
arXiv: 1104.0733
A flaw in the greedy approximation algorithm proposed by Zhang et al. for minimum connected set cover problem is corrected, and a stronger result on the approximation ratio of the modified greedy algorithm is established. The results are now consistent with the existing results on connected dominating set problem which is a special case of the minimum connected set cover problem.
6 pages, 1 figure, submitted to Theoretical Computer Science
FOS: Computer and information sciences, Connected set cover, connected dominating set problem, Approximation algorithms, Approximation ratio, Theoretical Computer Science, greedy algorithm, Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.), minimum connected set cover problem, Graph algorithms (graph-theoretic aspects), Greedy algorithm, Computer Science - Data Structures and Algorithms, Data Structures and Algorithms (cs.DS), approximation ratio, Computer Science(all)
FOS: Computer and information sciences, Connected set cover, connected dominating set problem, Approximation algorithms, Approximation ratio, Theoretical Computer Science, greedy algorithm, Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.), minimum connected set cover problem, Graph algorithms (graph-theoretic aspects), Greedy algorithm, Computer Science - Data Structures and Algorithms, Data Structures and Algorithms (cs.DS), approximation ratio, Computer Science(all)
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