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Random subcube intersection graphs I: cliques and covering
Umeå University, Faculty of Science and Technology, Department of Mathematics and Mathematical Statistics.
Umeå University, Faculty of Science and Technology, Department of Mathematics and Mathematical Statistics.
2016 (English)In: The Electronic Journal of Combinatorics, ISSN 1097-1440, E-ISSN 1077-8926, Vol. 23, no 3, P3.43Article in journal (Refereed) Published
Abstract [en]

We study random subcube intersection graphs, that is, graphs obtained by selecting a random collection of subcubes of a fixed hypercube Qd to serve as the vertices of the graph, and setting an edge between a pair of subcubes if their intersection is non-empty. Our motivation for considering such graphs is to model 'random compatibility' between vertices in a large network. For both of the models considered in this paper, we determine the thresholds for covering the underlying hypercube Qd and for the appearance of s-cliques. In addition we pose a number of open problems.

Place, publisher, year, edition, pages
2016. Vol. 23, no 3, P3.43
Keyword [en]
Random graphs, Random intersection graphs
National Category
Mathematics
Identifiers
URN: urn:nbn:se:umu:diva-127244ISI: 000385228700002OAI: oai:DiVA.org:umu-127244DiVA: diva2:1046590
Available from: 2016-11-14 Created: 2016-11-03 Last updated: 2016-11-14Bibliographically approved

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Falgas-Ravry, VictorMarkström, Klas
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