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» On the Quantum Chromatic Number of a Graph
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CPC
2007
101views more  CPC 2007»
13 years 8 months ago
Colouring Random 4-Regular Graphs
We show that a random 4-regular graph asymptotically almost surely (a.a.s.) has chromatic number 3. The proof uses an efficient algorithm which a.a.s. 3colours a random 4-regular ...
Lingsheng Shi, Nicholas C. Wormald
DM
2011
249views Education» more  DM 2011»
13 years 3 months ago
Acyclic vertex coloring of graphs of maximum degree 5
An acyclic vertex coloring of a graph is a proper vertex coloring such that there are no bichromatic cycles.  The acyclic chromatic number of G, denoted ...
Kishore Yadav, Satish Varagani, Kishore Kothapalli...
RSA
2011
89views more  RSA 2011»
13 years 3 months ago
Excluding induced subgraphs: Critical graphs
Determining the cardinality and describing the structure of H-free graphs is wellinvestigated for many graphs H. In the nineties, Prömel and Steger proved that for a graph H with...
József Balogh, Jane Butterfield
ICQNM
2007
IEEE
131views Chemistry» more  ICQNM 2007»
14 years 3 months ago
Comparison of two bounds of the quantum correlation set
— From a geometric viewpoint, quantum nonlocality between two parties is represented as the difference of two convex bodies, namely the sets of possible results of classical and ...
David Avis, Tsuyoshi Ito
DAM
2010
103views more  DAM 2010»
13 years 8 months ago
Dynamic list coloring of bipartite graphs
A dynamic coloring of a graph is a proper coloring of its vertices such that every vertex of degree more than one has at least two neighbors with distinct colors. The least number...
Louis Esperet