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19922026
most citedThe World of the Complex Ginzburg-Landau Equation

2k citations

Showing 2014 · math.COShow all

9 papers · 2 filters

math.CO2014★ 26 cited

Large sets of subspace designs

Michael Braun, Michael Kiermaier, Axel Kohnert +1

In this article, three types of joins are introduced for subspaces of a vector space. Decompositions of the Graßmannian into joins are discussed. This framework admits a generaliza…

math.CO2014★ 29 cited

Intersection numbers for subspace designs

Michael Kiermaier, Mario Osvin Pavčević

Intersection numbers for subspace designs are introduced and -analogs of the Mendelsohn and Köhler equations are given. As an application, we are able to determine the intersect…

math.CO2014★ 27 cited

Derived and Residual Subspace Designs

Michael Kiermaier, Reinhard Laue

A generalization of forming derived and residual designs from -designs to subspace designs is proposed. A -analog of a theorem by Van Trung, van Leijenhorst and Driessen is p…

math.CO2014★ 17 cited

The golden number and Fibonacci sequences in the design of voting structures

Josep Freixas, Sascha Kurz

Some distinguished types of voters, as vetoers, passers or nulls, as well as some others, play a significant role in voting systems because they are either the most powerful or the…

math.CO2014★ 1 cited

Fast regocnition of planar non unit distance graphs

Sascha Kurz

We study criteria attesting that a given graph can not be embedded in the plane so that neighboring vertices are at unit distance apart and the straight line edges do not cross.

math.CO2014★ 5 cited

3-regular matchstick graphs with given girth

Sascha Kurz, Giuseppe Mazzuoccolo

We consider 3-regular planar matchstick graphs, i.e. those which have a planar embedding such that all edge lengths are equal, with given girth g. For girth 3 it is known that such…

math.CO2014

Integral point sets in higher dimensional affine spaces over finite fields

Sascha Kurz, Harald Meyer

We consider point sets in the -dimensional affine space where each squared Euclidean distance of two points is a square in . It turns out that the…

math.CO2014★ 12 cited

Maximal integral point sets in affine planes over finite fields

Michael Kiermaier, Sascha Kurz

Motivated by integral point sets in the Euclidean plane, we consider integral point sets in affine planes over finite fields. An integral point set is a set of points in the affine…

math.CO2014

No finite -regular matchstick graph exists

Sascha Kurz

A graph is called a unit-distance graph in the plane if there is an injective embedding of in the plane such that every pair of adjacent vertices are at unit distance…