Encyclopedia of Algorithms

2016 Edition
| Editors: Ming-Yang Kao

Independent Sets in Random Intersection Graphs

• Sotiris Nikoletseas
• Christoforos L. Raptopoulos
• Paul (Pavlos) Spirakis
Reference work entry
DOI: https://doi.org/10.1007/978-1-4939-2864-4_187

Years and Authors of Summarized Original Work

• 2004; Nikoletseas, Raptopoulos, Spirakis

Problem Definition

This problem is concerned with the efficient construction of an independent set of vertices (i.e., a set of vertices with no edges between them) with maximum cardinality, when the input is an instance of the uniform random intersection graphs model. This model was introduced by Karoński, Sheinerman, and Singer-Cohen in [4] and Singer-Cohen in [10] and it is defined as follows

Definition 1 (Uniform random intersection graph)

Consider a universe $${ M {=} \{1, 2, \dots, m\} }$$

Keywords

Existence and efficient construction of independent sets of vertices in general random intersection graphs
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Authors and Affiliations

• Sotiris Nikoletseas
• 1
• 3
Email author
• Christoforos L. Raptopoulos
• 2
• 3
• 4
• Paul (Pavlos) Spirakis
• 5
• 6
• 7
1. 1.Computer Engineering and Informatics Department, University of PatrasPatrasGreece
2. 2.Computer Science DepartmentUniversity of GenevaGenevaSwitzerland
3. 3.Computer Technology Institute and Press “Diophantus”PatrasGreece
4. 4.Research Academic Computer Technology Institute, Greece and Computer Engineering and Informatics DepartmentUniversity of PatrasPatrasGreece
5. 5.Computer Engineering and Informatics, Research and Academic Computer Technology InstitutePatras UniversityPatrasGreece
6. 6.Computer ScienceUniversity of LiverpoolLiverpoolUK
7. 7.Computer Technology Institute (CTI)PatrasGreece