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CORR
2010
Springer
185views Education» more  CORR 2010»
15 years 2 months ago
Estimating and Sampling Graphs with Multidimensional Random Walks
Estimating characteristics of large graphs via sampling is a vital part of the study of complex networks. Current sampling methods such as (independent) random vertex and random w...
Bruno F. Ribeiro, Donald F. Towsley
117
Voted
FCT
2009
Springer
15 years 9 months ago
Martingales on Trees and the Empire Chromatic Number of Random Trees
We study the empire colouring problem (as defined by Percy Heawood in 1890) for maps whose dual planar graph is a tree, with empires formed by exactly r countries. We prove that, ...
Colin Cooper, Andrew R. A. McGrae, Michele Zito
95
Voted
ICALP
2009
Springer
16 years 2 months ago
Derandomizing Random Walks in Undirected Graphs Using Locally Fair Exploration Strategies
Colin Cooper, David Ilcinkas, Ralf Klasing, Adrian...
APPROX
2009
Springer
98views Algorithms» more  APPROX 2009»
15 years 9 months ago
Random Tensors and Planted Cliques
The r-parity tensor of a graph is a generalization of the adjacency matrix, where the tensor’s entries denote the parity of the number of edges in subgraphs induced by r distinc...
S. Charles Brubaker, Santosh Vempala
CPC
2006
110views more  CPC 2006»
15 years 2 months ago
Solving Sparse Random Instances of Max Cut and Max 2-CSP in Linear Expected Time
Abstract. We show that a maximum cut of a random graph below the giantcomponent threshold can be found in linear space and linear expected time by a simple algorithm. In fact, the ...
Alexander D. Scott, Gregory B. Sorkin