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» A note on generalized chromatic number and generalized girth
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COMBINATORICS
2007
118views more  COMBINATORICS 2007»
13 years 4 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...
DM
2006
79views more  DM 2006»
13 years 4 months ago
Conditional colorings of graphs
For an integer r > 0, a conditional (k, r)-coloring of a graph G is a proper k-coloring of the vertices of G such that every vertex of degree at least r in G will be adjacent t...
Hong-Jian Lai, Jianliang Lin, Bruce Montgomery, Ta...
EJC
2008
13 years 5 months ago
Fractional coloring and the odd Hadwiger's conjecture
Gerards and Seymour (see [T.R. Jensen, B. Toft, Graph Coloring Problems, Wiley-Interscience, 1995], page 115) conjectured that if a graph has no odd complete minor of order p, the...
Ken-ichi Kawarabayashi, Bruce A. Reed
HICSS
2007
IEEE
134views Biometrics» more  HICSS 2007»
13 years 11 months ago
Exploring the Clinical Notes of Pathology Ordering by Australian General Practitioners: a text mining perspective
A massive rise in the number and expenditure of pathology ordering by general practitioners (GPs) concerns the government and attracts various studies with the aim to understand a...
Zoe Yan Zhuang, Rasika Amarasiri, Leonid Churilov,...
JCT
2007
112views more  JCT 2007»
13 years 4 months ago
On generalized Kneser hypergraph colorings
In Ziegler (2002), the second author presented a lower bound for the chromatic numbers of hypergraphs KGr sssS, “generalized r-uniform Kneser hypergraphs with intersection multi...
Carsten E. M. C. Lange, Günter M. Ziegler