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arXiv · 0802.3512

Maximum vertex occupation time and inert fugitive: recontamination does help

Dariusz Dereniowski
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Abstract

Given a simple graph $G$, we consider the node search problem with inert fugitive. We are interested in minimizing the maximum vertex occupation time, i.e. the maximum number of steps in which a vertex is occupied by a searcher during a search of $G$. We prove that a search program which does not allow a recontamination may not find an optimal solution to this problem, and the difference between the maximum vertex occupation time computed by a monotone search program and a program without such restriction may be arbitrarily large.

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Dariusz Dereniowski. 2009-06-06. Maximum vertex occupation time and inert fugitive: recontamination does help. https://doi.org/10.1016/j.ipl.2008.12.022

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