Helly type theorems for the sum of vectors in a normed plane

Author:

Bárány Imre,Jerónimo-Castro Jesús

Funder

Hungarian–Mexican Intergovernmental S&T Cooperation Programme

NIH

ERC

Hungarian National Research

Publisher

Elsevier BV

Subject

Discrete Mathematics and Combinatorics,Geometry and Topology,Numerical Analysis,Algebra and Number Theory

Reference5 articles.

1. 2013 unit vectors in the plane;Bárány;Discrete Math.,2013

2. Über den Variabilitätsbereich der Koeffizienten von Potenzreihen, die gegebene Werte nicht annehmen;Carathéodory;Math. Ann.,1907

3. Über Mengen konvexer Körper mit gemeinschaftlichen Punkten;Helly;Jahresber. Deutsch. Math.-Verein.,1923

4. Helly's Theorem and Its Relatives;Danzer,1963

5. Balancing unit vectors;Swanepoel;J. Combin. Theory Ser. A,2000

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Additive colourful Carathéodory type results with an application to radii;Linear Algebra and its Applications;2018-10

2. Helly’s theorem: New variations and applications;Algebraic and Geometric Methods in Discrete Mathematics;2017

3. Small subset sums;Linear Algebra and its Applications;2016-06

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