Flips in combinatorial pointed pseudo-triangulations with face degree at most four
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F14%3A43925556" target="_blank" >RIV/49777513:23520/14:43925556 - isvavai.cz</a>
Result on the web
<a href="http://www.worldscientific.com/doi/abs/10.1142/S0218195914600036" target="_blank" >http://www.worldscientific.com/doi/abs/10.1142/S0218195914600036</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1142/S0218195914600036" target="_blank" >10.1142/S0218195914600036</a>
Alternative languages
Result language
angličtina
Original language name
Flips in combinatorial pointed pseudo-triangulations with face degree at most four
Original language description
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 ingeneral is not the case if faces may have size larger than 4. Moreover, we prove that the flip graph of combinatorial 4-PPTs is connected and has diameter $O(n^2)$, even in the case of labeled vertices with fi xed outer face. For this case we provide an$Omega(n log n)$ lower bound.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/EE2.3.30.0038" target="_blank" >EE2.3.30.0038: New excellence in human resources</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
INTERNATIONAL JOURNAL OF COMPUTATIONAL GEOMETRY & APPLICATIONS
ISSN
0218-1959
e-ISSN
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Volume of the periodical
24
Issue of the periodical within the volume
3
Country of publishing house
SG - SINGAPORE
Number of pages
28
Pages from-to
197-224
UT code for WoS article
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EID of the result in the Scopus database
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