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dc.contributor.authorDrmota, Michael
dc.contributor.authorRamos Garrido, Lander
dc.contributor.authorRué Perna, Juan José
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtiques
dc.identifier.citationDrmota, M., Ramos, L., Rue, J. Subgraph statistics in subcritical graph classes. "Random structures and algorithms", 1 Abril 2017, p. 1-43.
dc.description.abstractLet H be a fixed graph and math formula a subcritical graph class. In this paper we show that the number of occurrences of H (as a subgraph) in a graph in math formula of order n, chosen uniformly at random, follows a normal limiting distribution with linear expectation and variance. The main ingredient in our proof is the analytic framework developed by Drmota, Gittenberger and Morgenbesser to deal with infinite systems of functional equations [Drmota, Gittenberger, and Morgenbesser, Submitted]. As a case study, we obtain explicit expressions for the number of triangles and cycles of length 4 in the family of series-parallel graphs.
dc.format.extent43 p.
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística
dc.subject.lcshCombinatorial analysis
dc.subject.otheranalytic combinatorics
dc.subject.othergenerating functions
dc.subject.otherrandom graphs
dc.subject.othersubcritical graph classes
dc.subject.otherseries-parallel graphs
dc.titleSubgraph statistics in subcritical graph classes
dc.subject.lemacAnàlisi combinatòria
dc.contributor.groupUniversitat Politècnica de Catalunya. MD - Matemàtica Discreta
dc.rights.accessOpen Access
dc.description.versionPostprint (author's final draft)
upcommons.citation.authorDrmota, M.; Ramos, L.; Rue, J.
upcommons.citation.publicationNameRandom structures and algorithms

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