4 search results - page 1 / 1 » A Note on the Number of Hamiltonian Paths in Strong Tourname... |
COMBINATORICS
2006
13 years 5 months ago
2006
We prove that the minimum number of distinct hamiltonian paths in a strong tournament of order n is 5 n-1 3 . A known construction shows this number is best possible when n 1 mod...
COCOON
2003
Springer
13 years 10 months ago
2003
Springer
We investigate hamiltonian properties of Pm × Cn, m ≥ 2 and even n ≥ 4, which is bipartite, in the presence of faulty vertices and/or edges. We show that Pm×Cn with n even is...
ARSCOM
1998
13 years 4 months ago
1998
Some results relating to the road-coloring conjecture of Alder, Goodwyn, and Weiss, which give rise to an O(n2) algorithm to determine whether or not a given edge-coloring of a gra...
FOCS
2009
IEEE
13 years 11 months ago
2009
IEEE
— In a landmark paper [32], Papadimitriou introduced a number of syntactic subclasses of TFNP based on proof styles that (unlike TFNP) admit complete problems. A recent series of...