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compgeom.bib
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%% This BibTeX bibliography file was created using BibDesk.
%% http://bibdesk.sourceforge.net/
%% Created for Jeff Erickson at 2024-05-29 18:41:24 -0500
%% Saved with string encoding Unicode (UTF-8)
@article{ta-chapi-82,
author = {Toussaint, Gottfried T. and Avis, David},
comments = {The three-penny algorithm computes the convex hull of weakly externally visible and/or edge-visible polygons.},
date-added = {2024-05-29 18:37:44 -0500},
date-modified = {2024-05-29 18:39:08 -0500},
doi = {10.1016/0031-3203(82)90057-7},
journal = {Pattern Recogn.},
keywords = {polygons, triangulation, convex hull},
number = {1},
pages = {23--29},
title = {On a convex hull algorithm for polygons and its application to triangulation problems},
volume = {15},
year = {1982},
bdsk-url-1 = {https://doi.org/10.1016/0031-3203(82)90057-7}}
@article{a-readc-78,
author = {Anderson, Kenneth R.},
comments = {Graham's scan but using slopes instead of angles},
date-added = {2024-05-29 18:34:23 -0500},
date-modified = {2024-05-29 18:40:26 -0500},
doi = {10.1016/0020-0190(78)90041-8},
journal = {Inform. Process. Lett.},
number = {1},
pages = {53--55},
title = {A reevaluation of an efficient algorithm for determining the convex hull of a finite planar set},
volume = {7},
year = {1978},
bdsk-url-1 = {https://doi.org/10.1016/0020-0190(78)90041-8}}
@article{gs-ngcha-87,
author = {Gries, David and Stojmenovi{\'c}, Ivan},
comments = {Variant of Graham's scan that pivots around an extreme point instead of an interior point; fixes bugs in several published variants},
date-added = {2024-05-29 18:29:40 -0500},
date-modified = {2024-05-29 18:40:50 -0500},
doi = {10.1016/0020-0190(87)90207-9},
journal = {Inform. Process. Lett.},
pages = {323--327},
title = {A note on {Graham}'s convex hull algorithm},
volume = {25},
year = {1987},
bdsk-url-1 = {https://doi.org/10.1016/0020-0190(87)90207-9}}
@article{g-eadch-72,
annote = {$O(n \log n)$ time, polar sorting},
author = {Graham, Ronald L.},
date-added = {2024-05-29 18:28:31 -0500},
date-modified = {2024-05-29 18:40:18 -0500},
doi = {10.1016/0020-0190(72)90045-2},
journal = {Inform. Proc. Lett.},
keywords = {Graham scan, three-penny algorithm},
number = {4},
pages = {132--133},
title = {An efficient algorithm for determining the convex hull of a finite planar set},
volume = {1},
year = {1972},
bdsk-url-1 = {https://doi.org/10.1016/0020-0190(72)90045-2}}
@article{s-mcrm-72,
author = {Sklansky, Jack},
date-added = {2024-05-29 18:26:43 -0500},
date-modified = {2024-05-29 18:40:59 -0500},
doi = {10.1109/T-C.1972.223507},
journal = {IEEE Trans. Comput.},
keywords = {three-penny algorithm (see also Graham, Avis-Toussaint)},
number = {12},
pages = {1355--1364},
title = {Measuring concavity on rectangular mosaic},
volume = {C-21},
year = {1972},
bdsk-url-1 = {https://doi.org/10.1109/T-C.1972.223507}}
@article{kkk-tgrfw-83,
author = {Kahn, Jeff and Klawe, Maria M. and Kleitman, Daniel},
date-added = {2023-03-15 17:38:23 -0500},
date-modified = {2023-03-15 17:41:49 -0500},
doi = {doi.org/10.1137/060402},
journal = {SIAM J. Algebraic Discrete Methods},
number = {2},
pages = {194--206},
title = {Traditional galleries require fewer watchmen},
update = {96.09 agarwal, 94.05 devillers},
volume = {4},
year = {1983},
bdsk-url-1 = {https://doi.org/10.1137/060402}}
@article{ll-ccagp-86,
author = {Lee, Der-Tsai and Lin, Arthur K.},
date-added = {2023-03-15 17:34:12 -0500},
date-modified = {2023-03-15 17:35:28 -0500},
doi = {10.1109/TIT.1986.1057165},
journal = {IEEE Trans. Inform. Theory},
number = {2},
pages = {276--282},
title = {Computational complexity of art gallery problems},
volume = {32},
year = {1986},
bdsk-url-1 = {https://doi.org/10.1109/TIT.1986.1057165}}
@article{ks-tbcds-02,
author = {Keil, Mark and Snoeyink, Jack},
date-added = {2021-11-26 15:15:40 -0600},
date-modified = {2021-11-26 15:15:40 -0600},
doi = {10.1142/S0218195902000803},
journal = {Int. J. Comput. Geom. Appl.},
number = {3},
pages = {181--192},
