Graph invariants | Combinatorial optimization | Graph algorithms | NP-hard problems

Graph bandwidth

In graph theory, the graph bandwidth problem is to label the n vertices vi of a graph G with distinct integers so that the quantity is minimized (E is the edge set of G).The problem may be visualized as placing the vertices of a graph at distinct integer points along the x-axis so that the length of the longest edge is minimized. Such placement is called linear graph arrangement, linear graph layout or linear graph placement. The weighted graph bandwidth problem is a generalization wherein the edges are assigned weights wij and the cost function to be minimized is . In terms of matrices, the (unweighted) graph bandwidth is the minimal bandwidth of a symmetric matrix which is an adjacency matrix of the graph.The bandwidth may also be defined as one less than the maximum clique size in a proper interval supergraph of the given graph, chosen to minimize its clique size. (Wikipedia).

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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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What is a Graph? | Graph Theory

What is a graph? A graph theory graph, in particular, is the subject of discussion today. In graph theory, a graph is an ordered pair consisting of a vertex set, then an edge set. Graphs are often represented as diagrams, with dots representing vertices, and lines representing edges. Each

From playlist Graph Theory

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Introduction to Graph Theory

This lesson introduces graph theory and defines the basic vocabulary used in graph theory. Site: http://mathispower4u.com

From playlist Graph Theory

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Overview of algorithms in Graph Theory

An overview of the computer science algorithms in Graph Theory Support me by purchasing the full graph theory course on Udemy which includes additional problems, exercises and quizzes not available on YouTube: https://www.udemy.com/course/graph-theory-algorithms Previous video (intro): h

From playlist Graph Theory Playlist

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Graphs are Metric Spaces | Graph Theory

We show that the vertex set of a graph, along with the standard vertex distance function, make a metric space by showing the distance between two vertices u and v satisfy the four necessary properties of a metric, including a proof of the triangle inequality property for the distance s bet

From playlist Graph Theory

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Graph Theory FAQs: 01. More General Graph Definition

In video 02: Definition of a Graph, we defined a (simple) graph as a set of vertices together with a set of edges where the edges are 2-subsets of the vertex set. Notice that this definition does not allow for multiple edges or loops. In general on this channel, we have been discussing o

From playlist Graph Theory FAQs

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Graph Theory: 02. Definition of a Graph

In this video we formally define what a graph is in Graph Theory and explain the concept with an example. In this introductory video, no previous knowledge of Graph Theory will be assumed. --An introduction to Graph Theory by Dr. Sarada Herke. This video is a remake of the "02. Definitio

From playlist Graph Theory part-1

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Graph Neural Networks, Session 2: Graph Definition

Types of Graphs Common data structures for storing graphs

From playlist Graph Neural Networks (Hands-on)

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Knapsack, Bandwidth Min. Intro: Greedy Algorithms - Lecture 14

All rights reserved for http://www.aduni.org/ Published under the Creative Commons Attribution-ShareAlike license http://creativecommons.org/licenses/by-sa/2.0/ Tutorials by Instructor: Shai Simonson. http://www.stonehill.edu/compsci/shai.htm Visit the forum at: http://www.coderisland.c

From playlist ArsDigita Algorithms by Shai Simonson

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Proof that Telstra Bigpond is Throttling Youtube Bandwidth in Australia?

Are Telstra (Bigpond), Australia's largest Internet Service Provider deliberately throttling (capping) Youtube bandwidth on all of their plans? (even the best Bigpond Cable Elite plan) UPDATE: The day after I posted this video Telstra contacted me and finally admitted the problem was syst

From playlist Off-Topic Rants

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Adlai E Stevenson High School (Team #14486) Presentation

Adlai E Stevenson High School from Lincolnshire, Illinois was a Finalist in MathWorks Math Modeling Challenge 2021! On April 26, 2021, finalist teams presented their solution papers via Zoom to a panel of judges. Learn more about the 2021 Challenge problem topic and the winners: https://m3

From playlist M3 Challenge

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Lecture 19 - Examples of Dynamic Programming

This is Lecture 19 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/lecture12.pdf

From playlist CSE373 - Analysis of Algorithms - 1997 SBU

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GRCon20 - Designing a Narrowband Radar using GNU Radio and Software Defined Radio for Tomography....

Designing a Narrowband Radar using GNU Radio and Software Defined Radio for Tomography and Indoor Sensing Presented by Victor Cai at GNU Radio Conference 2020 https://gnuradio.org/grcon20 This project achieved both high accuracy and low cost in a narrowband radar design by combining the

From playlist GRCon 2020

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RC Band Pass Filters - How To Design The Circuit

This electronics video tutorial provides a basic introduction into RC band pass filters. It explains how to calculate the two cut-off frequencies, the resonant frequency, and the bandwidth. It also explains how to design the circuit by calculating the capacitance values need to construct

From playlist Electronic Circuits

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Stanford Seminar: HPC Opportunities in Deep Learning - Greg Diamos, Baidu

EE380: Computer Systems Colloquium HPC Opportunities in Deep Learning Speaker: Greg Diamos, Baidu Just this year, deep learning has fueled significant progress in computer vision, speech recognition, and natural language processing. We have seen a computer beat the world champion in Go

From playlist Stanford EE380-Colloquium on Computer Systems - Seminar Series

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Lecture 14 - Shortest Path

This is Lecture 14 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/lecture18.pdf

From playlist CSE373 - Analysis of Algorithms - 1997 SBU

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Lec 13 | MIT 18.086 Mathematical Methods for Engineers II

Elimination with Reordering: Sparse Matrices View the complete course at: http://ocw.mit.edu/18-086S06 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

From playlist MIT 18.086 Mathematical Methods for Engineers II, Spring '06

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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

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Loss function | Graph (discrete mathematics) | Planar graph | Hypercube graph | Hardness of approximation | Tree-depth | Standard cell | Tree (graph theory) | Path graph | Cartesian product of graphs | Graph theory | Adjacency matrix | Complete bipartite graph | Cuthill–McKee algorithm | Integer | Vertex (graph theory) | Sparse matrix | Symmetric matrix | Pathwidth | Approximation algorithm | Band matrix | Chromatic number | Quadratic bottleneck assignment problem | Diameter (graph theory) | Lattice graph | Caterpillar tree