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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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An arc graph distance formula for the flip graph
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by Funda Gültepe and Christopher J. Leininger PDF
Proc. Amer. Math. Soc. 145 (2017), 3179-3184 Request permission

Abstract:

Using existing technology, we prove a Masur-Minsky style distance formula for flip-graph distance between two triangulations, expressed as a sum of the distances of the projections of these triangulations into arc graphs of the suitable subsurfaces of $S$.
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Additional Information
  • Funda Gültepe
  • Affiliation: Department of Mathematics, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801
  • Email: fgultepe@illinois.edu
  • Christopher J. Leininger
  • Affiliation: Department of Mathematics, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801
  • MR Author ID: 688414
  • Email: clein@math.uiuc.edu
  • Received by editor(s): January 29, 2016
  • Received by editor(s) in revised form: August 24, 2016
  • Published electronically: January 23, 2017
  • Additional Notes: The second author was partially supported by NSF grant DMS-1510034.
  • Communicated by: Kevin Whyte
  • © Copyright 2017 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 145 (2017), 3179-3184
  • MSC (2010): Primary 57M50; Secondary 57M15
  • DOI: https://doi.org/10.1090/proc/13451
  • MathSciNet review: 3637963