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The number of reachable pairs in a digraph

✍ Scribed by A.R. Rao


Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
191 KB
Volume
15
Category
Article
ISSN
1571-0653

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## Abstract We introduce the circular chromatic number Ο‡~__c__~ of a digraph and establish various basic results. They show that the coloring theory for digraphs is similar to the coloring theory for undirected graphs when independent sets of vertices are replaced by acyclic sets. Since the directe

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## Abstract A vertex set __X__ of a digraph __D__ = (__V, A__) is a __kernel__ if __X__ is independent (i.e., all pairs of distinct vertices of __X__ are non‐adjacent) and for every __v__ ∈ __V__‐__X__ there exists __x__ ∈ __X__ such that __vx__ ∈ __A__. A vertex set __X__ of a digraph __D__ = (__V