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» On the Strong Chromatic Number of Random Graphs
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APPROX
2004
Springer
125views Algorithms» more  APPROX 2004»
15 years 2 months ago
Strong Refutation Heuristics for Random k-SAT
A simple first moment argument shows that in a randomly chosen k-SAT formula with m clauses over n boolean variables, the fraction of satisfiable clauses is 1−2−k +o(1) as m/...
Amin Coja-Oghlan, Andreas Goerdt, André Lan...
IPL
1998
95views more  IPL 1998»
14 years 9 months ago
Coloring Random Graphs
An equitable coloring of a graph is a proper vertex coloring such that the sizes of any two color classes differ by at most one. The least positive integer k for which there exis...
Michael Krivelevich, Benny Sudakov
CPC
2007
101views more  CPC 2007»
14 years 9 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
KDD
2012
ACM
196views Data Mining» more  KDD 2012»
12 years 12 months ago
Chromatic correlation clustering
We study a novel clustering problem in which the pairwise relations between objects are categorical. This problem can be viewed as clustering the vertices of a graph whose edges a...
Francesco Bonchi, Aristides Gionis, Francesco Gull...
COMBINATORICA
2008
130views more  COMBINATORICA 2008»
14 years 9 months ago
Two-point concentration in random geometric graphs
A random geometric graph Gn is constructed by taking vertices X1, . . . , Xn Rd at random (i.i.d. according to some probability distribution with a bounded density function) and...
Tobias Müller