On greedy approximation algorithm for the minimum resolving dominating set problem

In this paper, we investigate the minimum resolving dominating set problem which is a emerging combinatorial optimization problem in general graphs. We prove that the resolving dominating set problem is NP-hard and propose a greedy algorithm with an approximation ratio of ( 1 + 2 ln n ) by establish...

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Bibliographic Details
Published in:Journal of combinatorial optimization Vol. 48; no. 4; p. 35
Main Author: Zhong, Hao
Format: Journal Article
Language:English
Published: New York Springer US 01.11.2024
Springer Nature B.V
Subjects:
Algorithms
Approximation
Combinatorial analysis
Combinatorics
Convex and Discrete Geometry
Greedy algorithms
Mathematical Modeling and Industrial Mathematics
Mathematics
Mathematics and Statistics
Operations Research/Decision Theory
Optimization
Optimization techniques
Theory of Computation
Submodular function
NP-hard
Greedy approximation algorithm
68Q87
Resolving dominating set
ISSN:1382-6905, 1573-2886
Online Access:Get full text
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Summary:In this paper, we investigate the minimum resolving dominating set problem which is a emerging combinatorial optimization problem in general graphs. We prove that the resolving dominating set problem is NP-hard and propose a greedy algorithm with an approximation ratio of ( 1 + 2 ln n ) by establishing a submodular potential function, where n is the node number of the input graph.
Bibliography:ObjectType-Article-1
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content type line 14
ISSN:1382-6905
1573-2886
DOI:10.1007/s10878-024-01229-4