35 research outputs found
Decomposing the cube into paths
We consider the question of when the -dimensional hypercube can be
decomposed into paths of length . Mollard and Ramras \cite{MR2013} noted
that for odd it is necessary that divides and that . Later, Anick and Ramras \cite{AR2013} showed that these two conditions are
also sufficient for odd and conjectured that this was true for
all odd . In this note we prove the conjecture.Comment: 7 pages, 2 figure