An Algorithm to Enumerate Grid Signed Permutation Classes
Combinatorics
2023-06-02 v2 Discrete Mathematics
Abstract
In this paper, we present an algorithm that enumerates a certain class of signed permutations, referred to as grid signed permutation classes. In the case of permutations, the corresponding grid classes are of interest because they are equivalent to the permutation classes that can be enumerated by polynomials. Furthermore, we apply our results to genome rearrangements and establish that the number of signed permutations with fixed prefix reversal and reversal distance is given by polynomials that can be computed by our algorithm.
Cite
@article{arxiv.2302.03929,
title = {An Algorithm to Enumerate Grid Signed Permutation Classes},
author = {Saúl A. Blanco and Daniel E. Skora},
journal= {arXiv preprint arXiv:2302.03929},
year = {2023}
}
Comments
Corrected typos and extended some explanations. Final version included in the Proceedings of The International Symposium on Symbolic and Algebraic Computation, ISSAC 2023