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PROPERTYTESTING
2010
13 years 8 months ago
On Constant Time Approximation of Parameters of Bounded Degree Graphs
How well can the maximum size of an independent set, or the minimum size of a dominating set of a graph in which all degrees are at most d be approximated by a randomized constant...
Noga Alon
ISAAC
2009
Springer
140views Algorithms» more  ISAAC 2009»
14 years 5 months ago
Tighter Approximation Bounds for Minimum CDS in Wireless Ad Hoc Networks
Abstract. Connected dominating set (CDS) has a wide range of applications in wireless ad hoc networks. A number of approximation algorithms for constructing a small CDS in wireless...
Minming Li, Peng-Jun Wan, F. Frances Yao
IPL
2008
129views more  IPL 2008»
13 years 11 months ago
Parameterized approximation of dominating set problems
A problem open for many years is whether there is an FPT algorithm that given a graph G and parameter k, either: (1) determines that G has no k-Dominating Set, or (2) produces a do...
Rodney G. Downey, Michael R. Fellows, Catherine Mc...
DAM
2011
13 years 5 months ago
Optimization problems in multiple subtree graphs
We study various optimization problems in t-subtree graphs, the intersection graphs of tsubtrees, where a t-subtree is the union of t disjoint subtrees of some tree. This graph cl...
Danny Hermelin, Dror Rawitz
PPL
2008
94views more  PPL 2008»
13 years 11 months ago
Self-Stabilizing Graph Protocols
We provide self-stabilizing algorithms to obtain and maintain a maximal matching, maximal independent set or minimal dominating set in a given system graph. They converge in linea...
Wayne Goddard, Stephen T. Hedetniemi, David Pokras...