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COMBINATORICS
1998
61views more  COMBINATORICS 1998»
14 years 9 months ago
A Macdonald Vertex Operator and Standard Tableaux Statistics
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,...
Mike Zabrocki
COMBINATORICS
1999
64views more  COMBINATORICS 1999»
14 years 9 months ago
Orthogonal Colorings of Graphs
An orthogonal coloring of a graph G is a pair {c1, c2} of proper colorings of G, having the property that if two vertices are colored with the same color in c1, then they must hav...
Yair Caro, Raphael Yuster
COMBINATORICS
1998
99views more  COMBINATORICS 1998»
14 years 9 months ago
Constructions for Cubic Graphs with Large Girth
The aim of this paper is to give a coherent account of the problem of constructing cubic graphs with large girth. There is a well-defined integer µ0(g), the smallest number of v...
Norman Biggs
MLQ
2002
95views more  MLQ 2002»
14 years 9 months ago
Invariant Logics
A modal logic is called invariant if for all automorphisms of NExt K, () = . An invariant logic is therefore uniquely determined by its surrounding in the lattice. It will be est...
Marcus Kracht
COMBINATORICS
2006
126views more  COMBINATORICS 2006»
14 years 9 months ago
Constructions of Representations of Rank Two Semisimple Lie Algebras with Distributive Lattices
We associate one or two posets (which we call "semistandard posets") to any given irreducible representation of a rank two semisimple Lie algebra over C. Elsewhere we ha...
L. Wyatt Alverson II, Robert G. Donnelly, Scott J....