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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9doi.org

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ams.org

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.

arxiv.org

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 (2019-08-28). "Theorems of Carathéodory, Helly, and Tverberg without dimension". arXiv:1806.08725 [math.MG].
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

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

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.
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

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

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

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.