Acute and nonobtuse triangulations of polyhedral surfaces

Shubhangi Saraf

doi:10.1016/j.ejc.2008.08.004

Acute and nonobtuse triangulations of polyhedral surfaces

Shubhangi Saraf

Research output: Contribution to journal › Article › peer-review

18 Scopus citations

Abstract

In this paper, we prove the existence of acute triangulations for general polyhedral surfaces. We also show how to obtain nonobtuse subtriangulations of triangulated polyhedral surfaces.

Original language	English (US)
Pages (from-to)	833-840
Number of pages	8
Journal	European Journal of Combinatorics
Volume	30
Issue number	4
DOIs	https://doi.org/10.1016/j.ejc.2008.08.004
State	Published - May 2009
Externally published	Yes

All Science Journal Classification (ASJC) codes

Discrete Mathematics and Combinatorics

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10.1016/j.ejc.2008.08.004

Cite this

@article{904e332f5a6a4254b5389287b77cb54b,

title = "Acute and nonobtuse triangulations of polyhedral surfaces",

abstract = "In this paper, we prove the existence of acute triangulations for general polyhedral surfaces. We also show how to obtain nonobtuse subtriangulations of triangulated polyhedral surfaces.",

author = "Shubhangi Saraf",

note = "Funding Information: Thanks to Prof. Igor Pak for posing the problem and for many valuable discussions. Thanks to the UROP department at MIT for funding the summer research. Thanks also to the anonymous referees for many helpful suggestions for improving the presentation of the paper.",

year = "2009",

month = may,

doi = "10.1016/j.ejc.2008.08.004",

language = "English (US)",

volume = "30",

pages = "833--840",

journal = "European Journal of Combinatorics",

issn = "0195-6698",

publisher = "Academic Press Inc.",

number = "4",

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AU - Saraf, Shubhangi

N1 - Funding Information: Thanks to Prof. Igor Pak for posing the problem and for many valuable discussions. Thanks to the UROP department at MIT for funding the summer research. Thanks also to the anonymous referees for many helpful suggestions for improving the presentation of the paper.

PY - 2009/5

Y1 - 2009/5

N2 - In this paper, we prove the existence of acute triangulations for general polyhedral surfaces. We also show how to obtain nonobtuse subtriangulations of triangulated polyhedral surfaces.

AB - In this paper, we prove the existence of acute triangulations for general polyhedral surfaces. We also show how to obtain nonobtuse subtriangulations of triangulated polyhedral surfaces.

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U2 - 10.1016/j.ejc.2008.08.004

DO - 10.1016/j.ejc.2008.08.004

M3 - Article

AN - SCOPUS:60949092530

SN - 0195-6698

VL - 30

SP - 833

EP - 840

JO - European Journal of Combinatorics

JF - European Journal of Combinatorics

IS - 4

ER -

Acute and nonobtuse triangulations of polyhedral surfaces

Abstract

All Science Journal Classification (ASJC) codes

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