Carathéodory's theorem (convex hull) (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Carathéodory's theorem (convex hull)" in English language version.

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11doi.org

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5semanticscholar.org

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4arxiv.org

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4worldcat.org

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2ams.org

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1springer.com

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1cambridge.org

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ams.org (Global: 451^st place; English: 277^th place)

mathscinet.ams.org

Lovász, László; Plummer, M. D. (1986). Matching Theory. Annals of Discrete Mathematics. Vol. 29. North-Holland. ISBN 0-444-87916-1. MR 0859549.
Adiprasito, Karim; Bárány, Imre; Mustafa, Nabil H.; Terpai, Tamás (2020). "Theorems of Carathéodory, Helly, and Tverberg without dimension". Discrete & Computational Geometry. 64 (2): 233–258. arXiv:1806.08725. doi:10.1007/s00454-020-00172-5. MR 4131545.

arxiv.org (Global: 69^th place; English: 59^th place)

Naszódi, Márton; Polyanskii, Alexandr (2021). "Perron and Frobenius Meet Carathéodory". The Electronic Journal of Combinatorics. 28 (3). arXiv:1901.00540. doi:10.37236/9996. S2CID 119656227.
Bárány, Imre; Karasev, Roman (2012-07-20). "Notes About the Carathéodory Number". Discrete & Computational Geometry. 48 (3): 783–792. arXiv:1112.5942. doi:10.1007/s00454-012-9439-z. ISSN 0179-5376. S2CID 9090617.
Adiprasito, Karim; Bárány, Imre; Mustafa, Nabil H.; Terpai, Tamás (2020). "Theorems of Carathéodory, Helly, and Tverberg without dimension". Discrete & Computational Geometry. 64 (2): 233–258. arXiv:1806.08725. doi:10.1007/s00454-020-00172-5. MR 4131545.
Meunier, Frédéric; Mulzer, Wolfgang; Sarrabezolles, Pauline; Stein, Yannik (2017-01-01), "The Rainbow at the End of the Line ? A PPAD Formulation of the Colorful Carathéodory Theorem with Applications", Proceedings of the 2017 Annual ACM-SIAM Symposium on Discrete Algorithms (SODA), Proceedings, Society for Industrial and Applied Mathematics, pp. 1342–1351, arXiv:1608.01921, doi:10.1137/1.9781611974782.87, ISBN 978-1-61197-478-2, S2CID 5784949

cambridge.org (Global: 305^th place; English: 264^th place)

ebooks.cambridge.org

Eggleston, H. G. (1958). Convexity. Cambridge University Press. doi:10.1017/cbo9780511566172. ISBN 9780511566172. {{cite book}}: ISBN / Date incompatibility (help) See pages 40–41.

doi.org (Global: 2^nd place; English: 2^nd place)

Carathéodory, C. (1911). "Über den Variabilitätsbereich der Fourier'schen Konstanten von positiven harmonischen Funktionen". Rendiconti del Circolo Matematico di Palermo (1884–1940) (in German). 32 (1): 193–217[see p.200 bottom]. doi:10.1007/BF03014795. S2CID 120032616.
Steinitz, Ernst (1913). "Bedingt konvergente Reihen und konvexe Systeme". J. Reine Angew. Math. 1913 (143): 128–175. doi:10.1515/crll.1913.143.128. S2CID 120411668.
Eggleston, H. G. (1958). Convexity. Cambridge University Press. doi:10.1017/cbo9780511566172. ISBN 9780511566172. {{cite book}}: ISBN / Date incompatibility (help) See pages 40–41.
Naszódi, Márton; Polyanskii, Alexandr (2021). "Perron and Frobenius Meet Carathéodory". The Electronic Journal of Combinatorics. 28 (3). arXiv:1901.00540. doi:10.37236/9996. S2CID 119656227.
Bárány, Imre; Karasev, Roman (2012-07-20). "Notes About the Carathéodory Number". Discrete & Computational Geometry. 48 (3): 783–792. arXiv:1112.5942. doi:10.1007/s00454-012-9439-z. ISSN 0179-5376. S2CID 9090617.
Barman, S. (2015). "Approximating Nash equilibria and dense bipartite subgraphs via an approximate version of Carathéodory's theorem". Proc. 47th Annu. ACM Sympos. Theory Comput. (STOC). Portland, OR: ACM. pp. 361–369. Retrieved 2023-11-09.
Adiprasito, Karim; Bárány, Imre; Mustafa, Nabil H.; Terpai, Tamás (2020). "Theorems of Carathéodory, Helly, and Tverberg without dimension". Discrete & Computational Geometry. 64 (2): 233–258. arXiv:1806.08725. doi:10.1007/s00454-020-00172-5. MR 4131545.
Bárány, Imre (1982-01-01). "A generalization of carathéodory's theorem". Discrete Mathematics. 40 (2–3): 141–152. doi:10.1016/0012-365X(82)90115-7. ISSN 0012-365X.
Montejano, Luis; Fabila, Ruy; Bracho, Javier; Bárány, Imre; Arocha, Jorge L. (2009-09-01). "Very Colorful Theorems". Discrete & Computational Geometry. 42 (2): 142–154. doi:10.1007/s00454-009-9180-4. ISSN 1432-0444.
Mustafa, Nabil H.; Ray, Saurabh (2016-04-06). "An optimal generalization of the Colorful Carathéodory theorem". Discrete Mathematics. 339 (4): 1300–1305. doi:10.1016/j.disc.2015.11.019. ISSN 0012-365X.
Meunier, Frédéric; Mulzer, Wolfgang; Sarrabezolles, Pauline; Stein, Yannik (2017-01-01), "The Rainbow at the End of the Line ? A PPAD Formulation of the Colorful Carathéodory Theorem with Applications", Proceedings of the 2017 Annual ACM-SIAM Symposium on Discrete Algorithms (SODA), Proceedings, Society for Industrial and Applied Mathematics, pp. 1342–1351, arXiv:1608.01921, doi:10.1137/1.9781611974782.87, ISBN 978-1-61197-478-2, S2CID 5784949

