Diagonal Flips in Hamiltonian Triangulations on the Sphere

Ryuichi Mori, Atsuhiro Nakamoto, Katsuhiro Ota

Research output: Contribution to journalArticle

20 Citations (Scopus)

Abstract

In this paper, we shall prove that any two Hamiltonian triangulations on the sphere with n ≥ 5 vertices can be transformed into each other by at most 4n - 20 diagonal flips, preserving the existence of Hamilton cycles. Moreover, using this result, we shall prove that at most 6n - 30 diagonal flips are needed for any two triangulations on the sphere with n vertices to transform into each other.

Original languageEnglish
Pages (from-to)413-418
Number of pages6
JournalGraphs and Combinatorics
Volume19
Issue number3
DOIs
Publication statusPublished - 2003

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Hamiltonians
Triangulation
Flip
Hamilton Cycle
Transform

ASJC Scopus subject areas

  • Mathematics(all)
  • Discrete Mathematics and Combinatorics

Cite this

Diagonal Flips in Hamiltonian Triangulations on the Sphere. / Mori, Ryuichi; Nakamoto, Atsuhiro; Ota, Katsuhiro.

In: Graphs and Combinatorics, Vol. 19, No. 3, 2003, p. 413-418.

Research output: Contribution to journalArticle

Mori, Ryuichi ; Nakamoto, Atsuhiro ; Ota, Katsuhiro. / Diagonal Flips in Hamiltonian Triangulations on the Sphere. In: Graphs and Combinatorics. 2003 ; Vol. 19, No. 3. pp. 413-418.
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