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2021 | OriginalPaper | Chapter

7. Shortest Paths

Author : K. Erciyes

Published in: Algebraic Graph Algorithms

Publisher: Springer International Publishing

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Abstract

Finding the shortest shortest path between two vertices in a weighted graph has many applications. A fundamental implementation involves sending packets over shortest routes, therefore, in shortest possible time between two routers in a computer network. This so-called routing problem is commonly solved by converting a graph routing algorithm to a distributed one in the form of a network protocol to be executed by each router. We look at basic graph algorithms to find shortest paths in a weighted graph in this chapter.

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Literature
1.
go back to reference K. Erciyes, Guide to Graph Algorithms: Sequential, Parallel and Distributed (Springer, 2018) K. Erciyes, Guide to Graph Algorithms: Sequential, Parallel and Distributed (Springer, 2018)
2.
go back to reference J. Kepner, J. Gilbert, Graph Algorithms in the Language of Linear Algebra (2014) J. Kepner, J. Gilbert, Graph Algorithms in the Language of Linear Algebra (2014)
3.
go back to reference K. Erciyes, Distributed Graph Algorithms for Computer Networks. Springer Computer Communications and Networks Series (2013) K. Erciyes, Distributed Graph Algorithms for Computer Networks. Springer Computer Communications and Networks Series (2013)
4.
go back to reference D. Peleg, Distributed Computing: A Locality-Sensitive Approach (Monographs on Discrete Mathematics and Applications). Society for Industrial and Applied Mathematics (1987) D. Peleg, Distributed Computing: A Locality-Sensitive Approach (Monographs on Discrete Mathematics and Applications). Society for Industrial and Applied Mathematics (1987)
Metadata
Title
Shortest Paths
Author
K. Erciyes
Copyright Year
2021
DOI
https://doi.org/10.1007/978-3-030-87886-3_7

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