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SPAA
1992
ACM
15 years 2 months ago
Separator Based Parallel Divide and Conquer in Computational Geometry
An O(log n) time, n processor randomized algorithm for computing the k-nearest neighbor graph of n points in d dimensions, for fixed d and k is presented. The method is based on t...
Alan M. Frieze, Gary L. Miller, Shang-Hua Teng
ESA
2008
Springer
101views Algorithms» more  ESA 2008»
14 years 11 months ago
Faster Steiner Tree Computation in Polynomial-Space
Given an n-node graph and a subset of k terminal nodes, the NP-hard Steiner tree problem is to compute a minimum-size tree which spans the terminals. All the known algorithms for t...
Fedor V. Fomin, Fabrizio Grandoni, Dieter Kratsch
COMBINATORICA
2006
91views more  COMBINATORICA 2006»
14 years 10 months ago
The Number Of Orientations Having No Fixed Tournament
Let T be a fixed tournament on k vertices. Let D(n, T) denote the maximum number of orientations of an n-vertex graph that have no copy of T. We prove that D(n, T) = 2tk-1(n) for ...
Noga Alon, Raphael Yuster
COMBINATORICS
2006
142views more  COMBINATORICS 2006»
14 years 10 months ago
The Zeta Function of a Hypergraph
We generalize the Ihara-Selberg zeta function to hypergraphs in a natural way. Hashimoto's factorization results for biregular bipartite graphs apply, leading to exact factor...
Christopher K. Storm
ICALP
2005
Springer
15 years 3 months ago
Approximation Algorithms for the Max-coloring Problem
Given a graph G = (V, E) and positive integral vertex weights w : V → N, the max-coloring problem seeks to find a proper vertex coloring of G whose color classes C1, C2, . . . ,...
Sriram V. Pemmaraju, Rajiv Raman