Planar triangulations which quadrangulate other surfaces

Atsuhiro Nakamoto, Seiya Negami, Katsuhiro Ota, Jozef Širáň

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

We shall show that for any closed surface F2 except the sphere, there is a triangulation on the sphere which can be embedded on F2 as a quadrangulation, and characterize those 5-connected triangulations on the sphere that quadrangulate other closed surfaces, discussing double 4-cycle covers of triangulations.

Original languageEnglish
Pages (from-to)817-833
Number of pages17
JournalEuropean Journal of Combinatorics
Volume25
Issue number6
DOIs
Publication statusPublished - 2004 Aug 1

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics

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