Brushing with additional cleaning restrictions

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Brushing with additional cleaning restrictions

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 en...

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In graph cleaning problems, brushes clean a graph by traversing it subject to certain rules. Various problems arise, such as determining the minimum number of brushes that are required to clean the entire graph. This number is called the brushing number. Here, we study a new variant of the brushing problem in which one vertex is cleaned at a time, but more than one brush may traverse a dirty ed...

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ژورنال

عنوان ژورنال: Theoretical Computer Science

سال: 2014

ISSN: 0304-3975

DOI: 10.1016/j.tcs.2014.09.005