8 citations · 13 across the 8 of their papers we have counts for
8 papers
On the computation of the M{ö}bius transform
Morgan Barbier, Hayat Cheballah, Jean-Marie Le Bars
The M{ö}bius transform is a crucial transformation into the Boolean world; it allows to change the Boolean representation between the True Table and Algebraic Normal Form. In this…
Properties and constructions of coincident functions
Morgan Barbier, Hayat Cheballah, Jean-Marie Le Bars
Extensive studies of Boolean functions are carried in many fields. The Mobius transform is often involved for these studies. In particular, it plays a central role in coincident fu…
Inversions and the Gog-Magog problem
Philippe Biane, Hayat Cheballah
We consider the problem of finding a bijection between the sets of alternating sign matrices and of totally symmetric self complementary plane partitions, which can be reformulated…
Combinatorial Hopf algebra structure on packed square matrices
Hayat Cheballah, Samuele Giraudo, Rémi Maurice
We construct a new bigraded Hopf algebra whose bases are indexed by square matrices with entries in the alphabet , , without null rows or columns. This…
Gog, Magog and Schützenberger II: Left trapezoids
Philippe Biane, Hayat Cheballah
We are interested in finding an explicit bijection between two families of combinatorial objects: Gog and Magog triangles. These two families are particular classes of Gelfand-Tset…
Gog and Magog triangles, and the Schutzenberger involution
Hayat Cheballah, Philippe Biane
We describe an approach to finding a bijection between Alternating Sign Matrices and Totally Symmetric Self-Complementary Plane Partitions, which is based on the Schutzenberger inv…