COMBINATORICS
2004
13 years 11 months ago
2004
We give a basis for the space spanned by the sum ^s of the lowest degree terms in the expansion of the Schur symmetric functions s in terms of the power sum
COMBINATORICS
2004
13 years 11 months ago
2004
The class of square (0, 1, -1)-matrices whose rows are nonzero and mutually orthogonal is studied. This class generalizes the classes of Hadamard and Weighing matrices. We prove t...
COMBINATORICS
2004
13 years 11 months ago
2004
COMBINATORICS
2004
13 years 11 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...
COMBINATORICS
2004
13 years 11 months ago
2004
Motivated by a question on the zeros of irreducible characters of the symmetric and alternating groups, we classify partitions which are of maximal p-weight for all odd primes p.
COMBINATORICS
2004
13 years 11 months ago
2004
A configuration (pq, nk) is a collection of p points and n straight lines in the Euclidean plane so that every point has q straight lines passing through it and every line has k p...
COMBINATORICS
2004
13 years 11 months ago
2004
COMBINATORICS
2004
13 years 11 months ago
2004
The Sandwich Theorems proved in this paper give a new method to show that the partition function a(n) of a partition identity A(x) := n=0 a(n)xn = n=1 (1 - xn )-p(n) satisfies t...
COMBINATORICS
2004
13 years 11 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 11 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...