منابع مشابه
Cops and Robber with Constraints
Cops & Robber is a classical pursuit-evasion game on undirected graphs, where the task is to identify the minimum number of cops sufficient to catch the robber. In this paper, we investigate the changes in problem’s complexity and combinatorial properties with constraining the following natural game parameters • Fuel : The number of steps each cop can make; • Cost : The total sum of steps along...
متن کاملCops, Robber, and Alarms
The two games considered are mixtures of Searching and Cops and Robber. The cops have partial information, provided first via selected vertices of a graph, and then via selected edges. This partial information includes the robber's position, but not the direction in which he is moving. The robber has perfect information. In both cases, we give bounds on the amount of such information required b...
متن کاملCops, Robber and Medianwidth Parameters
In previous work, we introduced median decompositions of graphs, a generalisation of tree decompositions where a graph can be modelled after any median graph, along with a hierarchy of i-medianwidth parameters (mwi)i≥1 starting from treewidth and converging to the clique number. We introduce another graph parameter based on the concept of median decompositions, to be called i-latticewidth and d...
متن کاملCops and robber on grids and tori
This paper is a contribution to the classical cops and robber problem on a graph, directed to two-dimensional grids and toroidal grids. These studies are generally aimed at determining the minimum number of cops needed to capture the robber and proposing algorithms for the capture. We apply some new concepts to propose a new solution to the problem on grids that was already solved under a diffe...
متن کاملNetwork Reconfiguration using Cops-and-Robber Games
The process number is the number of requests that have to be simultaneously disturbed during a routing reconfiguration phase of a connection oriented network. From a graph theory point of view, it is similar to the pathwidth. However they are not always equal in general graphs. Determining these parameters is in general NP-complete. In this paper, we propose a polynomial algorithm to compute an...
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ژورنال
عنوان ژورنال: SIAM Journal on Discrete Mathematics
سال: 2012
ISSN: 0895-4801,1095-7146
DOI: 10.1137/110837759