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COMBINATORICS
2007
118views more  COMBINATORICS 2007»
13 years 11 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...
COMBINATORICS
2007
62views more  COMBINATORICS 2007»
13 years 11 months ago
Game List Colouring of Graphs
Mieczyslaw Borowiecki, Elzbieta Sidorowicz, Zsolt ...
COMBINATORICS
2007
64views more  COMBINATORICS 2007»
13 years 11 months ago
An Analogue of the Thue-Morse Sequence
We consider the finite binary words Z(n), n ∈ N, defined by the following selfsimilar process: Z(0) := 0, Z(1) := 01, and Z(n + 1) := Z(n) · Z(n − 1), where the dot · deno...
Emmanuel Ferrand
COMBINATORICS
2007
85views more  COMBINATORICS 2007»
13 years 11 months ago
Maximum Cardinality 1-Restricted Simple 2-Matchings
A simple 2-matching in a graph is a subgraph all of whose nodes have degree 1 or 2. A simple 2-matching is called k-restricted if every connected component has > k edges. We co...
David Hartvigsen
COMBINATORICS
2007
75views more  COMBINATORICS 2007»
13 years 11 months ago
Flexibility of Embeddings of Bouquets of Circles on the Projective Plane and Klein Bottle
In this paper, we study the flexibility of embeddings of bouquets of circles on the projective plane and the Klein bottle. The numbers (of equivalence classes) of embeddings of b...
Yan Yang, Yanpei Liu