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Recursive generation of IPR fullerenes

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dc.contributor.authorGoedgebeur, Jan
dc.contributor.authorMcKay, Brendan
dc.date.accessioned2015-12-10T22:50:37Z
dc.date.issued2014
dc.date.updated2015-12-10T07:19:31Z
dc.description.abstractWe describe a new construction algorithm for the recursive generation of all non-isomorphic IPR fullerenes. Unlike previous algorithms, the new algorithm stays entirely within the class of IPR fullerenes, that is: every IPR fullerene is constructed by expanding a smaller IPR fullerene unless it belongs to a limited class of irreducible IPR fullerenes that can easily be made separately. The class of irreducible IPR fullerenes consists of 36 fullerenes with up to 112 vertices and 4 infinite families of nanotube fullerenes. Our implementation of this algorithm is faster than other generators for IPR fullerenes and we used it to compute all IPR fullerenes up to 400 vertices.
dc.identifier.urihttp://hdl.handle.net/1885/58700
dc.publisherCornell University Press
dc.sourcearXiv (e-archive for Pre-prints, author submits)
dc.titleRecursive generation of IPR fullerenes
dc.typeJournal article
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.absfor080200 - COMPUTATION THEORY AND MATHEMATICS
local.identifier.absseo970108 - Expanding Knowledge in the Information and Computing Sciences
local.identifier.ariespublicationu4056230xPUB454
local.identifier.citationvolume1501.02680v1
local.identifier.doi10.1007/s10910-015-0513-7
local.identifier.scopusID2-s2.0-84929440001
local.type.statusPublished Version

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