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JCT
1998
14 years 9 months ago
1998
Given a tournament score sequence s1 ≥ s2 ≥ · · · ≥ sn, we prove that there exists a tournament T on vertex set {1, 2, . . . , n} such that the degree of any vertex i is ...
JCT
1998
14 years 9 months ago
1998
If t is a positive integer, then a partition of a non-negative integer n is a t−core if none of the hook numbers of the associated Ferrers-Young diagram is a multiple of t. These...
JCT
2010
14 years 8 months ago
2010
An Avoider-Enforcer game is played by two players, called Avoider and Enforcer, on a hypergraph F ⊆ 2X . The players claim previously unoccupied elements of the board X in turns...
JCT
2010
14 years 8 months ago
2010
In a recent paper we have presented a method to evaluate certain Hankel determinants as almost products; i.e. as a sum of a small number of products. The technique to find the ex...
JCT
2010
14 years 8 months ago
2010
In the symmetric group on a set of size 2n, let P2n denote the conjugacy class of involutions with no fixed points (equivalently, we refer to these as “pairings”, since each ...