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arXiv · 1511.00622

On the Number of Many-to-Many Alignments of Multiple Sequences

Steffen Eger
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Abstract

We count the number of alignments of $N \ge 1$ sequences when match-up types are from a specified set $S\subseteq \mathbb{N}^N$. Equivalently, we count the number of nonnegative integer matrices whose rows sum to a given fixed vector and each of whose columns lie in $S$. We provide a new asymptotic formula for the case $S=\{(s_1,\ldots,s_N) \:|\: 1\le s_i\le 2\}$.

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Steffen Eger. 2016-07-24. On the Number of Many-to-Many Alignments of Multiple Sequences. https://arxiv.org/abs/1511.00622

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