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A counterexample to the generalization of Sperner's theorem

✍ Scribed by R.P Dilworth; Curtis Greene


Book ID
107884736
Publisher
Elsevier Science
Year
1971
Tongue
English
Weight
215 KB
Volume
10
Category
Article
ISSN
0097-3165

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A Polytopal Generalization of Sperner's
✍ Jesus A. De Loera; Elisha Peterson; Francis Edward Su πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 235 KB

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