Application-specific graphs

Sequence graph

Sequence graph, also called an alignment graph, breakpoint graph, or adjacency graph, are bidirected graphs used in comparative genomics. The structure consists of multiple graphs or genomes with a series of edges and vertices represented as adjacencies between segments in a genome and DNA segments respectively. Traversing a connected component of segments and adjacency edges (called a thread) yields a sequence, which typically represents a genome or a section of a genome. The segments can be thought of as synteny blocks, with the edges dictating how to arrange these blocks in a particular genome, and the labelling of the adjacency edges representing bases that are not contained in synteny blocks. (Wikipedia).

Video thumbnail

What is a sequence

πŸ‘‰ 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

Video thumbnail

What is the alternate in sign sequence

πŸ‘‰ 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

Video thumbnail

What is the definition of a geometric sequence

πŸ‘‰ 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

Video thumbnail

What is the formula for the rule for the nth term of a arithmetic sequence

πŸ‘‰ 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

Video thumbnail

What is the recursive formula and how do we use it

πŸ‘‰ 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

Video thumbnail

What is the definition of an arithmetic sequence

πŸ‘‰ 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

Video thumbnail

What are the formulas for arithmetic and geometric sequences

πŸ‘‰ 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

Video thumbnail

What is an arithmetic sequence

πŸ‘‰ 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

Video thumbnail

What is the difference between finite and infinite sequences

πŸ‘‰ 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

Video thumbnail

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

Video thumbnail

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

Video thumbnail

6. Genome Assembly

MIT 7.91J Foundations of Computational and Systems Biology, Spring 2014 View the complete course: http://ocw.mit.edu/7-91JS14 Instructor: David Gifford Prof. Gifford talks about two different ways to assemble a genome de novo. The first approach is overlap layout consensus assemblers, as

From playlist MIT 7.91J Foundations of Computational and Systems Biology

Video thumbnail

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

Video thumbnail

Modeling limits - P. Ossona de Mendez - Workshop 1 - CEB T1 2018

Patrice Ossona de Mendez (EHSS) / 30.01.2018 A sequence of graphs is FO-convergent if the probability of satisfaction of every first-order formula converges. A graph modeling is a graph, whose domain is a standard probability space, with the property that every definable set is Borel. It

From playlist 2018 - T1 - Model Theory, Combinatorics and Valued fields

Video thumbnail

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

Video thumbnail

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

Video thumbnail

14. Graph limits I: introduction

MIT 18.217 Graph Theory and Additive Combinatorics, Fall 2019 Instructor: Yufei Zhao View the complete course: https://ocw.mit.edu/18-217F19 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP62qauV_CpT1zKaGG_Vj5igX Graph limits provide a beautiful analytic framework for s

From playlist MIT 18.217 Graph Theory and Additive Combinatorics, Fall 2019

Video thumbnail

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)

Video thumbnail

Ex 1: Finding Terms in a Sequence Given the Sequence Formula

This video provides two examples of how to find the terms in a sequence given a(n), the sequence formula. One example is arithmetic, and one example is geometric. Site: http://mathispower4u.com Blog: http://mathispower4u.wordpress.com

From playlist Sequences

Video thumbnail

16. Graph limits III: compactness and applications

MIT 18.217 Graph Theory and Additive Combinatorics, Fall 2019 Instructor: Yufei Zhao View the complete course: https://ocw.mit.edu/18-217F19 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP62qauV_CpT1zKaGG_Vj5igX Continuing the discussion of graph limits, Prof. Zhao pro

From playlist MIT 18.217 Graph Theory and Additive Combinatorics, Fall 2019

Related pages

Multiple sequence alignment | Centimorgan