On a Speculated Relation Between Chvátal-Sankoff Constants of Several Sequences

Details On a Speculated Relation Between Chvátal-Sankoff Constants of Several Sequences On a Speculated Relation Between Chvátal-Sankoff Constants of Several Sequences

2008-10-06

arxiv.org/abs/0810.1066v1

Mathematics

Combinatorics

13 pages. To appear in Combinatorics, Probability and Computing

Scientific paper

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.

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