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92
Voted
COMBINATORICS
2002
14 years 9 months ago
2002
The directed anti-Oberwolfach problem asks for a 2-factorization (each factor has in-degree 1 and out-degree 1 for a total degree of two) of K2n+1, not with consistent cycle compo...
76
Voted
COMBINATORICS
1998
14 years 9 months ago
1998
Let α and β be a partition of {1, . . . , n} into two blocks. A merging network is a network of comparators which allows as input arbitrary real numbers and has the property tha...
COMBINATORICS
1998
14 years 9 months ago
1998
Let F(n) be a family of partitions of n and let F(n d) denote the set of partitions in F(n) with Durfee square of size d. We de ne the Durfee polynomial of F(n) to be the polynomi...
COMBINATORICS
1998
14 years 9 months ago
1998
: Following Frankl and F¨uredi [1] we say a family, F, of subsets of an n-set is weakly union-free if F does not contain four distinct sets A, B, C, D with A ∪ B = C ∪ D. If i...
COMBINATORICS
1998
14 years 9 months ago
1998
A circulant graph G of order n is a Cayley graph over the cyclic group Zn. Equivalently, G is circulant iff its vertices can be ordered such that the corresponding adjacency matr...