9 citations · 13 across the 6 of their papers we have counts for
7 papers
On Generalized Total Colourings of Planar Graphs
Philippe Cara, Samantha Dorfling
In this paper we study generalised total colourings of graphs where the colour classes formed by vertices and edges, respectively, induce forests, while incident edges/vertices rec…
FinInG: a package for Finite Incidence Geometry
John Bamberg, Anton Betten, Philippe Cara +3
FinInG is a package for computation in Finite Incidence Geometry. It provides users with the basic tools to work in various areas of finite geometry from the realms of projective s…
A note on Moufang sets
Philippe Cara, Rudger Kieboom
The notion of Moufang set was introduced by Jacques Tits in \cite{Tits92}. We recall briefly the well-established definition and a construction which, under certain conditions, yie…
A construction for infinite families of semisymmetric graphs revealing their full automorphism group
Philippe Cara, Sara Rottey, Geertrui Van de Voorde
We give a general construction leading to different non-isomorphic families $Γ_{n,q}(\K)$ of connected -regular semisymmetric graphs of order embedded in $\PG(n+1,q)$…
A categorical approach to loops, neardomains and nearfields
Philippe Cara, Rudger Kieboom, Tina Vervloet
In this paper we study loops, neardomains and nearfields from a categorical point of view. By choosing the right kind of morphisms, we can show that the category of neardomains is…
The isomorphism problem for linear representations and their graphs
Philippe Cara, Sara Rottey, Geertrui Van de Voorde
In this paper, we study the isomorphism problem for linear representations. A linear representation Tn*(K) of a point set K is a point-line geometry, embedded in a projective space…