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On Vertex, Edge, and Vertex-Edge Random Graphs
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Analysis and Applied Mathematics.
2011 (English)In: The Electronic Journal of Combinatorics, ISSN 1077-8926, Vol. 18, no 1, P110- p.Article in journal (Refereed) Published
Abstract [en]

We consider three classes of random graphs: edge random graphs, vertex random graphs, and vertex-edge random graphs. Edge random graphs are Erdos-Renyi random graphs, vertex random graphs are generalizations of geometric random graphs, and vertex-edge random graphs generalize both. The names of these three types of random graphs describe where the randomness in the models lies: in the edges, in the vertices, or in both. We show that vertex-edge random graphs, ostensibly the most general of the three models, can be approximated arbitrarily closely by vertex random graphs, but that the two categories are distinct.

Place, publisher, year, edition, pages
2011. Vol. 18, no 1, P110- p.
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:uu:diva-154299ISI: 000290556900002OAI: oai:DiVA.org:uu-154299DiVA: diva2:419881
Available from: 2011-05-30 Created: 2011-05-30 Last updated: 2011-05-30Bibliographically approved

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