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COMBINATORICS
2002
13 years 4 months ago
2002
A striking result of Bouc gives the decomposition of the representation of the symmetric group on the homology of the matching complex into irreducibles that are self-conjugate. We...
COMBINATORICS
2002
13 years 4 months ago
2002
We present a simple heuristic for finding a small connected dominating set of cubic graphs. The average-case performance of this heuristic, which is a randomised greedy algorithm,...
COMBINATORICS
2002
13 years 4 months ago
2002
A sequence u = u1u2...un is said to be nonrepetitive if no two adjacent blocks of u are exactly the same. For instance, the sequence abcbcba contains a repetition bcbc, while abca...
COMBINATORICS
2002
13 years 4 months ago
2002
We present a new expression for the partition function of the dimer arrangements and the Ising partition function of the 3-dimensional cubic lattice. We use the Pfaffian method. T...
COMBINATORICS
2002
13 years 4 months ago
2002
A graph is f-choosable if for every collection of lists with list sizes specified by f there is a proper coloring using colors from the lists. The sum choice number is the minimum...