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Neighbourliness and Radon's theorem

Published online by Cambridge University Press:  26 February 2010

G. C. Shephard
G. C. Shephard
Affiliation:
The University of East Anglia, Norwich.
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Extract

Let X be a finite set of points in Ed. Then a partition of X into two non-empty subsets X1 and X2 (X1 ∪ X2 = X, X1 ∩ X2 = ∅) will be called a Radon partition if

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Type
Research Article
Information
Mathematika , Volume 16 , Issue 2 , December 1969 , pp. 273 - 275
Copyright
Copyright © University College London 1969

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References

1.Gale, D., “Neighbouring vertices on a convex polyhedron”. In Linear Inequalities and Related Systems (Princeton, 1956), 255–263.Google Scholar
2.Grünbaum, B., Convex Polytopes (London-New York-Sydney, 1967).Google Scholar
3.Reay, J. R., “An extension of Radon's theorem”, Illinois J. Math., 12(1968), 184–189.CrossRefGoogle Scholar