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COMBINATORICS
2007
118views more  COMBINATORICS 2007»
13 years 7 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...
STOC
2000
ACM
112views Algorithms» more  STOC 2000»
14 years 7 days ago
A random graph model for massive graphs
We propose a random graph model which is a special case of sparse random graphs with given degree sequences. This model involves only a small number of parameters, called logsize ...
William Aiello, Fan R. K. Chung, Linyuan Lu
ISAAC
1992
Springer
186views Algorithms» more  ISAAC 1992»
13 years 12 months ago
Algorithms for Finding Non-Crossing Paths with Minimum Total Length in Plane Graphs
Let G be an undirected plane graph with non-negative edge length, and let k terminal pairs lie on two specified face boundaries. This paper presents an algorithm for finding k &quo...
Jun-ya Takahashi, Hitoshi Suzuki, Takao Nishizeki
CPC
2007
101views more  CPC 2007»
13 years 7 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
COCOA
2007
Springer
14 years 2 months ago
A New Exact Algorithm for the Two-Sided Crossing Minimization Problem
The Two-Sided Crossing Minimization (TSCM) problem calls for minimizing the number of edge crossings of a bipartite graph where the two sets of vertices are drawn on two parallel l...
Lanbo Zheng, Christoph Buchheim