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- W2952051218 abstract "We consider the question of when the $n$-dimensional hypercube can be decomposed into paths of length $k$. Mollard and Ramras cite{MR2013} noted that for odd $n$ it is necessary that $k$ divides $n2^{n-1}$ and that $kleq n$. Later, Anick and Ramras cite{AR2013} showed that these two conditions are also sufficient for odd $n leq 2^{32}$ and conjectured that this was true for all odd $n$. In this note we prove the conjecture." @default.
- W2952051218 created "2019-06-27" @default.
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- W2952051218 date "2013-10-24" @default.
- W2952051218 modified "2023-09-27" @default.
- W2952051218 title "Decomposing the cube into paths" @default.
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