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COMBINATORICA
2011
14 years 5 months ago
On the chromatic number of random geometric graphs
Given independent random points X1, . . . , Xn ∈ Rd with common probability distribution ν, and a positive distance r = r(n) > 0, we construct a random geometric graph Gn wi...
Colin McDiarmid, Tobias Müller
SDM
2012
SIAM
278views Data Mining» more  SDM 2012»
13 years 8 months ago
Legislative Prediction via Random Walks over a Heterogeneous Graph
In this article, we propose a random walk-based model to predict legislators’ votes on a set of bills. In particular, we first convert roll call data, i.e. the recorded votes a...
Jun Wang, Kush R. Varshney, Aleksandra Mojsilovic
SODA
2010
ACM
234views Algorithms» more  SODA 2010»
16 years 3 months ago
PTAS for maximum weight independent set problem with random weights in bounded degree graphs
Finding the largest independent set in a graph is a notoriously difficult NP-complete combinatorial optimization problem. Moreover, even for graphs with largest degree 3, no polyn...
David Gamarnik, David Goldberg, Theophane Weber
COMBINATORICS
2002
111views more  COMBINATORICS 2002»
15 years 5 months ago
A Density Result for Random Sparse Oriented Graphs and its Relation to a Conjecture of Woodall
We shall prove that for all 3 and > 0 there exists a sparse oriented graph of arbitrarily large order with oriented girth and such that any 1/2 + proportion of its arcs induc...
Jair Donadelli, Yoshiharu Kohayakawa
CCCG
2010
15 years 7 months ago
Approximating the independent domatic partition problem in random geometric graphs - an experimental study
We investigate experimentally the Domatic Partition (DP) problem, the Independent Domatic Partition (IDP) problem and the Idomatic partition problem in Random Geometric Graphs (RG...
Dhia Mahjoub, Angelika Leskovskaya, David W. Matul...