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arXiv · 2501.11386

Conjecture on Supersequence Lower Bound related to Connell Sequence

Oliver Tan
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Abstract

This paper proves the minimum size of a supersequence over a set of eight elements is 52. This disproves a conjecture that the lower bound of the supersequence is the partial sum of the geometric Connell sequence. By studying the internal distribution of individual elements within sub-strings of the supersequence called segments, the proof provides important results on the internal structure that could help to understand the general lower bound problem for finite sets.

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Oliver Tan. 2025-01-20. Conjecture on Supersequence Lower Bound related to Connell Sequence. https://arxiv.org/abs/2501.11386

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