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math.CO2023
On -dimensional nowhere-zero -flows on a graph
Davide Mattiolo, Giuseppe Mazzuoccolo, Jozef Rajník +1
A -dimensional nowhere-zero -flow on a graph , an -NZF from now on, is a flow where the value on each edge is an element of 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 be a real number. A complex nowhere-zero -flow on a graph is an orientation of together with an assignment such that, for all…
math.CO2023
A characterization of graphs with small palette index
Domenico Labbate, Davide Mattiolo, Giuseppe Mazzuoccolo +2
Given an edge-coloring of a graph , we associate to every vertex of the set of colors appearing on the edges incident with . The palette index of is defined as th…