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Brushing with additional cleaning restrictions

Abstract

In graph cleaning problems, brushes clean a graph by traversing it subject to certain rules. We consider the process where at each time step, a vertex that has at least as many brushes as incident, contaminated edges, sends brushes down these edges to clean them. Various problems arise, such as determining the minimum number of brushes (called the brush number) that are required to clean the entire graph. Here, we study a new variant of the problem in which no more than k brushes can be sent at any time step.

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DOI:
Digital Object Identifier (open in new tab) 10.1016/j.tcs.2014.09.005
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Copyright (2014 Elsevier B.V.)

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Details

Category:
Articles
Type:
artykuł w czasopiśmie wyróżnionym w JCR
Published in:
THEORETICAL COMPUTER SCIENCE no. 557, pages 76 - 86,
ISSN: 0304-3975
Language:
English
Publication year:
2014
Bibliographic description:
Borowiecki P., Dereniowski D., Prałat p.: Brushing with additional cleaning restrictions// THEORETICAL COMPUTER SCIENCE. -Vol. 557, (2014), s.76-86
DOI:
Digital Object Identifier (open in new tab) 10.1016/j.tcs.2014.09.005
Verified by:
Gdańsk University of Technology

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