Efficient closed domination in digraph products

Iztok Peterin () and Ismael G. Yero ()
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Iztok Peterin: University of Maribor
Ismael G. Yero: Universidad de Cádiz

Journal of Combinatorial Optimization, 2019, vol. 38, issue 1, No 7, 130-149

Abstract: Abstract A digraph D is an efficient closed domination digraph if there exists a subset S of V(D) for which the closed out-neighborhoods centered in vertices of S form a partition of V(D). In this work we deal with efficient closed domination digraphs among several product of digraphs. We completely describe the efficient closed domination digraphs among lexicographic and strong products of digraphs. We characterize those direct products of digraphs that are efficient closed domination digraphs, where factors are either two cycles or two paths. Among Cartesian product of digraphs, we describe all such efficient closed domination digraphs such that they are a Cartesian product digraph either with a cycle or with a star.

Keywords: Efficient closed domination; Digraphs; Products of digraphs; 05C69; 05C76 (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s10878-018-0370-y

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