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CCCG
2010
13 years 9 months ago
Connected dominating sets on dynamic geometric graphs
We propose algorithms for efficiently maintaining a constant-approximate minimum connected dominating set (MCDS) of a geometric graph under node insertions and deletions. Assuming...
Leonidas J. Guibas, Nikola Milosavljevic, Arik Mot...
FSTTCS
2010
Springer
13 years 5 months ago
The effect of girth on the kernelization complexity of Connected Dominating Set
In the Connected Dominating Set problem we are given as input a graph G and a positive integer k, and are asked if there is a set S of at most k vertices of G such that S is a dom...
Neeldhara Misra, Geevarghese Philip, Venkatesh Ram...
JCO
2008
134views more  JCO 2008»
13 years 7 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...
WG
2005
Springer
14 years 1 months ago
Optimal Broadcast Domination of Arbitrary Graphs in Polynomial Time
Broadcast domination was introduced by Erwin in 2002, and it is a variant of the standard dominating set problem, such that vertices can be assigned various domination powers. Broa...
Pinar Heggernes, Daniel Lokshtanov
ICDCS
2008
IEEE
14 years 2 months ago
Distributed Connected Dominating Set Construction in Geometric k-Disk Graphs
In this paper, we study the problem of minimum connected dominating set in geometric k-disk graphs. This research is motivated by the problem of virtual backbone construction in w...
Kai Xing, Wei Cheng, E. K. Park, Shmuel Rotenstrei...