The Outercoarseness of the n-cube

Alex Fink, Richard K Guy

Abstract


Guy and Nowakowski showed that the outercoarsenessof the n-cube was, for sufficiently large n, at least 0.96 of its maximum possible value, $n\cdot2^{n\!-\!4}$. Here we give some exact results, including that the maximum is attained for all $n\geq24$.

Keywords


outerplanarity, packing, outercoarseness, $n$-cube

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References


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PID: http://hdl.handle.net/10515/sy5sj1b82

Contributions to Discrete Mathematics. ISSN: 1715-0868