Please use this identifier to cite or link to this item: https://research.matf.bg.ac.rs/handle/123456789/2077
Title: An integer linear programming formulation for the convex dominating set problems
Authors: Kratica, Jozef
Filipović, Vladimir 
Matić, Dragan
Kartelj, Aleksandar 
Affiliations: Informatics and Computer Science 
Informatics and Computer Science 
Issue Date: 2019
Abstract: 
Due to their importance in practice, dominating set problems in graphs have been greatly studied in past and different formulations of these problems are presented in literature. This paper's focus is on two problems: weakly convex dominating set problem (WCVXDSP) and convex dominating set problem (CVXDSP). It introduces two integer linear programming (ILP) formulation for CVXDSP and one ILP mode for WCVXDSP, as well as proof for equivalency between ILP models for CVXDSP. The proof of correctness for all introduced ILP formulations is provided by showing that optimal solution to the each ILP formulation is equal to the optimal solution of the original problem.
URI: https://research.matf.bg.ac.rs/handle/123456789/2077
DOI: 10.48550/arXiv.1904.02541
Appears in Collections:Research outputs

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