Inclusion–Exclusion Principles for Convex Hulls and the Euler Relation

Author:

Kabluchko ZakharORCID,Last Günter,Zaporozhets Dmitry

Publisher

Springer Science and Business Media LLC

Subject

Computational Theory and Mathematics,Discrete Mathematics and Combinatorics,Geometry and Topology,Theoretical Computer Science

Reference15 articles.

1. Affentranger, F.: Generalization of a formula of C. Buchta about the convex hull of random points. Elem. Math. 43(2), 39–45 (1988)

2. Affentranger, F.: Remarks on the note: “Generalization of a formula of C. Buchta about the convex hull of random points”. Elem. Math. 43(5), 151–152 (1988)

3. Badertscher, E.: An explicit formula about the convex hull of random points. Elem. Math. 44(4), 104–106 (1989)

4. Beermann, M., Reitzner, M.: Beyond the Efron–Buchta identities: distributional results for Poisson polytopes. Discrete Comput. Geom. 53(1), 226–244 (2015)

5. Buchta, C.: On a conjecture of R.E. Miles about the convex hull of random points. Monatsh. Math. 102(2), 91–102 (1986)

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