2000 character limit reached
An Algorithm to Enumerate Grid Signed Permutation Classes (2302.03929v2)
Published 8 Feb 2023 in math.CO and cs.DM
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.