On a Speculated Relation Between Chv\'atal-Sankoff Constants of Several Sequences
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 gammasigma,d. We disprove a speculation by Steele regarding a possible relation between gamma2,d and gamma2,2. In order to do that we also obtain new lower bounds for gammasigma,d, when both sigma and d are small integers.
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