Authors : Anwar Nsaif Jasim
Abstract: The chessboard 8×8 is consists 64 squares. It was converted into a graph G = (V, E) with 64 vertices which any two vertices are adjacent by edge. The problem of dominating of the chessboard located within the subjects related to the entertainment mathematics or the puzzles in mathematics. The problem of dominating of the chessboard is to place a certain number of pieces on the chessboard. Let u, vεV, u is the location of the piece and v is the location to move it, the movement of the piece of chessboard from u to v is the distance between u and v, i.e., d(u, v) = 1. In this study, we applied the domination concept and total domination concept in chessboard pieces (Rook , Bishop, King, Knight and queen). We found graphs for each piece.
Anwar Nsaif Jasim , 2019. On Total Domination Concept in Chessboard. Journal of Engineering and Applied Sciences, 14: 6758-6763.