COMBINATORICAL TECHNIQUES FOR ENUMERATION OF BISHOP/ROOK MOVEMENTS: POLYNOMIAL GENERATED ON A CHESS BOARD WITH m x n ARRAYS
by Laisin Mark, Oraekie Paul Anaetodike
Discover combinatorial techniques for enumerating bishop and rook movements on m x n chess board arrays. The book employs polynomial generation to model and analyze these patterns, providing a mathematical framework for understanding piece dynamics in generalized grid structures. Ideal for mathematics and chess aficionados exploring discrete enumeration methods.
About This Book
This work delves into the application of combinatorial methods to analyze movements of bishops and rooks on generalized chess boards structured as m x n arrays.
The authors present techniques for enumeration, focusing on polynomial-based approaches to generate and quantify possible paths and positions.
Suitable for researchers and enthusiasts in discrete mathematics and chess theory, the book provides a structured exploration of these geometric and algebraic patterns.
Through rigorous enumeration, it offers insights into the complexity of piece movements beyond standard 8x8 boards.
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