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arXiv · 0905.4517

Omnibus Sequences, Coupon Collection, and Missing Word Counts

Sunil Abraham·Greg Brockman·Stephanie Sapp·Anant P. Godbole
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Abstract

An {\it Omnibus Sequence} of length $n$ is one that has each possible "message" of length $k$ embedded in it as a subsequence. We study various properties of Omnibus Sequences in this paper, making connections, whenever possible, to the classical coupon collector problem.

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Sunil Abraham, Greg Brockman, Stephanie Sapp, Anant P. Godbole. 2009-05-27. Omnibus Sequences, Coupon Collection, and Missing Word Counts. https://doi.org/10.1007/s11009-011-9247-6

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