ULB Research ⤶	Description of the Unit	Projects of the Unit	Composition
Collaborations of the Unit	Protected technologies	Publications	Skills

Discrete Mathematics

Faculty of Sciences | Mathematics

(Code: ULB171)

► Atlas of symmetric graphs of degree up to 30

Financement de base institutionnel.

Listing of the known symmetric graphs (degree < or = 26) and classification for higher degrees up to 50 (primitive graphs). Tabulation of various param ...

► The Alexandrov theorem of space-time simplified and generalized in terms of affine incidence geometry of any dimension over any field

F.R.S.-FNRS et Fonds associés (hors FRIA) - Financement de base institutionnel.

The structure of the Minkowski space of special relativity is interpreted and generalized with the help of an affine space A whose projective space at  ...

► Characterization in terms of points and lines of grassmannians of buildings and of diagram geometries

F.R.S.-FNRS et Fonds associés (hors FRIA).

Any Coxeter diagram (resp. any diagram) and one of its nodes define a class of point-line spaces derived from the corresponding buildings (resp. geomet ...

► Elaboration and development of a library of MAGMA programmes whose purpose is the study of flag-transitive incidence geometries

Financement de base institutionnel.

First developed in CAYLEY, the project aims on the one hand to translate our existing programmes in MAGMA and on the other hand, to build new approache ...

► Atlas of residually weakly primitive incidence geometries of small groups

Financement de base institutionnel.

Collection of data based on MAGMA programmes and on an interactive approach concerning the alternating and symmetric groups of degree d < or = 7, the g ...

► Atlas of primitive incidence geometries for small almost simple groups

Financement de base institutionnel.

Collection of data  based on MAGMA programmes and on an interactive approach concerning the almost simple groups of type PSU(4,2) , M11 and PSL(2,q) fo ...

► Study and classification of the residually primitive incidence geometries of the Suzuki groups

Financement de base institutionnel.

The known classiciations of the maximal subgroups of the almost simple groups of Suzuki type and their geometric interpretation in terms of Tits-Suzuki ...

► Study of the primitive groups of small degree

F.R.S.-FNRS et Fonds associés (hors FRIA) - Financement de base institutionnel.

Determination of the structure of the primitive groups of degree < or = 50 and of their relations of inclusion

► Arithmetic and grouptheoretical reduction of rank 3 amalgams of thick linear spaces that are flag-homogeneous

F.R.S.-FNRS et Fonds associés (hors FRIA).

The polynomial structure of orders of thick flag-homogeneous linear spaces puts strong constraints on the orders of rank 3 amalgams of such geometries  ...

► Classification of chamber-transitive geometries of type c.L*

Financement de base institutionnel.

The incidence geometries c.L* with thick point residues admitting a chamber-transitive automorphism group give rise to examples including among others  ...

► Theory of the incidence geometries of type L.Af* satisfying an intersection axiom

F.R.S.-FNRS et Fonds associés (hors FRIA).

Generalizing results on the geometries with diagrams C.Af* and Af.Af*, it is possible to show that under certain hypothesis, every geometry on L.Af* is ...

► Questions concerning buildings and their extensions

Financement de base institutionnel.

► Structures and algorithms for the assesment of knowledge

Autres U.E. - Financement de base institutionnel.

Knowledge spaces introduced in 1985 by Doignon and Falmagne capture all possible knowledge states in a population of students, as regards a specific bo ...

► Description of the approval-voting polytope

Autres U.E. - Financement de base institutionnel.

The design of a test for a probabilistic model of approval-voting data is recast as the search for a linear description of a specific convex polytope.  ...

► Gates of convex sets

Autres U.E. - Financement de base institutionnel.

The notion of a gate for a subset in a metric space plays a role in localization theory (belonging to operations research) and in the theory of buildin ...