6 citations · 10 across the 7 of their papers we have counts for
4 papers · 1 filter
The Shortest Path Problem for the Distant Graph of the Projective Line Over the Ring of Integers
Andrzej Matraś, Artur Siemaszko
The distant graph of the projective line over the ring of integers is considered. The shortest path problem in this graph is solved by use of Klein…
The symmetry axiom in Minkowski planes
Jaroslaw Kosiorek, Andrzej Matras
The aim of the paper is to give a synthetic proof that in a symmetric Minkowski plane the Benz's (G) axiom holds (without using the algebraic representation).
The symmetry axioms in Laguerre planes
Jaroslaw Kosiorek, Andrzej Matras
We introduce two axioms in Laguerre geometry and prove that they provide a characterization of miquelian planes over fields of the characteristic different from 2. They allow to de…
A construction of a skewaffine structure in Laguerre geometry
Andrzej Matras'
J. Andre constructed a skewaffine structure as a group space of a normally transitive group. In the paper this construction was used to describe such an external structure associat…