Published June 7, 2017 | Version v1
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Flips in combinatorial pointed pseudo-triangulations with face degree at most four

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In this paper we consider the flip operation for combinatorial pointed pseudo-triangulations where faces have size 3 or 4, so-called combinatorial 4-PPTs. We show that every combinatorial 4-PPT is stretchable to a geometric pseudo-triangulation, which in general is not the case if faces may have size larger than 4. Moreover, we prove that the flip graph of combinatorial 4-PPTs with triangular outer face is connected and has diameter O(n2).

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European Science Foundation

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Austrian Science Fund

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Ministerio de Ciencia e Innovación

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Junta de Castilla y León

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URL
https://idus.us.es/handle/11441/61091
URN
urn:oai:idus.us.es:11441/61091

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