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- Cécile Huybrechts
- Discrete Mathematics
- 2002

The two subjects of the title are studied, first independently and then by making them interact. Many questions arise from this interaction.In our intrinsic study of the first subject, we construct a… (More)

We introduce the concept of parallelism in diagram geometry, we apply it to a new gluing concept that provides geometries of higher rank, we combine it with another recent extension procedure for… (More)

AbstractWe classify the ag{transitive circular extensions of line{point systems of nite projective geometries. 1 Introduction We consider geometries belonging to the following diagram of rank 3,… (More)

We prove the existence of a rank three geometry admitting the Hall–Janko group J2 as flag-transitive automorphism group and Aut(J2) as full automorphism group. This geometry belongs to the diagram… (More)

- Cécile Huybrechts
- Discrete Mathematics
- 1999

Abstract A locally finite PG · PG∗ - geometry is a rank three incidence structure of points, lines and blocks , the block and dual point residues of which are {point,line}-systems of finite… (More)

- Cécile Huybrechts, Antonio Pasini
- Des. Codes Cryptogr.
- 1996

where q is a positive integer, the label c denotes the class of circular spaces (that is, the class of complete graphs) and c∗ is its dual. A cn−2.c∗ geometry (of order q) is a geometry belonging to… (More)

- Charles J. Colbourn, Cécile Huybrechts
- Discrete Mathematics
- 2008

A graph is fully gated when every convex set of vertices is gated. Doignon posed the problem of characterizing fully gated graphs and in particular of deciding whether there is an efficient algorithm… (More)

Let Γ be a rank three incidence geometry of points, lines and planes whose planes are linear spaces and whose point residues are dual linear spaces (notice that we do not require anything on the line… (More)