018
Combinatorics Invited Lecture 13.7 Asymptotic enumeration of graphs with given degree sequence Nicholas Wormald Abstract: We survey results on counting graphs with given degree sequence, focusing on asymptotic results, and mentioning some of the applications of these results. The main re
From playlist Combinatorics
Degree Lowering Along Arithmetic Progressions - Borys Kuca
Special Year Informal Seminar Topic: Degree Lowering Along Arithmetic Progressions Speaker: Borys Kuca Affiliation: University of Crete Date: March 06, 2023 Ever since Furstenberg proved his multiple recurrence theorem, the limiting behaviour of multiple ergodic averages along various se
From playlist Mathematics
Lecture 12: Topological periodic homology
In this video, we introduce another refinement of THH, the topological periodic homology TP. We see how it is an analogue of HP, how it is related to negative cyclic homology, and how to compute it for the field F_p. Feel free to post comments and questions at our public forum at https:/
From playlist Topological Cyclic Homology
What is subscript notation and how does it relate to functions
👉 Learn about sequences. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. There are many types of sequence, among which are: arithmetic and geometric sequence. An arithmetic sequence is a sequence in which
From playlist Sequences