Isomorphism-free lexicographic enumeration of triangulated surfaces and 3-manifolds

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dc.creatorSulanke, Thom
dc.creatorLutz, Frank H.
dc.date2006-09-30
dc.date2007-05-21
dc.date.accessioned2026-07-07T08:02:21Z
dc.date.available2026-07-07T08:02:21Z
dc.descriptionWe present a fast enumeration algorithm for combinatorial 2- and 3-manifolds. In particular, we enumerate all triangulated surfaces with 11 and 12 vertices and all triangulated 3-manifolds with 11 vertices. We further determine all equivelar polyhedral maps on the non-orientable surface of genus 4 as well as all equivelar triangulations of the orientable surface of genus 3 and the non-orientable surfaces of genus 5 and 6.
dc.description24 pages, revised section on equivelar surfaces, to appear in Eur. J. Comb
dc.identifierhttps://arxiv.org/abs/math/0610022
dc.identifierhttp://arxiv.org/abs/math/0610022
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/129210
dc.subjectCombinatorics
dc.subject57Q15; 05C30; 52B22
dc.titleIsomorphism-free lexicographic enumeration of triangulated surfaces and 3-manifolds
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