On the existence of Hamiltonian paths in the cover graph of M(n)
نویسندگان
چکیده
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+1 2 ) is odd and n 6= 5.
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ورودعنوان ژورنال:
- Discrete Mathematics
دوره 262 شماره
صفحات -
تاریخ انتشار 2003