On the number of pseudo-triangulations of certain point sets

O. Aichholzer, D. Orden, F. Santos, B. Speckmann

Research output: Contribution to journalArticleAcademicpeer-review

10 Citations (Scopus)

Abstract

We pose a monotonicity conjecture on the number of pseudo-triangulations of any planar point set, and check it on two prominent families of point sets, namely the so-called double circle and double chain. The latter has asymptotically 12n nT(1) pointed pseudo-triangulations, which lies significantly above the maximum number of triangulations in a planar point set known so far.
Original languageEnglish
Pages (from-to)254-278
JournalJournal of Combinatorial Theory, Series A
Volume115
Issue number2
DOIs
Publication statusPublished - 2008

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