DMGT

ISSN 1234-3099 (print version)

ISSN 2083-5892 (electronic version)

IMPACT FACTOR 2019: 0.755

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Discussiones Mathematicae Graph Theory

A TANDEM VERSION OF THE COPS AND ROBBER GAME PLAYED ON PRODUCTS OF GRAPHS

 Nancy E. Clarke Acadia University Wolfville, Nova Scotia Richard J. Nowakowski Dalhousie University Halifax, Nova Scotia

Abstract

In this version of the Cops and Robber game, the cops move in tandems, or pairs, such that they are at distance at most one from each other after every move. The problem is to determine, for a given graph G, the minimum number of tandems sufficient to guarantee a win for the cops. We investigate this game on three graph products, the Cartesian, categorical and strong products.

Keywords: game, cop, tandem-win, pursuit, graph, product.

2000 Mathematics Subject Classification: 05C75, 05C99, 91A43.

References

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Recieved 12 May 2003
Revised 22 February 2005