2012-04-01, English, Article, Journal or magazine article edition: Enumerating simplicial decompositions of surfaces with boundaries. Bernardi, Olivier; Rue, Juanjo

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Physical Description
  • Magazine/​Journal article
Published
  • Elsevier B.V., 2012 April
Language
  • English

Edition details

Title
  • Enumerating simplicial decompositions of surfaces with boundaries.
Appears In
  • European Journal of Combinatorics, v.33, no.3, 2012 April, p.302(24) (ISSN: 0195-6698)
Author
  • Bernardi, Olivier
  • Rue, Juanjo
Published
  • Elsevier B.V., 2012 April
Physical Description
  • Magazine/​Journal article
Subjects
Target Audience
  • Academic
Summary
  • To link to full-text access for this article, visit this link: http:/​/​dx.doi.org/​10.1016/​j.ejc.2011.09.010 Byline: Olivier Bernardi, Juanjo Rue Abstract: It is well-known that the triangulations of the disc with n+2 vertices on its boundary are counted by the nth Catalan number C(n)=1/n+1(2n n). This paper deals with the generalisation of this problem to any compact surface S with boundaries. We obtain the asymptotic number of simplicial decompositions of the surface S with n vertices on its boundary. More generally, we determine the asymptotic number of dissections of S when the faces are [delta]-gons with [delta] belonging to a set of admissible degrees [DELTA][subset]{3,4,5,...}. We also give the limit laws for certain parameters of such dissections.
Terms of Use
  • COPYRIGHT 2012 Elsevier B.V.
Language
  • English
Database
  • Gale Academic OneFile
Identifier
  • 276097496

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