4 papers · 1 filter
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 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 $\PG(n+1,q)$…
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…