semanticscholar.org (Global: 11^th place; English: 8^th place)

api.semanticscholar.org

Carathéodory, C. (1911). "Über den Variabilitätsbereich der Fourier'schen Konstanten von positiven harmonischen Funktionen". Rendiconti del Circolo Matematico di Palermo (1884–1940) (in German). 32 (1): 193–217[see p.200 bottom]. doi:10.1007/BF03014795. S2CID 120032616.
Steinitz, Ernst (1913). "Bedingt konvergente Reihen und konvexe Systeme". J. Reine Angew. Math. 1913 (143): 128–175. doi:10.1515/crll.1913.143.128. S2CID 120411668.
Naszódi, Márton; Polyanskii, Alexandr (2021). "Perron and Frobenius Meet Carathéodory". The Electronic Journal of Combinatorics. 28 (3). arXiv:1901.00540. doi:10.37236/9996. S2CID 119656227.
Bárány, Imre; Karasev, Roman (2012-07-20). "Notes About the Carathéodory Number". Discrete & Computational Geometry. 48 (3): 783–792. arXiv:1112.5942. doi:10.1007/s00454-012-9439-z. ISSN 0179-5376. S2CID 9090617.
Meunier, Frédéric; Mulzer, Wolfgang; Sarrabezolles, Pauline; Stein, Yannik (2017-01-01), "The Rainbow at the End of the Line ? A PPAD Formulation of the Colorful Carathéodory Theorem with Applications", Proceedings of the 2017 Annual ACM-SIAM Symposium on Discrete Algorithms (SODA), Proceedings, Society for Industrial and Applied Mathematics, pp. 1342–1351, arXiv:1608.01921, doi:10.1137/1.9781611974782.87, ISBN 978-1-61197-478-2, S2CID 5784949

springer.com (Global: 274^th place; English: 309^th place)

link.springer.com

Carathéodory, C. (1911). "Über den Variabilitätsbereich der Fourier'schen Konstanten von positiven harmonischen Funktionen". Rendiconti del Circolo Matematico di Palermo (1884–1940) (in German). 32 (1): 193–217[see p.200 bottom]. doi:10.1007/BF03014795. S2CID 120032616.

worldcat.org (Global: 5^th place; English: 5^th place)

search.worldcat.org

Bárány, Imre; Karasev, Roman (2012-07-20). "Notes About the Carathéodory Number". Discrete & Computational Geometry. 48 (3): 783–792. arXiv:1112.5942. doi:10.1007/s00454-012-9439-z. ISSN 0179-5376. S2CID 9090617.
Bárány, Imre (1982-01-01). "A generalization of carathéodory's theorem". Discrete Mathematics. 40 (2–3): 141–152. doi:10.1016/0012-365X(82)90115-7. ISSN 0012-365X.
Montejano, Luis; Fabila, Ruy; Bracho, Javier; Bárány, Imre; Arocha, Jorge L. (2009-09-01). "Very Colorful Theorems". Discrete & Computational Geometry. 42 (2): 142–154. doi:10.1007/s00454-009-9180-4. ISSN 1432-0444.
Mustafa, Nabil H.; Ray, Saurabh (2016-04-06). "An optimal generalization of the Colorful Carathéodory theorem". Discrete Mathematics. 339 (4): 1300–1305. doi:10.1016/j.disc.2015.11.019. ISSN 0012-365X.

Carathéodory's theorem (convex hull) (English Wikipedia)

ams.org (Global: 451st place; English: 277th place)

mathscinet.ams.org

arxiv.org (Global: 69th place; English: 59th place)

cambridge.org (Global: 305th place; English: 264th place)