Simple DFS on the complement of a graph and on partially complemented digraphs

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Simple DFS on the Complement of a Graph and on Partially Complemented Digraphs

A complementation operation on a vertex of a digraph changes all outgoing arcs into non-arcs, and outgoing non-arcs into arcs. A partially complemented digraph G̃ is a digraph obtained from a sequence of vertex complement operations on G. Dahlhaus et al. showed that, given an adjacency-list representation of G̃, depth-first search (DFS) on G can be performed in O(n+ m̃) time, where n is the number...

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Partially Complemented Representations of Digraphs

A complementation operation on a vertex of a digraph changes all outgoing arcs into non-arcs, and outgoing non-arcs into arcs. This defines an equivalence relation where two digraphs are equivalent if one can be obtained from the other by a sequence of such operations. We show that given an adjacency-list representation of a digraph G, many fundamental graph algorithms can be carried out on any...

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ژورنال

عنوان ژورنال: Information Processing Letters

سال: 2017

ISSN: 0020-0190

DOI: 10.1016/j.ipl.2016.08.006