title = {On the time bound for convex decomposition of simple polygons},
volume = {12},
year = {2002},
bdsk-url-1 = {https://doi.org/10.1142/S0218195902000803}}
@article{k-dpisc-85,
author = {Keil, Mark},
date-added = {2021-11-26 15:15:40 -0600},
date-modified = {2021-11-26 15:15:40 -0600},
doi = {10.1137/0214056},
journal = {{SIAM} J. Comput.},
number = {4},
pages = {799--814},
title = {Decomposing a Polygon into Simpler Components},
volume = {14},
year = {1985},
bdsk-url-1 = {https://doi.org/10.1137/0214056}}
@incollection{cd-ocd-85,
author = {Chazelle, Bernard and Dobkin, David},
booktitle = {Computational Geometry},
date-added = {2021-11-26 15:15:40 -0600},
date-modified = {2021-11-26 15:15:40 -0600},
doi = {10.1016/B978-0-444-87806-9.50009-8},
editor = {Toussaint, Godfried T.},
number = {2},
pages = {63--133},
publisher = {Elsevier},
series = {Machine Intelligence and Pattern Recognition},
title = {Optimal Convex Decompositions},
year = {1985},
bdsk-url-1 = {https://doi.org/10.1016/B978-0-444-87806-9.50009-8}}
@inproceedings{cd-dpicp-79,
author = {Chazelle, Bernard and Dobkin, David},
booktitle = {Proc. 11th Ann. ACM Symp. Theory Comput.},
date-added = {2021-11-26 15:15:40 -0600},
date-modified = {2021-11-26 15:15:40 -0600},
doi = {10.1145/800135.804396},
pages = {38--48},
title = {Decomposing a polygon into its convex parts},
year = {1979},
bdsk-url-1 = {https://doi.org/10.1145/800135.804396}}
@phdthesis{c-cgc-80,
author = {Chazelle, Bernard Marie},
date-added = {2021-11-26 15:15:40 -0600},
date-modified = {2021-11-26 15:15:40 -0600},
note = {Technical Report CMU-CS-80150, Carnegie Mellon Univ.},
school = {Yale Univ.},
title = {Computational Geometry and Convexity},
url = {https://www.cs.princeton.edu/~chazelle/pubs/PhD.pdf},
year = {1980},
bdsk-url-1 = {https://www.cs.princeton.edu/~chazelle/pubs/PhD.pdf}}
@article{hm-ftpwr-85,
author = {Hertel, Stefan and Mehlhorn, Kurt},
comments = {4-approx optimal convex decomposition (via diagonals)},
date-added = {2021-11-26 15:15:40 -0600},
date-modified = {2021-11-26 15:15:40 -0600},
doi = {10.1016/S0019-9958(85)80044-9},
journal = {Inf. Control},
number = {1--3},
pages = {52--76},
title = {Fast triangulation of the plane with respect to simple polygons},
volume = {64},
year = {1985},
bdsk-url-1 = {https://doi.org/10.1016/S0019-9958(85)80044-9}}
@incollection{g-dpicp-83,
author = {Greene, Daniel H.},
booktitle = {Computational Geometry},
comments = {Convex decomposition via diagonals in O(n^2 r^2) time; 4-approx via triangulation. No online version, publisher out of business.},
date-added = {2021-11-26 15:15:40 -0600},
date-modified = {2021-11-26 15:18:58 -0600},
editor = {Preparata, Franco P.},
publisher = {JAI Press},
series = {Advances in Computing Research},
title = {The decomposition of polygons into convex parts},
volume = {1},
year = {1983}}
@article{iim-vdlga-85,
author = {Imai, Hiroshi and Iri, Masao and Murota, Kazuo},
date-added = {2020-07-26 09:17:38 -0500},
date-modified = {2020-07-26 09:19:05 -0500},
doi = {doi.org/10.1137/0214006},
journal = {SIAM J. Comput.},
keywords = {power diagram},
number = {1},
pages = {93--105},
title = {Voronoi diagram in the {Laguerre} geometry and its applications},
volume = {14},
year = {1985},
bdsk-url-1 = {https://doi.org/10.1137/0214006}}
@article{m-dspce-94,
author = {McMullen, Peter},
date-added = {2020-07-23 12:27:54 -0500},
date-modified = {2020-07-23 12:28:37 -0500},
journal = {Geom. Dedicata},
pages = {183--202},
title = {Duality, sections and projections of certain {Euclidean} tilings},
volume = {49},
year = {1994}}
@incollection{m-cvdsp-98,
address = {Kyiv},
arxiv = {math/0312052},
author = {Musin, Oleg R.},
booktitle = {Voronoi's Impact on Modern Science},
date-added = {2020-07-18 18:43:45 -0500},
date-modified = {2020-07-18 18:49:31 -0500},
editor = {Engel, Peter and Syta, Halyna},
pages = {105--114},
publisher = {Institute of Mathematics of the National Academy of Sciences of Ukraine},
title = {Construction of the {Voronoi} diagram and secondary polytope},
update = {00.11 smid},
volume = {2},
year = {1998}}
@inproceedings{m-pdt-97,
author = {Musin, Oleg R.},
