Abstract
ABSTRACTAn absorbant of a digraph D is a set such that, for every , there exists an arc with . An absorbant S is efficient if no two vertices in S have a common in-neighbour and the subdigraph induced by S has no arc. The efficient absorbant conjecture in generalized De Bruijn digraphs is as follows: There exists an efficient absorbant in generalized De Bruijn digraph with if and only if c is a multiple of . In this paper, we show that the sufficient condition of the efficient absorbant conjecture in generalized De Bruijn digraphs is affirmative.
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