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EJC
2010
13 years 10 months ago
A linear equation for Minkowski sums of polytopes relatively in general position
The objective of this paper is to study a special family of Minkowski sums, that is of polytopes relatively in general position. We show that the maximum number of faces in the su...
Komei Fukuda, Christophe Weibel
EJC
2010
13 years 10 months ago
Packing sets of patterns
Packing density is a permutation occurrence statistic which describes the maximal number of permutations of a given type that can occur in another permutation. In this article we ...
Alexander Burstein, Peter Hästö
EJC
2010
13 years 10 months ago
Maps admitting trialities but not dualities
We use group theory to construct infinite families of maps on surfaces which are invariant under Wilson's map operations of order 3 but not under the operations of order 2, s...
Gareth A. Jones, Andrew Poulton
EJC
2010
13 years 10 months ago
On graphs isomorphic to their neighbour and non-neighbour sets
The paper contains a construction of a universal countable graph, different from the Rado graph, such that for any of its vertices both the neighbourhood and the non-neighbourhood ...
Przemyslaw Gordinowicz
EJC
2010
13 years 10 months ago
Discrete piecewise linear functions
The concept of permutograph is introduced and properties of integral functions on permutographs are established. The central result characterizes the class of integral functions t...
Sergei Ovchinnikov