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IPL
1998
119views more  IPL 1998»
13 years 7 months ago
A 2.5-Factor Approximation Algorithm for the k-MST Problem
The k-MST problem requires finding that subset of at least k vertices of a given graph whose Minimum Spanning Tree has least weight amongst all subsets of at least k vertices. Th...
Sunil Arya, H. Ramesh
JGAA
2000
179views more  JGAA 2000»
13 years 7 months ago
Approximation Algorithms for Some Graph Partitioning Problems
This paper considers problems of the following type: given an edgeweighted k-colored input graph with maximum color class size c, find a minimum or maximum c-way cut such that eac...
George He, Jiping Liu, Cheng Zhao
JCT
2007
117views more  JCT 2007»
13 years 7 months ago
Large independent sets in regular graphs of large girth
Let G be a d-regular graph with girth g, and let α be the independence number of G. We show that α(G) ≥ 1 2 1 − (d − 1)−2/(d−2) − (g) n where (g) → 0 as g → ∞,...
Joseph Lauer, Nicholas C. Wormald
ECCC
2011
282views ECommerce» more  ECCC 2011»
13 years 2 months ago
Almost k-wise vs. k-wise independent permutations, and uniformity for general group actions
A family of permutations in Sn is k-wise independent if a uniform permutation chosen from the family maps any distinct k elements to any distinct k elements equally likely. Effici...
Noga Alon, Shachar Lovett
DCG
2010
289views more  DCG 2010»
13 years 7 months ago
Algorithms for Approximate Shortest Path Queries on Weighted Polyhedral Surfaces
We consider the well known geometric problem of determining shortest paths between pairs of points on a polyhedral surface P, where P consists of triangular faces with positive we...
Lyudmil Aleksandrov, Hristo Djidjev, Hua Guo, Anil...