11 citations · 21 across the 15 of their papers we have counts for
7 papers · 1 filter
The Ring of Polyfunctions over
Ernst Specker, Norbert Hungerbühler, Micha Wasem
We study the ring of polyfunctions over . The ring of polyfunctions over a commutative ring with unit element is the ring of functions which ad…
Lights Out on graphs
Abraham Berman, Franziska Borer, Norbert Hungerbühler
We model the Lights Out game on general simple graphs in the framework of linear algebra over the field . Based upon a version of the Fredholm alternative, we introduc…
Exotic Steiner Chains in Miquelian Möbius Planes
Norbert Hungerbühler, Gideon Villiger
In the Euclidean plane, two intersecting circles or two circles which are tangent to each other clearly do not carry a finite Steiner chain. However, in this paper we will show tha…
Resistors in dual networks
Martina Furrer, Norbert Hungerbühler, Simon Jantschgi
Let be a finite plane multigraph and its dual. Each edge of is interpreted as a resistor of resistance , and the dual edge is assigned the dual resistanc…
Steiner's Porism in finite Miquelian Möbius planes
Norbert Hungerbühler, Katharina Kusejko
We investigate Steiner's Porism in finite Miquelian Möbius planes constructed over the pair of finite fields and , for an odd prime and . Proper…
A Poncelet Criterion for special pairs of conics in
Norbert Hungerbühler, Katharina Kusejko
We study Poncelet's Theorem in finite projective coordinate planes over the field and concentrate on a particular pencil of conics. For pairs of such conics we investigate…
Poncelet's Theorem in the four nonisomorphic finite projective planes of order 9
Katharina Kusejko, Norbert Hungerbühler
We study Poncelet's Theorem in the four non-isomorphic finite projective planes of order 9. Among these planes, only the Desarguesian plane turns out to be a Poncelet plane, while…