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A generalization of Spitzer's combinatorial lemma

✍ Scribed by H. D. Brunk


Publisher
Springer
Year
1964
Tongue
English
Weight
689 KB
Volume
2
Category
Article
ISSN
1432-2064

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We prove the following conjecture of Atanassov (Studia Sci. Math. Hungar. 32 (1996), 71-74). Let T be a triangulation of a d-dimensional polytope P with n vertices v 1 ; v 2 ; . . . ; v n : Label the vertices of T by 1; 2; . . . ; n in such a way that a vertex of T belonging to the interior of a fac