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2015 | OriginalPaper | Chapter

Shannon Switching Game and Directed Variants

Authors : A. P. Cláudio, S. Fonseca, L. Sequeira, I. P. Silva

Published in: Dynamics, Games and Science

Publisher: Springer International Publishing

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Abstract

Shannon’s switching game is a combinatorial game invented by C. Shannon circa 1955 as a simple model for breakdown repair of the connectivity of a network. The game was completely solved by A. Lehman, shortly after, in what is considered the first application of matroid theory. In the middle 1980s Y. O. Hamidoune and M. Las Vergnas introduced and solved directed versions of the game for graphs considering their generalization to oriented matroids. We do a brief review of the main results and conjectures of the directed case.

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Metadata
Title
Shannon Switching Game and Directed Variants
Authors
A. P. Cláudio
S. Fonseca
L. Sequeira
I. P. Silva
Copyright Year
2015
Book
Dynamics, Games and Science

Print ISBN: 978-3-319-16117-4

Electronic ISBN: 978-3-319-16118-1

Copyright Year: 2015

DOI
https://doi.org/10.1007/978-3-319-16118-1_10

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