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The asymptotic number of claw-free cubic graphs

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dc.contributor.authorMcKay, Brendan
dc.contributor.authorPalmer, Edgar M
dc.contributor.authorRead, Ronald C
dc.contributor.authorRobinson, Robert W
dc.date.accessioned2015-12-13T22:36:30Z
dc.date.available2015-12-13T22:36:30Z
dc.date.issued2003
dc.date.updated2015-12-11T09:32:07Z
dc.description.abstractLet Hn be the number of claw-free cubic graphs on 2n labeled nodes. In an earlier paper we characterized claw-free cubic graphs and derived a recurrence relation for Hn. Here we determine the asymptotic behavior of this sequence: Hn ∼ (2n)!/e√6πn (n/
dc.identifier.issn0012-365X
dc.identifier.urihttp://hdl.handle.net/1885/76790
dc.publisherElsevier
dc.sourceDiscrete Mathematics
dc.subjectKeywords: Asymptotic stability; Functions; Hamiltonians; Probability; Problem solving; Theorem proving; Cubic graphs; Graph theory Asymptotic enumeration; Claw-free; Cubic graphs
dc.titleThe asymptotic number of claw-free cubic graphs
dc.typeJournal article
local.bibliographicCitation.lastpage118
local.bibliographicCitation.startpage107
local.contributor.affiliationMcKay, Brendan, College of Engineering and Computer Science, ANU
local.contributor.affiliationPalmer, Edgar M, Michigan State University
local.contributor.affiliationRead, Ronald C, University of Waterloo
local.contributor.affiliationRobinson, Robert W, University of Georgia
local.contributor.authoruidMcKay, Brendan, u8304521
local.description.notesImported from ARIES
local.description.refereedYes
local.identifier.absfor010104 - Combinatorics and Discrete Mathematics (excl. Physical Combinatorics)
local.identifier.ariespublicationMigratedxPub5584
local.identifier.citationvolume272
local.identifier.doi10.1016/S0012-365X(03)00188-2
local.identifier.scopusID2-s2.0-0141938922
local.type.statusPublished Version

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