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COMBINATORICA
2011
14 years 6 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
FOCS
2009
IEEE
16 years 1 months ago
Approximation Algorithms for Multicommodity-Type Problems with Guarantees Independent of the Graph Size
— Linial, London and Rabinovich [16] and Aumann and Rabani [3] proved that the min-cut max-flow ratio for general maximum concurrent flow problems (when there are k commodities...
Ankur Moitra
IPPS
2009
IEEE
16 years 1 months ago
Unit disk graph and physical interference model: Putting pieces together
Modeling communications in wireless networks is a challenging task since it asks for a simple mathematical object on which efficient algorithms can be designed, but that must also...
Emmanuelle Lebhar, Zvi Lotker
IJCAI
2007
15 years 7 months ago
Web Page Clustering Using Heuristic Search in the Web Graph
Effective representation of Web search results remains an open problem in the Information Retrieval community. For ambiguous queries, a traditional approach is to organize search ...
Ron Bekkerman, Shlomo Zilberstein, James Allan
ALGORITHMICA
2011
15 years 1 months ago
All-Pairs Bottleneck Paths in Vertex Weighted Graphs
Let G = (V, E, w) be a directed graph, where w : V → R is an arbitrary weight function defined on its vertices. The bottleneck weight, or the capacity, of a path is the smalles...
Asaf Shapira, Raphael Yuster, Uri Zwick