4 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.