Davide Mattiolo

collaborators

3 papers

math.CO2023

Sets of $r$ -graphs that color all $r$ -graphs

Yulai Ma, Davide Mattiolo, Eckhard Steffen +1

An $r$ -regular graph is an $r$ -graph, if every odd set of vertices is connected to its complement by at least $r$ edges. Let $G$ and $H$ be $r$ -graphs. An $H$ -coloring of $G$ is a…

math.CO2023

On $d$ -dimensional nowhere-zero $r$ -flows on a graph

Davide Mattiolo, Giuseppe Mazzuoccolo, Jozef Rajník +1

A $d$ -dimensional nowhere-zero $r$ -flow on a graph $G$ , an $(r, d)$ -NZF from now on, is a flow where the value on each edge is an element of $R^{d}$ whose (Euclidean) norm li…

math.CO2023

A lower bound for the complex flow number of a graph: a geometric approach

Davide Mattiolo, Giuseppe Mazzuoccolo, Jozef Rajník +1

Let $r \geq 2$ be a real number. A complex nowhere-zero $r$ -flow on a graph $G$ is an orientation of $G$ together with an assignment $φ : E (G) \to C$ such that, for all…

Sets of r-graphs that color all r-graphs

On d-dimensional nowhere-zero r-flows on a graph

A lower bound for the complex flow number of a graph: a geometric approach

Sets of $r$ -graphs that color all $r$ -graphs

On $d$ -dimensional nowhere-zero $r$ -flows on a graph