$k$-Dependence and Domination in Kings Graphs

Details $k$-Dependence and Domination in Kings Graphs $k$-Dependence and Domination in Kings Graphs

2006-08-05

arxiv.org/abs/math/0608140v1

Mathematics

Optimization and Control

22 pages, 3 figures, submitted in June of 2006

Scientific paper

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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