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Abstract
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=(V,A) of D such that (a) S is a subset of V, (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. Since a directed walk is a not necessarily a simple directed path, the problem is actually on covering with paths. We provide several results on the polynomial time tractability, hardness, and parameterized complexity of the problem. Our main fixed-parameter algorithm is randomized.
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Authors (5)
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Andrzej Lingas
- Lund University Department of Computer Science
-
Mia Persson
- Malmo University Department of Computer Science
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Paweł Żyliński
- University of Gdańsk Institute of Informatics
Cite as
Full text
- Publication version
- Accepted or Published Version
- DOI:
- Digital Object Identifier (open in new tab) 10.1016/j.jcss.2018.11.002
- License
- Copyright (2018 Elsevier Inc)
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Details
- Category:
- Articles
- Type:
- artykuł w czasopiśmie wyróżnionym w JCR
- Published in:
-
JOURNAL OF COMPUTER AND SYSTEM SCIENCES
no. 102,
pages 57 - 68,
ISSN: 0022-0000 - Language:
- English
- Publication year:
- 2019
- Bibliographic description:
- Dereniowski D., Lingas A., Osula D., Persson M., Żyliński P.: Clearing directed subgraphs by mobile agents// JOURNAL OF COMPUTER AND SYSTEM SCIENCES. -Vol. 102, (2019), s.57-68
- DOI:
- Digital Object Identifier (open in new tab) 10.1016/j.jcss.2018.11.002
- Verified by:
- Gdańsk University of Technology
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