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DM
2006
15 years 25 days ago
2006
We study generating functions for the number of even (odd) permutations on n letters avoiding 132 and an arbitrary permutation on k letters, or containing exactly once. In sever...
DM
2006
15 years 25 days ago
2006
The pair length of a graph G is the maximum positive integer k, such that the vertex set of G can be partitioned into disjoint pairs {x, x }, such that d(x, x ) k for every x V (...
88
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DM
2006
15 years 25 days ago
2006
Let n be a positive integer. A tournament is called n-existentially closed (or n-e.c.) if for every subset S of n vertices and for every subset T of S, there is a vertex x / S whi...
101
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DM
2006
15 years 25 days ago
2006
In 1983, Patterson and Wiedemann constructed Boolean functions on n = 15 input variables having nonlinearity strictly greater than 2n-1 -2 n-1 2 . Construction of Boolean function...
100
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DM
2006
15 years 25 days ago
2006
The method of partitionable sets for constructing large sets of t-designs have now been used for nearly a decade. The method has resulted in some powerful recursive constructions ...