Articles by Hoang La

Musical juggling: from combinatorial modeling to computer assistance with artistic creation (a thesis in the making)

-- Hoang La (LISN, Galac)

summary: Musical juggling consists of producing music by the very act of juggling. In this context (stemming from a collaboration between computer science researchers at LISN and a juggling artist), we refer more specifically to juggling with balls that each produce a musical note when caught.
The aim of this ...

The χ-binding function of d-directional segment graphs

-- Hoang La (LISN, Galac)

summary: To color a graph properly, one needs at least as many colors as the size of its biggest clique; therefore, the chromatic number χ is lower-bounded by the clique number ω. In general, there are no upper bounds on χ in terms of ω. The graphs for which we ...

Boolean dimension of boolean lattices

-- Hoang La (Jagiellonian University, Cracovie (Pologne))

summary: Partially ordered sets (or posets for short) are structures that arise naturally in mathematics in the study of binary relations between objects. A poset consists of a ground set -- a set of elements -- and a partial order among them, and are usually visualled with directed acyclic graphs (DAGs). Indeed ...