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CPC
2007
95views more  CPC 2007»
13 years 8 months ago
Colouring Random Regular Graphs
In a previous paper we showed that a random 4-regular graph asymptotically almost surely (a.a.s.) has chromatic number 3. Here we extend the method to show that a random 6-regular...
Lingsheng Shi, Nicholas C. Wormald
DCG
2011
13 years 3 months ago
Random Geometric Complexes
We study the expected topological properties of ˇCech and Vietoris-Rips complexes built on random points in Rd . We find higher dimensional analogues of known results for connect...
Matthew Kahle
WEA
2004
Springer
85views Algorithms» more  WEA 2004»
14 years 1 months ago
Faster Deterministic and Randomized Algorithms on the Homogeneous Set Sandwich Problem
A homogeneous set is a non-trivial, proper subset of a graph’s vertices such that all its elements present exactly the same outer neighborhood. Given two graphs, G1(V, E1), G2(V,...
Celina M. Herrera de Figueiredo, Guilherme Dias da...
UAI
2004
13 years 10 months ago
A Complete Anytime Algorithm for Treewidth
In this paper, we present a Branch and Bound algorithm called QuickBB for computing the treewidth of an undirected graph. This algorithm performs a search in the space of perfect ...
Vibhav Gogate, Rina Dechter
TIT
2010
107views Education» more  TIT 2010»
13 years 3 months ago
Information inequalities for joint distributions, with interpretations and applications
Upper and lower bounds are obtained for the joint entropy of a collection of random variables in terms of an arbitrary collection of subset joint entropies. These inequalities gene...
Mokshay M. Madiman, Prasad Tetali