MathDB
B.Math - Bishop

Source:

June 17, 2012
combinatoricsChessboardExtremal combinatorics

Problem Statement

Bishops on a chessboard move along the diagonals ( that is , on lines parallel to the two main diagonals ) . Prove that the maximum number of non-attacking bishops on an nnn*n chessboard is 2n22n-2. (Two bishops are said to be attacking if they are on a common diagonal).