@article{savage_shields_west_2003, title={On the existence of Hamiltonian paths in the cover graph of M(n)}, volume={262}, ISSN={["0012-365X"]}, DOI={10.1016/S0012-365X(02)00503-4}, abstractNote={The poset M(n) has as its elements the n-tuples of integers a=(a1,a2,…,an) satisfying 0=a1=⋯=aj<aj+1<⋯<an⩽n for some j,0⩽j⩽n. The order relation is defined by a⩽b iff ai⩽bi for 1⩽i⩽n. We show that the cover graph of M(n) has a Hamiltonian path if and only if (n+12) is odd and n≠5.}, number={1-3}, journal={DISCRETE MATHEMATICS}, author={Savage, CD and Shields, I and West, DB}, year={2003}, month={Feb}, pages={241–252} }