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COMBINATORICS
2004
13 years 9 months ago
2004
Bisztriczky introduced the multiplex as a generalization of the simplex. A polytope is multiplicial if all its faces are multiplexes. In this paper it is proved that the flag vect...
COMBINATORICS
2004
13 years 9 months ago
2004
This paper deals with evaluating constant terms of a special class of rational functions, the Elliott-rational functions. The constant term of such a function can be read off immed...
COMBINATORICS
2004
13 years 9 months ago
2004
Characteristic polynomials of random unitary matrices have been intensively studied in recent years: by number theorists in connection with Riemann zetafunction, and by theoretica...
COMBINATORICS
2004
13 years 9 months ago
2004
A word is abelian square-free if it does not contain two adjacent subwords which are permutations of each other. Over an alphabet k on k letters, an abelian squarefree word is max...
COMBINATORICS
2004
13 years 9 months ago
2004
Abstract. We use the theory of hyperplane arrangements to construct natural bases for the homology of partition lattices of types A, B and D. This extends and explains the "sp...