Combinatorics and Graph Theory

    

Bivariate Generating Functions for Non-attacking Wazirs on Rectangular Boards

Authors: Richard J. Mathar

A wazir is a fairy chess piece that attacks the 4 neighbors to the North, East, South and West of the chess board. This work constructs the bivariate generating functions for the number of placing w mutually non-attacking wazirs on rectangular boards of shape r X c at fixed c. The equinumerous setup counts binary {0,1}-arrays of dimension r X c which have w 1's with mutual L1 (Manhattan) distances > 1.

Comments: 15 Pages.

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Submission history

[v1] 2024-04-25 17:40:35

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