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JCT
2006
75views more  JCT 2006»
13 years 9 months ago
Sperner labellings: A combinatorial approach
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 v1, v2, . . . , vn; label t...
Frédéric Meunier
EJC
2008
13 years 9 months ago
Equivelar maps on the torus
Abstract. We give a classification of all equivelar polyhedral maps on the torus. In particular, we classify all triangulations and quadrangulations of the torus admitting a vertex...
Ulrich Brehm, Wolfgang Kühnel
CORR
2007
Springer
132views Education» more  CORR 2007»
13 years 9 months ago
Nodally 3-connected planar graphs and convex combination mappings
A barycentric mapping of a planar graph is a plane embedding in which every internal vertex is the average of its neighbours. A celebrated result of Tutte’s [16] is that if a pl...
Colm Ó'Dúnlaing
DM
2010
127views more  DM 2010»
13 years 9 months ago
Enumeration and limit laws of dissections on a cylinder
We compute the generating function for triangulations on a cylinder, with the restriction that all vertices belong to its boundary and that the intersection of a pair of different ...
Juanjo Rué
ESANN
2006
13 years 10 months ago
Topological Correlation
Quantifying the success of the topographic preservation achieved with a neural map is difficult. In this paper we present Topological Correlation, Tc, a method that assesses the de...
Kevin Doherty, Rod Adams, Neil Davey