GALaC team at LRI, Paris-Sud
GALaC is a research group at LRI, Paris-Sud University. We are focused on graph theory, combinatorics and network distributed systems algorithmic.
A global presentation of research activities in GALaC was made in 2013 for the AERES evaluation: Slides AERES 2013 and projet.
Recent Posts
Les méandres arcs-en-ciel sur des chemins de Dyck
Un méandre (de longueur n) est une paire de correspondences non-croisées sur {1,...,n}. On peut le représenter sur le plan réel comme un paire d'ensemble de demi-cercles, qui ne s'intersentent pas deux à deux, reliant n points sur une droite. Cette représentation géométrique permet d'introduire différentes ...
Lattice structures of Gog and Magog triangles
summary:
Gog and Magog triangles are simple combinatorial objects which are equienumerated.
Howewer, the problem of finding an explicit bijection between these has been an
open problem since the 80’s. These are related to other interesting objects such
as alternating sign matrices, plane partitions or aztec diamond tillings.
All ...
Non-intersecting paths and the determinant of the distance matrix of a tree
summary:
We present a combinatorial proof of the Graham–Pollak formula for the determinant of the
distance matrix of a tree, via sign-reversing involutions and the Lindström–Gessel–Viennot Lemma.
This is joint work with Emmanuel Briand, Luis Esquivias-Quintero, Álvaro Gutierrez, and Adrián Lillo.
Translations: fr