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Constructing longer snakes and improved asymptotic bounds in hypercubes

Taylor, Tom
arXiv (All) · Papers
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combinatoricsdiscrete-mathematics
We give snakes that are longer than the previous best known in dimensions 13 through 20 and improve the general lower bound for every dimension $d \geq 21$. Our explicit snakes reach 371,711 edges in dimension 20. Twenty compatible paths in that cube allow generalisation to give snakes of length at
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