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APPROX
2008
Springer
142views Algorithms» more  APPROX 2008»
13 years 11 months ago
Approximating Maximum Subgraphs without Short Cycles
We study approximation algorithms, integrality gaps, and hardness of approximation, of two problems related to cycles of "small" length k in a given graph. The instance f...
Guy Kortsarz, Michael Langberg, Zeev Nutov
FOCM
2008
76views more  FOCM 2008»
13 years 9 months ago
On Smale's 17th Problem: A Probabilistic Positive Solution
Smale's 17th Problem asks "Can a zero of n complex polynomial equations in n unknowns be found approximately, on the average [for a suitable probability measure on the s...
Carlos Beltrán, Luis Miguel Pardo
ORL
1998
137views more  ORL 1998»
13 years 8 months ago
Calculation of stability radii for combinatorial optimization problems
We present algorithms to calculate the stability radius of optimal or approximate solutions of binary programming problems with a min sum or min max objective function. Our algori...
Nilotpal Chakravarti, Albert P. M. Wagelmans
COCOA
2008
Springer
13 years 10 months ago
Polynomial Time Approximation Scheme for Connected Vertex Cover in Unit Disk Graph
Connected Vertex Cover Problem (CVC) is an NP-hard problem. The currently best known approximation algorithm for CVC has performance ration 2. This paper gives the first Polynomial...
Zhao Zhang, Xiaofeng Gao, Weili Wu
JDA
2007
97views more  JDA 2007»
13 years 8 months ago
Local solutions for global problems in wireless networks
In this paper, we review a recently developed class of algorithms that solve global problems in unit distance wireless networks by means of local algorithms. A local algorithm is ...
Jorge Urrutia