@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 =(a 1 ,a 2 ,…,a n ) satisfying 0= a 1 =⋯= a j < a j +1 <⋯< a n ⩽ n for some j, 0⩽j⩽n . The order relation is defined by a ⩽ b iff a i ⩽ b i for 1⩽ i ⩽ n . We show that the cover graph of M ( n ) has a Hamiltonian path if and only if ( n+1 2 ) 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} }