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SPAA
1992
ACM
15 years 8 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»
15 years 5 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»
15 years 4 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»
15 years 4 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 9 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