On a Speculated Relation Between Chv\'atal-Sankoff Constants of Several Sequences
Combinatorics
2014-12-03 v1 Probability
Abstract
It is well known that, when normalized by n, the expected length of a longest common subsequence of d sequences of length n over an alphabet of size sigma converges to a constant gamma_{sigma,d}. We disprove a speculation by Steele regarding a possible relation between gamma_{2,d} and gamma_{2,2}. In order to do that we also obtain new lower bounds for gamma_{sigma,d}, when both sigma and d are small integers.
Cite
@article{arxiv.0810.1066,
title = {On a Speculated Relation Between Chv\'atal-Sankoff Constants of Several Sequences},
author = {Marcos Kiwi and José Soto},
journal= {arXiv preprint arXiv:0810.1066},
year = {2014}
}
Comments
13 pages. To appear in Combinatorics, Probability and Computing