booktitle = {Proc. 13th Ann. Symp. Comput. Geom.},
date-added = {2020-07-18 18:30:03 -0500},
date-modified = {2020-07-18 18:38:35 -0500},
doi = {10.1145/262839.263061},
pages = {424--426},
title = {Properties of the {Delaunay} Triangulation},
year = {1997},
bdsk-url-1 = {https://doi.org/10.1145/262839.263061}}
@article{egmn-vfmdtp-17,
author = {Edelsbrunner, Herbert and Glazyrin, Alexey and Musin, Oleg R. and Nikitenko, Anton},
date-added = {2020-07-18 18:28:03 -0500},
date-modified = {2020-07-18 18:29:33 -0500},
doi = {10.1007/s00493-016-3308-y},
journal = {Combinatorica},
number = {5},
pages = {887--910},
title = {The {Voronoi} functional is maximized by the {Delaunay} triangulation in the plane},
volume = {37},
year = {2017},
bdsk-url-1 = {https://doi.org/10.1007/s00493-016-3308-y}}
@article{v-napct3-09,
author = {Vorono{\"\i}, Georges F.},
date-added = {2020-07-18 17:25:20 -0500},
date-modified = {2020-07-18 17:25:50 -0500},
journal = {J.~Reine Angew. Math.},
pages = {67--182},
title = {Nouvelles applications des param{\`e}tres continus {\`a} la th{\'e}orie des formes quadratiques. {Deuxi{\`e}me} m{\'e}moire. {Recherches} sur les parall{\'e}llo{\`e}dres primitifs.},
url = {https://eudml.org/doc/149311},
volume = {136},
year = {1909},
bdsk-url-1 = {http://eudml.org/doc/149276}}
@article{v-napct2-08,
author = {Vorono{\"\i}, Georges F.},
comments = {paraboloid lifting map},
date-added = {2020-07-18 17:23:45 -0500},
date-modified = {2020-07-18 17:35:43 -0500},
journal = {J.~Reine Angew. Math.},
pages = {198--287},
title = {Nouvelles applications des param{\`e}tres continus {\`a} la th{\'e}orie des formes quadratiques. {Deuxi{\`e}me} m{\'e}moire. {Recherches} sur les parall{\'e}llo{\`e}dres primitifs.},
url = {https://eudml.org/doc/149291},
volume = {134},
year = {1908},
bdsk-url-1 = {http://eudml.org/doc/149276}}
@article{v-napct1-08,
author = {Vorono{\"\i}, Georges F.},
date-added = {2020-07-18 17:15:03 -0500},
date-modified = {2020-07-18 17:23:31 -0500},
journal = {J.~Reine Angew. Math.},
pages = {97--178},
title = {Nouvelles applications des param{\`e}tres continus {\`a} la th{\'e}orie des formes quadratiques. {Premier} m{\'e}moire. {Sur} quelques propri{\'e}t{\'e}s des formes quadratiques positives parfaites},
url = {http://eudml.org/doc/149276},
volume = {133},
year = {1908},
bdsk-url-1 = {http://eudml.org/doc/149276}}
@article{degm-ftds-14,
author = {Dolbilin, Nikolai P. and Edelsbrunner, Herbert and Glazyrin, Alexey and Musin, Oleg R.},
comments = {Any functional that is optimal for finite Delaunay triangulations is also optimal for infinite Delaunay triangulations},
date-added = {2020-07-18 17:07:14 -0500},
date-modified = {2020-07-18 17:12:04 -0500},
journal = {Moscow Math. J.},
number = {3},
pages = {491--504},
title = {Functionals on triangulations of {Delaunay} sets},
url = {http://www.mathjournals.org/mmj/2014-014-003/2014-014-003-003.html},
volume = {14},
year = {2014},
bdsk-url-1 = {http://www.mathjournals.org/mmj/2014-014-003/2014-014-003-003.html}}
@book{drs-tsaa-10,
author = {De Loera, Jes{\'u}s and Rambau, J{\"o}rg and Santos, Francisco},
date-added = {2019-12-04 12:54:37 -0600},
date-modified = {2019-12-04 13:04:40 -0600},
doi = {10.1007/978-3-642-12971-1},
number = {25},
publisher = {Springer},
series = {Algorithms and Computation in Mathematics},
title = {Triangulations: Structures for Algorithms and Applications},
year = {2010},
bdsk-url-1 = {https://doi.org/10.1007/978-3-642-12971-1}}
@article{l-tt-72,
author = {Lawson, Charles L.},
date-added = {2019-12-04 12:51:03 -0600},
date-modified = {2019-12-04 12:51:50 -0600},
doi = {10.1016/0012-365X(72)90093-3},
journal = {Discrete Math.},
number = {4},
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abstract = {Two plane graphs with the same vertex set are compatible
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consisting of the same number of red and blue points, and
(perfect) matchings which are compatible to them. For
several different classes $\mathcal{C}$ of graphs, we
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$G(S) \in \mathcal{C}$ admits a compatible (perfect)
