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k queens, n×n, N_p(k,n). 2, 4, 3. 3, 5, 3, 6, 1. 4, 7, 5. 5, 8, Kraitchik, M. "The Problem of the Queens" and "Domination of the Chessboard." § and.

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Description:
The vertices of the queem;' graph {~, are the squares of an n × n chessboard and two squares are adjacent ifa queen placed on one covers the other. It is shown.

We consider the domination number of the queens graph Qn and show that if, with cardinality 2k + 1, then for any n large enough, (Qn)6 [(3k + 5)=(6k + 3)]n +.

Views: 77827 Date: 20.08.2019 Favorited:59
Category: Domination

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