An arc graph distance formula for the flip graph

Funda Gültepe; Christopher J. Leininger

doi:10.1090/proc/13451

An arc graph distance formula for the flip graph

Funda Gültepe, Christopher J. Leininger

Mathematics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English (US)
Pages (from-to)	3179-3184
Number of pages	6
Journal	Proceedings of the American Mathematical Society
Volume	145
Issue number	7
DOIs	https://doi.org/10.1090/proc/13451
State	Published - 2017

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

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10.1090/proc/13451

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title = "An arc graph distance formula for the flip graph",

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.",

author = "Funda G{\"u}ltepe and Leininger, {Christopher J.}",

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N1 - Funding Information: The second author was partially supported by NSF grant DMS-1510034.The authors thank Valentina Disarlo, Hugo Parlier, and Kasra Rafi for useful conversations, and the referee for pointing out a few errors. Publisher Copyright: © 2017 American Mathematical Society.

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An arc graph distance formula for the flip graph

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