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COMBINATORICS
2006
124views more  COMBINATORICS 2006»
13 years 7 months ago
Bounded-Degree Graphs have Arbitrarily Large Geometric Thickness
Abstract. The geometric thickness of a graph G is the minimum integer k such that there is a straight line drawing of G with its edge set partitioned into k plane subgraphs. Eppste...
János Barát, Jirí Matousek, D...
ESA
2001
Springer
132views Algorithms» more  ESA 2001»
14 years 4 days ago
Greedy Algorithms for Minimisation Problems in Random Regular Graphs
In this paper we introduce a general strategy for approximating the solution to minimisation problems in random regular graphs. We describe how the approach can be applied to the m...
Michele Zito
APPROX
2010
Springer
179views Algorithms» more  APPROX 2010»
13 years 9 months ago
Rumor Spreading on Random Regular Graphs and Expanders
Broadcasting algorithms are important building blocks of distributed systems. In this work we investigate the typical performance of the classical and well-studied push model. Assu...
Nikolaos Fountoulakis, Konstantinos Panagiotou
APPROX
2004
Springer
129views Algorithms» more  APPROX 2004»
14 years 1 months ago
The Chromatic Number of Random Regular Graphs
Given any integer d ≥ 3, let k be the smallest integer such that d < 2k log k. We prove that with high probability the chromatic number of a random d-regular graph is k, k + 1...
Dimitris Achlioptas, Cristopher Moore
SODA
2010
ACM
209views Algorithms» more  SODA 2010»
14 years 5 months ago
Counting Stars and Other Small Subgraphs in Sublinear Time
Detecting and counting the number of copies of certain subgraphs (also known as network motifs or graphlets), is motivated by applications in a variety of areas ranging from Biolo...
Mira Gonen, Dana Ron, Yuval Shavitt