Israel J. Math.

1992

DOI: 10.1007/bf02808223

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Tverberg’s theorem via number fields

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Introduction2

Problem 2 Does Conv(s P (A)) = C P (A) Hold For All P and E1

His Famous Theorem1

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Cited by 52 publications

(41 citation statements)

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“…Based on a recent result by Sarkaria (1992), the following statement is derived (see ?7 for the precise statement). * Theorem 7.2.…”

mentioning

confidence: 99%

Colourful Linear Programming and its Relatives

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²

1997

Mathematics of OR

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JSTOR is a not-for-profit service that helps scholars, researchers, and students discover, use, and build upon a wide range of content in a trusted digital archive. We use information technology and tools to increase productivity and facilitate new forms of scholarship. For more information about JSTOR, please contact support@jstor.org.. INFORMS COLOURFUL LINEAR PROGRAMMING AND ITS RELATIVES

“…Based on a recent result by Sarkaria (1992), the following statement is derived (see ?7 for the precise statement). * Theorem 7.2.…”

mentioning

confidence: 99%

Colourful Linear Programming and its Relatives

¹

,

²

1997

Mathematics of OR

View full text Add to dashboard Cite

JSTOR is a not-for-profit service that helps scholars, researchers, and students discover, use, and build upon a wide range of content in a trusted digital archive. We use information technology and tools to increase productivity and facilitate new forms of scholarship. For more information about JSTOR, please contact support@jstor.org.. INFORMS COLOURFUL LINEAR PROGRAMMING AND ITS RELATIVES

“…72, 2002 The Radon-split and the Helly-core of a point configuration 159 of this elegant theorem had been discovered in recent years, see [1,2,9] and references therein.…”

Section: Problem 2 Does Conv(s P (A)) = C P (A) Hold For All P and Ementioning

confidence: 99%

The Radon-split and the Helly-core of a point configuration

Onn¹

2001

Journal of Geometry

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We provide a systematic construction of point configurations with incompatible Radon-split and Helly-core. This provides a resolution of problems of Reay and Sierksma, and shows that it is computationally hard to decide the compatibility of the split and core of a configuration. (2000): 05A, 05B, 05C, 51M, 52A, 52B, 52C, 68Q, 68R, 68U, 90B, 90C. Mathematics Subject Classifications

“…The first is the Colorful Carathéodory Theorem [2] (only one color in the conclusion). The second, which is based on an idea of Sarkaria [7], is a necessary and sufficient condition for…”

Section: Introductionmentioning

confidence: 99%

Very Colorful Theorems

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et al. 2009

Discrete Comput Geom

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We prove several colorful generalizations of classical theorems in discrete geometry. Moreover, the colorful generalization of Kirchberger's theorem gives a generalization of the theorem of Tverberg on non-separated partitions.

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