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COMBINATORICS
2007
72views more  COMBINATORICS 2007»
15 years 3 months ago
Matrix Partitions with Finitely Many Obstructions
Each m by m symmetric matrix M over 0, 1, ∗, defines a partition problem, in which an input graph G is to be partitioned into m parts with adjacencies governed by M, in the sen...
Tomás Feder, Pavol Hell, Wing Xie
COMBINATORICS
2007
74views more  COMBINATORICS 2007»
15 years 3 months ago
Bipartite-Uniform Hypermaps on the Sphere
A hypermap is (hypervertex-) bipartite if its hypervertices can be 2-coloured in such a way that “neighbouring” hypervertices have different colours. It is bipartiteuniform i...
Antonio Breda d'Azevedo, Rui Duarte
COMBINATORICS
2007
60views more  COMBINATORICS 2007»
15 years 3 months ago
Higher Spin Alternating Sign Matrices
We define a higher spin alternating sign matrix to be an integer-entry square matrix in which, for a nonnegative integer r, all complete row and column sums are r, and all partia...
Roger E. Behrend, Vincent A. Knight
COMBINATORICS
2007
118views more  COMBINATORICS 2007»
15 years 3 months ago
On the Quantum Chromatic Number of a Graph
We investigate the notion of quantum chromatic number of a graph, which is the minimal number of colours necessary in a protocol in which two separated provers can convince a refe...
Peter J. Cameron, Ashley Montanaro, Michael W. New...
ACL
1990
15 years 4 months ago
Free Indexation: Combinatorial Analysis and a Compositional Algorithm
The principle known as 'free indexation' plays an important role in the determination of the referential properties of noun phrases in the principleand-parameters langua...
Sandiway Fong