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math.CO2021
Graphs with large palette index
Davide Mattiolo, Giuseppe Mazzuoccolo, Gloria Tabarelli
Given an edge-coloring of a graph, the palette of a vertex is defined as the set of colors of the edges which are incident with it. We define the palette index of a graph as the mi…
cs.DM2021
On sublinear approximations for the Petersen coloring conjecture
Davide Mattiolo, Giuseppe Mazzuoccolo, Vahan Mkrtchyan
If is a function, then let us say that is sublinear if \[\lim_{n\rightarrow +\infty}\frac{f(n)}{n}=0.\] If is a cubic graph and $…