The game of cops and robbers is played with a set of 'cops' and a 'robber' who occupy some vertices of a graph. Both sides have perfect information and they move alternately to adjacent vertices. The robber is captured if at least one of the cops occupies the same vertex as the robber. The problem i
A game of cops and robbers
โ Scribed by M. Aigner; M. Fromme
- Publisher
- Elsevier Science
- Year
- 1984
- Tongue
- English
- Weight
- 632 KB
- Volume
- 8
- Category
- Article
- ISSN
- 0166-218X
No coin nor oath required. For personal study only.
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## Abstract We consider several variants of the classical Cops and Robbers game. We treat the version where the robber can move __R__โฅ1 edges at a time, establishing a general upper bound of , where ฮฑ = 1 + 1/__R__, thus generalizing the best known upper bound for the classical case __R__ = 1 due t
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