Title
A Greedy Algorithm For The Fault-Tolerant Outer-Connected Dominating Set Problem
Abstract
For a graph G = (V, E), a vertex set C subset of V is an m-f old outer-connected dominating set (m-f old OCDS) of G if every vertex in V\C has at least m neighbors in C and the subgraph of G induced by V\C is connected. In this paper, we present a greedy algorithm to compute an m-fold OCDS in general graphs, which returns a solution of size at most alpha + 1+ln(Delta + m + 1) times that of aminimum m-fold OCDS, where Delta is the maximum degree of the graph and alpha is a positive number at most Delta+m+1.
Year
DOI
Venue
2021
10.1007/s10878-020-00668-z
JOURNAL OF COMBINATORIAL OPTIMIZATION
Keywords
DocType
Volume
m-Fold outer-connected dominating set, Potential function, Greedy algorithm, Submodular
Journal
41
Issue
ISSN
Citations 
1
1382-6905
0
PageRank 
References 
Authors
0.34
0
6
Name
Order
Citations
PageRank
Xiaozhi Wang100.34
Xianyue Li200.68
Bo Hou301.69
Wen Liu483.34
Lidong Wu500.34
Suogang Gao602.03