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Can I read Sperner labellings: A combinatorial approach on EtoBox?
Sperner labellings: A combinatorial approach by Frédéric Meunier is a Mathematics article available to read on EtoBox.
What is Sperner labellings: A combinatorial approach about?
In 2002, De Loera, Peterson and Su proved the following conjecture of Atanassov: 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 face F of P can only be labelled by j if v j is on F ; then there are at least nd simplices labelled with d + 1 different labels. We prove a generalisation of this theorem which refines this lower bound and which is valid for a larger class of objects.
Who reads Sperner labellings: A combinatorial approach?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Frédéric Meunier
- Publisher
- Elsevier Science; Elsevier ; Elsevier Inc.; Elsevier BV (ISSN 0097-3165)
- Published
- 2006
- Language
- EN
- Field
- Mathematics (Physical Sciences)