The domination number of Cartesian product of two directed paths

Michel Mollard ()
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Michel Mollard: Institut Fourier

Journal of Combinatorial Optimization, 2014, vol. 27, issue 1, No 12, 144-151

Abstract: Abstract Let γ(P m □P n ) be the domination number of the Cartesian product of directed paths P m and P n for m,n≥2. Liu et al. in (J. Comb. Optim. 22(4):651–662, 2011) determined the value of γ(P m □P n ) for arbitrary n and m≤6. In this work we give the exact value of γ(P m □P n ) for any m,n and exhibit dominating sets of minimum cardinality.

Keywords: Directed graph; Digraph; Cartesian product; Domination number; Paths (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1007/s10878-012-9494-7

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