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ZENODO
Preprint . 2025
License: CC BY
Data sources: ZENODO
ZENODO
Preprint . 2025
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2025
License: CC BY
Data sources: Datacite
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A New Lower Bound for Snake-in-the-Box in a 10-Dimensional Hypercube

Authors: Ace, Thomas;

A New Lower Bound for Snake-in-the-Box in a 10-Dimensional Hypercube

Abstract

The Snake-in-the-Box problem is the challenge of finding the longest possible induced path in the edge graph of an n-dimensional hypercube. Although the problem is unsolved in hypercubes of dimension 9 and above, research continues to refine lower and upper bounds on maximum possible path length. This paper demonstrates a new lower bound of 373 in the 10-dimensional case and describes the heuristics used in its discovery.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average