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COMBINATORICS
2002
104views more  COMBINATORICS 2002»
14 years 9 months ago
Exchange Symmetries in Motzkin Path and Bargraph Models of Copolymer Adsorption
In a previous work [26], by considering paths that are partially weighted, the generating function of Dyck paths was shown to possess a type of symmetry, called an exchange relati...
E. J. Janse van Rensburg, A. Rechnitzer
COMBINATORICS
1998
86views more  COMBINATORICS 1998»
14 years 9 months ago
Lattice Tilings by Cubes: Whole, Notched and Extended
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...
Mihail N. Kolountzakis
COMBINATORICS
1999
90views more  COMBINATORICS 1999»
14 years 9 months ago
New Bounds for Codes Identifying Vertices in Graphs
Let G = (V, E) be an undirected graph. Let C be a subset of vertices that we shall call a code. For any vertex v V , the neighbouring set N(v, C) is the set of vertices of C at d...
Gérard D. Cohen, Iiro S. Honkala, Antoine L...
COMBINATORICS
1999
82views more  COMBINATORICS 1999»
14 years 9 months ago
On Highly Closed Cellular Algebras and Highly Closed Isomorphisms
We define and study m-closed cellular algebras (coherent configurations) and m-isomorphisms of cellular algebras which can be regarded as mth approximations of Schurian algebras (...
Sergei Evdokimov, Ilia N. Ponomarenko
COMBINATORICS
1999
90views more  COMBINATORICS 1999»
14 years 9 months ago
On the Theory of Pfaffian Orientations. II. T-joins, k-cuts, and Duality of Enumeration
This is a continuation of our paper "A Theory of Pfaffian Orientations I: Perfect Matchings and Permanents". We present a new combinatorial way to compute the generating...
Anna Galluccio, Martin Loebl