Computing strong metric dimension of some special classes of graphs by genetic algorithms

Author:

Kratica Jozef1,Kovacevic-Vujcic Vera2,Cangalovic Mirjana2

Affiliation:

1. Mathematical Institute, Serbian Academy of Sciences and Arts, Belgrade

2. Faculty of Organizational Sciences, Belgrade

Abstract

In this paper we consider the NP-hard problem of determining the strong metric dimension of graphs. The problem is solved by a genetic algorithm that uses binary encoding and standard genetic operators adapted to the problem. This represents the first attempt to solve this problem heuristically. We report experimental results for the two special classes of ORLIB test instances: crew scheduling and graph coloring.

Publisher

National Library of Serbia

Subject

Management Science and Operations Research

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2. Strong resolving graphs: The realization and the characterization problems;Discrete Applied Mathematics;2018-02

3. The Simultaneous Strong Metric Dimension of Graph Families;Bulletin of the Malaysian Mathematical Sciences Society;2015-11-05

4. Symmetry properties of resolving sets and metric bases in hypercubes;Optimization Letters;2014-09-10

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