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Fullerenes with distant pentagons

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Goedgebeur, Jan; McKay, Brendan

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For each d > 0, we find all the smallest fullerenes for which the least distance between two pentagons is d. We also show that for each d there is an hd such that fullerenes with pentagons at least distance d apart and any number of hexagons greater than or equal to hd exist. We also determine the number of fullerenes where the minimum distance between any two pentagons is at least d, for 1 ≤ d ≤ 5, up to 400 vertices.

dc.contributor.authorGoedgebeur, Jan
dc.contributor.authorMcKay, Brendan
dc.date.accessioned2016-06-14T23:20:17Z
dc.identifier.issn0340-6253
dc.identifier.urihttp://hdl.handle.net/1885/103296
dc.description.abstractFor each d > 0, we find all the smallest fullerenes for which the least distance between two pentagons is d. We also show that for each d there is an h<inf>d</inf> such that fullerenes with pentagons at least distance d apart and any number of hexagons greater than or equal to h<inf>d</inf> exist. We also determine the number of fullerenes where the minimum distance between any two pentagons is at least d, for 1 ≤ d ≤ 5, up to 400 vertices.
dc.publisherUniversity of Bayreuth
dc.sourceMATCH - Communications in Mathematical and in Computer Chemistry
dc.titleFullerenes with distant pentagons
dc.typeJournal article
local.description.notesImported from ARIES
local.identifier.citationvolume74
dc.date.issued2015
local.identifier.absfor080202 - Applied Discrete Mathematics
local.identifier.ariespublicationU3488905xPUB6378
local.type.statusPublished Version
local.contributor.affiliationGoedgebeur, Jan, Ghent University
local.contributor.affiliationMcKay, Brendan, College of Engineering and Computer Science, ANU
local.description.embargo2037-12-31
local.bibliographicCitation.issue3
local.bibliographicCitation.startpage659
local.bibliographicCitation.lastpage672
local.identifier.absseo970108 - Expanding Knowledge in the Information and Computing Sciences
dc.date.updated2024-03-03T07:17:43Z
local.identifier.scopusID2-s2.0-84943240366
local.identifier.thomsonID000365373800012
CollectionsANU Research Publications

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