The domination number of Cartesian product of two directed paths

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The domination number of Cartesian product of two directed paths

4 Let γ(Pm2Pn) be the domination number of the Cartesian product of directed paths Pm and Pn for m,n ≥ 2. In [13] Liu and al. determined the value of γ(Pm2Pn) 6 for arbitrary n and m ≤ 6. In this work we give the exact value of γ(Pm2Pn) for any m,n and exhibit minimum dominating sets. 8 AMS Classification[2010]:05C69,05C38. 10

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ژورنال

عنوان ژورنال: Journal of Combinatorial Optimization

سال: 2012

ISSN: 1382-6905,1573-2886

DOI: 10.1007/s10878-012-9494-7