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» Resolvent of large random graphs
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BIOINFORMATICS
2007
83views more  BIOINFORMATICS 2007»
13 years 7 months ago
Exploring biological network structure using exponential random graph models
Motivation: The functioning of biological networks depends in large part on their complex underlying structure. When studying their systemic nature many modeling approaches focus ...
Zachary M. Saul, Vladimir Filkov
INFOCOM
2012
IEEE
11 years 10 months ago
On superposition of heterogeneous edge processes in dynamic random graphs
—This paper builds a generic modeling framework for analyzing the edge-creation process in dynamic random graphs in which nodes continuously alternate between active and inactive...
Zhongmei Yao, Daren B. H. Cline, Dmitri Loguinov
CP
2004
Springer
14 years 1 months ago
How Much Backtracking Does It Take to Color Random Graphs? Rigorous Results on Heavy Tails
Many backtracking algorithms exhibit heavy-tailed distributions, in which their running time is often much longer than their median. We analyze the behavior of two natural variant...
Haixia Jia, Cristopher Moore
CCCG
2010
13 years 9 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...
CORR
2011
Springer
138views Education» more  CORR 2011»
13 years 2 months ago
On the resilience of Hamiltonicity and optimal packing of Hamilton cycles in random graphs
Let k = (k1, . . . , kn) be a sequence of n integers. For an increasing monotone graph property P we say that a base graph G = ([n], E) is k-resilient with respect to P if for eve...
Sonny Ben-Shimon, Michael Krivelevich, Benny Sudak...