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arXiv · 0810.1066

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

Marcos Kiwi·José Soto
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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.

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Marcos Kiwi, José Soto. 2008-10-06. On a Speculated Relation Between Chvátal-Sankoff Constants of Several Sequences. https://doi.org/10.1017/s0963548309009900

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