A classification of plane and planar 2-trees

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dc.creatorLabelle, G.
dc.creatorLamathe, C.
dc.creatorLeroux, P.
dc.date2002-02-06
dc.date.accessioned2026-07-07T04:46:20Z
dc.date.available2026-07-07T04:46:20Z
dc.descriptionWe present new functional equations for the species of plane and of planar (in the sense of Harary and Palmer, 1973) 2-trees and some associated pointed species. We then deduce the explicit molecular expansion of these species, i.e a classification of their structures according to their stabilizers. There result explicit formulas in terms of Catalan numbers for their associated generating series, including the asymmetry index series. This work is closely related to the enumeration of polyene hydrocarbons of molecular formula C_nH_n+2.
dc.description26 pages, 14 figures
dc.identifierhttps://arxiv.org/abs/math/0202052
dc.identifierhttp://arxiv.org/abs/math/0202052
dc.identifierTheorical Computer Science, 307 (2003), 337-363
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/63289
dc.subjectCombinatorics
dc.subject05A15
dc.titleA classification of plane and planar 2-trees
dc.typetext

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