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arxiv: math/0608140 · v1 · submitted 2006-08-05 · 🧮 math.OC · math.CO

k-Dependence and Domination in Kings Graphs

classification 🧮 math.OC math.CO
keywords dominationgraphsbestboundscasesconjecturesdependencedimension
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We study k-dependence and half domination problems for king's graphs in dimension n (n>1). Various sharp bounds are provided and a few conjectures are formulated in the cases the estimates are not the best possible.

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