The Snow Team Problem - (Clearing Directed Subgraphs by Mobile Agents)

نویسندگان

  • Dariusz Dereniowski
  • Andrzej Lingas
  • Mia Persson
  • Dorota Urbanska
  • Pawel Zylinski
چکیده

We study several problems of clearing subgraphs by mobile agents in digraphs. The agents can move only along directed walks of a digraph and, depending on the variant, their initial positions may be pre-specified. In general, for a given subset S of vertices of a digraph D and a positive integer k, the objective is to determine whether there is a subgraph H = (VH ,AH) of D such that (a) S ⊆ VH , (b) H is the union of k directed walks in D, and (c) the underlying graph of H includes a Steiner tree for S in D. We provide several results on the polynomial time tractability, hardness, and parameterized complexity of the problem. keywords: graph searching, FPT-algorithm, NP-hardness, monomial

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تاریخ انتشار 2017