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http://dx.doi.org/10.1016/j.laa.2012.03.009

has been cited by the following article:

• TITLE: The Independence-Separation Problem on the 3-D Rook’s Graph

  AUTHORS: Paul A. Burchett

  KEYWORDS: Chess, Independence-Separation Number, Independence Number, p-Dimensional Grid-Line Graphs, p-Dimensional Rook’s Graph

  JOURNAL NAME: Open Journal of Discrete Mathematics, Vol.6 No.3, July 14, 2016

  ABSTRACT: Both independence and independence-separation problems on chessboard graphs have been studied in detail, with hundreds of papers in the broader independence category, and several on the independence-separation problem variant for chessboard graphs. In this paper, the inde-pendence-separation problem is considered on the d-dimensional rook’s graph. A lower bound of k, for , is found for the independence-separation number on the d-dimensional rook’s graph, denoted by . For the case where ,it is found that when n is odd and , . Conjecture and discussion are added.