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COCOON
2007
Springer
13 years 11 months ago
Distributed Approximation Algorithms for Weighted Problems in Minor-Closed Families
We give efficient distributed approximation algorithms for weighted versions of the maximum matching problem and the minimum dominating set problem for graphs from minor-closed fam...
Andrzej Czygrinow, Michal Hanckowiak
ICDCS
2010
IEEE
13 years 4 months ago
Distributed Construction of Connected Dominating Sets with Minimum Routing Cost in Wireless Networks
—In this paper, we will study a special Connected Dominating Set (CDS) problem — between any two nodes in a network, there exists at least one shortest path, all of whose inter...
Ling Ding, Xiaofeng Gao, Weili Wu, Wonjun Lee, Xu ...
COCOA
2009
Springer
13 years 11 months ago
A PTAS for Node-Weighted Steiner Tree in Unit Disk Graphs
Abstract. The node-weighted Steiner tree problem is a variation of classical Steiner minimum tree problem. Given a graph G = (V, E) with node weight function C : V → R+ and a sub...
Xianyue Li, Xiao-Hua Xu, Feng Zou, Hongwei Du, Pen...
JCO
2008
134views more  JCO 2008»
13 years 4 months ago
On minimum m -connected k -dominating set problem in unit disc graphs
Minimum m-connected k-dominating set problem is as follows: Given a graph G = (V,E) and two natural numbers m and k, find a subset S V of minimal size such that every vertex in V ...
Weiping Shang, F. Frances Yao, Peng-Jun Wan, Xiaod...
COLOGNETWENTE
2007
13 years 6 months ago
Approximating minimum independent dominating sets in wireless networks
We present the first polynomial-time approximation scheme (PTAS) for the Minimum Independent Dominating Set problem in graphs of polynomially bounded growth. Graphs of bounded gr...
Johann Hurink, Tim Nieberg