1 citations · 1 across the 5 of their papers we have counts for
8 papers
Playing through a noisy channel (and knowing it)
Nicolas Capitelli, Melina Privitelli
In this note we discuss a theory of combinatorial games that involve transmitting the moves through a noisy channel that can introduce errors during the transmission. Players are a…
Weak harmonic labeling of graphs and multigraphs
Pablo Leandro Bonucci, Nicolás Ariel Capitelli
In this article we introduce the notion of weak harmonic labeling of a graph, a generalization of the concept of harmonic labeling defined recently by Benjamini et al. that allows…
A note on collapsibility of acyclic 2-complexes
Nicolás A. Capitelli
We present a Morse-theoretic characterization of collapsibility for 2-dimensional acyclic simplicial complexes by means of the values of normalized optimal combinatorial Morse func…
On normalizing discrete Morse functions
Nicolás A. Capitelli
We present a way to normalize a combinatorial Morse function into an integer-valued canonical representative of the set of discrete Morse functions inducing a given gradient field.
A simplicial complex is uniquely determined by its set of discrete Morse functions
Nicolas Ariel Capitelli, Elias Gabriel Minian
We prove that a connected simplicial complex is uniquely determined by its complex of discrete Morse functions. This settles a question raised by Chari and Joswig. In the 1-dimensi…
The non-pure version of the simplex and the boundary of the simplex
Nicolas Ariel Capitelli
We introduce the non-pure versions of simplicial balls and spheres with minimum number of vertices. These are a special type of non-homogeneous balls and spheres (NH-balls and NH-s…