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author = {Aichholzer, Oswin and Hurtado, Ferran and Vogtenhuber, Birgit},
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author = {{Wikipedia contributors}},
booktitle = {Wikipedia, The Free Encyclopedia},
date-added = {2014-07-20 15:23:40 +0000},
date-modified = {2014-07-20 15:23:40 +0000},
note = {Last accessed June 26, 2014},
title = {Simple polygon},
url = {http://en.wikipedia.org/wiki/Simple_polygon},
bdsk-url-1 = {http://en.wikipedia.org/wiki/Simple_polygon}}
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year = {2014}}
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date-added = {2013-10-29 04:14:03 +0000},
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title = {Convex Polytopes},
year = {1967}}
@incollection{r-gbp-99,
author = {Reiner, Victor},
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date-added = {2013-08-02 16:31:38 +0000},
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editor = {Billera, Louis J. and Bj{\"o}rner, Anders and Greene, Curtis and Simion, Rodica E. and Stanley, Richard P.},
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publisher = {MSRI Publications},
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volume = {38},
year = {1999}}
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comments = {cube flips (implicit)},
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volume = {135},
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volume = {4},
year = {1989}}
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title = {Linear-time algorithms for visibility and shortest path problems inside triangulated simple polygons},
volume = {2},
year = {1987},
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author = {Edelsbrunner, Herbert and Guibas, Leonidas and Hershberger, John and Seidel, Raimund and Sharir, Micha and Snoeyink, Jack and Welzl, Emo},
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journal = {Discrete Comput. Geom.},
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volume = {10},
year = {1993}}
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author = {Matou{\v s}ek, Ji{\v r}{\'\i}},
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journal = {Discrete Comput. Geom.},
pages = {315--334},
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volume = {8},
year = {1992}}
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author = {Agarwal, Pankaj K. and Sharir, Micha},
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journal = {Discrete Comput. Geom.},
number = {1},
pages = {11--38},
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title = {Applications of a new space-partitioning technique},
volume = {9},
year = {1993}}
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author = {Matou{\v s}ek, Ji{\v r}{\'\i}},
date-added = {2013-02-08 20:50:48 +0000},
date-modified = {2013-02-08 21:04:37 +0000},
institution = {Freie Univ. Berlin},
month = {February},
number = {B-90-2},
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type = {{Tech. Rep.}},
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author = {Agarwal, Pankaj K.},
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journal = {SIAM J. Comput.},
number = {3},
pages = {540--570},
read = {1},
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volume = {21},
year = {1992}}
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author = {Matou{\v s}ek, Ji{\v r}{\'\i}},
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journal = {RAIRO Inform. Th{\'e}or. Appl.},
number = {2},
pages = {103--123},
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volume = {25},
year = {1991}}
@incollection{w-stlcn-92,
author = {Welzl, Emo},
booktitle = {Data Structures and Efficient Algorithms: {Final} Report on the {DFG} Special Joint Initiative},
date-added = {2013-02-08 20:14:52 +0000},
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editor = {Monien, Burkhard and Ottmann, Thomas},
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publisher = {Springer},
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