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CORR
2010
Springer
104views Education» more  CORR 2010»
15 years 2 months ago
Coloring translates and homothets of a convex body
We obtain improved upper bounds and new lower bounds on the chromatic number as a linear function of the clique number, for the intersection graphs (and their complements) of fini...
Adrian Dumitrescu, Minghui Jiang
139
Voted
CORR
2010
Springer
80views Education» more  CORR 2010»
14 years 9 months ago
Distributed Deterministic Edge Coloring using Bounded Neighborhood Independence
We study the edge-coloring problem in the message-passing model of distributed computing. This is one of the most fundamental problems in this area. Currently, the best-known dete...
Leonid Barenboim, Michael Elkin
120
Voted
WAW
2009
Springer
150views Algorithms» more  WAW 2009»
15 years 9 months ago
The Giant Component in a Random Subgraph of a Given Graph
We consider a random subgraph Gp of a host graph G formed by retaining each edge of G with probability p. We address the question of determining the critical value p (as a function...
Fan Chung Graham, Paul Horn, Linyuan Lu
CPC
2007
97views more  CPC 2007»
15 years 2 months ago
On an Online Spanning Tree Problem in Randomly Weighted Graphs
Abstract. This paper is devoted to an online variant of the minimum spanning tree problem in randomly weighted graphs. We assume that the input graph is complete and the edge weigh...
Jan Remy, Alexander Souza, Angelika Steger
AIRS
2006
Springer
15 years 6 months ago
Natural Document Clustering by Clique Percolation in Random Graphs
Document clustering techniques mostly depend on models that impose explicit and/or implicit priori assumptions as to the number, size, disjunction characteristics of clusters, and/...
Wei Gao, Kam-Fai Wong