Random Surfaces with Boundary

C. Even-Zohar, M. Farber

Research output: Contribution to journalArticlepeer-review


A surface with boundary is randomly generated by gluing polygons along some of their sides. We show that its genus and number of boundary components asymptotically follow a bivariate normal distribution.

Original languageAmerican English
Pages (from-to)1463-1469
Number of pages7
JournalDiscrete and Computational Geometry
Issue number4
StatePublished - Dec 2021


  • Boundary components
  • Genus
  • Gluing

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Geometry and Topology
  • Discrete Mathematics and Combinatorics
  • Computational Theory and Mathematics


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