Graph products | Graph distance

Min-plus matrix multiplication

Min-plus matrix multiplication, also known as distance product, is an operation on matrices. Given two matrices and , their distance product is defined as an matrix such that . This is standard matrix multiplication for the semi-ring of tropical numbers in the min convention. This operation is closely related to the shortest path problem. If is an matrix containing the edge weights of a graph, then gives the distances between vertices using paths of length at most edges, and is the distance matrix of the graph. (Wikipedia).

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From playlist Basics: Matrices

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This video explains how to multiply matrices. http://mathispower4u.yolasite.com/ http://mathispower4u.wordpress.com/

From playlist Matrices

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From playlist MIT 6.046J / 18.410J Introduction to Algorithms (SMA 5503),

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From playlist Introduction to Matrices and Matrix Operations

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

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From playlist MIT 6.262 Discrete Stochastic Processes, Spring 2011

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From playlist Popular Questions

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From playlist LINEAR ALGEBRA 1: BASIC CONCEPTS

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From playlist Introduction to Matrices and Matrix Operations

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From playlist Workshop on Mean Curvature and Regularity

Related pages

Tropical geometry | Floyd–Warshall algorithm | Graph (discrete mathematics) | Distance matrix | Matrix (mathematics) | Shortest path problem