COMBINATORICS
2004
13 years 4 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 4 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 4 months ago
2004
COMBINATORICS
2004
13 years 4 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 4 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 4 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 4 months ago
2004
COMBINATORICS
2004
13 years 4 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 4 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 4 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...