COMBINATORICS
1998
13 years 10 months ago
1998
On donnera une formule pour l’op´erateur Hqt 2 avec la propri´et´e que Hqt 2 H(2a1b)[X; q, t] = H(2a+11b)[X; q, t] avec les fonctions sym´etriques Hµ[X; q, t] = λ Kλµ(q,...
COMBINATORICS
1998
13 years 10 months ago
1998
We prove that the minimal length of a word Sn having the property that it contains exactly Fm+2 distinct subwords of length m for 1 ≤ m ≤ n is Fn + Fn+2. Here Fn is the nth Fi...
COMBINATORICS
1998
13 years 10 months ago
1998
A q-Lagrange inversion theorem due to A. M. Garsia is proved by means of two sign-reversing, weight-preserving involutions on Catalan trees.
COMBINATORICS
1998
13 years 10 months ago
1998
COMBINATORICS
1998
13 years 10 months ago
1998
We show that the moments of the trace of a random unitary matrix have combinatorial interpretations in terms of longest increasing subsequences of permutations. To be precise, we s...
COMBINATORICS
1998
13 years 10 months ago
1998
A bivariate symmetric backwards recursion is of the form d[m, n] = w0(d[m− 1, n]+d[m, n−1])+ω1(d[m−r1, n−s1]+d[m−s1, n−r1])+· · ·+ωk(d[m−rk, n−sk] +d[m−sk, ...
COMBINATORICS
1998
13 years 10 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...
COMBINATORICS
1998
13 years 10 months ago
1998
We discuss some problems of lattice tiling via Harmonic Analysis methods. We consider lattice tilings of Rd by the unit cube in relation to the Minkowski Conjecture (now a theorem...
COMBINATORICS
1998
13 years 10 months ago
1998
COMBINATORICS
1998
13 years 10 months ago
1998