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» The metamathematics of random graphs
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FCT
2009
Springer
15 years 4 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
ICALP
2009
Springer
15 years 10 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 4 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»
14 years 9 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
CORR
2007
Springer
87views Education» more  CORR 2007»
14 years 9 months ago
Detection of Gauss-Markov Random Fields with Nearest-Neighbor Dependency
Abstract—The problem of hypothesis testing against independence for a Gauss–Markov random field (GMRF) is analyzed. Assuming an acyclic dependency graph, an expression for the...
Animashree Anandkumar, Lang Tong, Ananthram Swami