THE CLASSIFICATION OF CUBIC ROOK POLYNOMIALS FOR AN GENERALIZED BOARD

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Published: 2016-06-24

Page: 276-289


R. SANGEETHA *

Department of Mathematics, Avinashilingam University, Coimbatore, India.

S. DEEPIKA

Department of Mathematics, Avinashilingam University, Coimbatore, India.

M. UMA

Department of Mathematics, Avinashilingam University, Coimbatore, India.

*Author to whom correspondence should be addressed.


Abstract

The rook polynomial of a board counts the number of ways of placing non attacking rooks on the board .In this paper; we classify all possible cubic polynomials that are the rook polynomial for some generalized board B under certain conditions. Here we prove theorems regarding rook equivalency which allow us to minimize the number and type of boards that we need to work with for enumerating all possible cubic rook polynomials.

Keywords: Rook numbers, generalized board, rook polynomial


How to Cite

SANGEETHA, R., DEEPIKA, S., & UMA, M. (2016). THE CLASSIFICATION OF CUBIC ROOK POLYNOMIALS FOR AN GENERALIZED BOARD. Asian Journal of Mathematics and Computer Research, 12(4), 276–289. Retrieved from https://ikprress.org/index.php/AJOMCOR/article/view/653

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