Counting unlabelled toroidal graphs with no K33-subdivisions

dc.creatorGagarin, Andrei
dc.creatorLabelle, Gilbert
dc.creatorLeroux, Pierre
dc.date2005-09-01
dc.date2006-09-25
dc.date.accessioned2026-07-07T09:36:46Z
dc.date.available2026-07-07T09:36:46Z
dc.descriptionWe provide a description of unlabelled enumeration techniques, with complete proofs, for graphs that can be canonically obtained by substituting 2-pole networks for the edges of core graphs. Using structure theorems for toroidal and projective-planar graphs containing no K33-subdivisions, we apply these techniques to obtain their unlabelled enumeration.
dc.description25 pages (some corrections), 4 figures (one figure added), 3 tables
dc.identifierhttps://arxiv.org/abs/math/0509004
dc.identifierhttp://arxiv.org/abs/math/0509004
dc.identifierAdv. in Appl. Math. 39 (2007), no. 1, pp. 51-75
dc.identifierdoi:10.1016/j.aam.2006.05.006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/160233
dc.subjectCombinatorics
dc.subjectDiscrete Mathematics
dc.subject05A15, 05C30 (Primary); 05C70, 05C75, 05C38 (Secondary)
dc.titleCounting unlabelled toroidal graphs with no K33-subdivisions
dc.typetext

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