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The Generation of Fullerenes

dc.contributor.authorBrinkmann, Gunnar
dc.contributor.authorGoedgebeur, Jan
dc.contributor.authorMcKay, Brendan
dc.date.accessioned2015-12-10T23:34:21Z
dc.date.issued2012
dc.date.updated2016-02-24T08:52:48Z
dc.description.abstractWe describe an efficient new algorithm for the generation of fullerenes. Our implementation of this algorithm is more than 3.5 times faster than the previously fastest generator for fullerenes - fullgen - and the first program since fullgen to be useful for more than 100 vertices. We also note a programming error in fullgen that caused problems for 136 or more vertices. We tabulate the numbers of fullerenes and IPR fullerenes up to 400 vertices. We also check up to 316 vertices a conjecture of Barnette that cubic planar graphs with maximum face size 6 are Hamiltonian and verify that the smallest counterexample to the spiral conjecture has 380 vertices.
dc.identifier.issn1549-9596
dc.identifier.urihttp://hdl.handle.net/1885/69401
dc.publisherAmerican Chemical Society
dc.sourceJournal of Chemical Information and Modeling
dc.subjectKeywords: Cubic planar graphs; IPR fullerenes; Programming errors; Algorithms; Fullerenes
dc.titleThe Generation of Fullerenes
dc.typeJournal article
local.bibliographicCitation.issue11
local.bibliographicCitation.lastpage2918
local.bibliographicCitation.startpage2910
local.contributor.affiliationBrinkmann, Gunnar, Ghent University
local.contributor.affiliationGoedgebeur, Jan, Ghent University
local.contributor.affiliationMcKay, Brendan, College of Engineering and Computer Science, ANU
local.contributor.authoruidMcKay, Brendan, u8304521
local.description.embargo2037-12-31
local.description.notesImported from ARIES
local.identifier.absfor080104 - Computer Vision
local.identifier.absseo970108 - Expanding Knowledge in the Information and Computing Sciences
local.identifier.ariespublicationf5625xPUB2012
local.identifier.citationvolume52
local.identifier.doi10.1021/ci3003107
local.identifier.scopusID2-s2.0-84870010323
local.identifier.thomsonID000311461400012
local.type.statusPublished Version

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