14 citations · 89 across the 13 of their papers we have counts for
3 papers · 1 filter
Gain-line graphs via -phases and group representations
Matteo Cavaleri, Daniele D'Angeli, Alfredo Donno
Let be an arbitrary group. We define a gain-line graph for a gain graph through the choice of an incidence -phase matrix inducing . We prove that the switching eq…
Graph automaton groups
Matteo Cavaleri, Daniele D'Angeli, Alfredo Donno +1
In this paper we define a way to get a bounded invertible automaton starting from a finite graph. It turns out that the corresponding automaton group is regular weakly branch over…
A group representation approach to balance of gain graphs
Matteo Cavaleri, Daniele D'Angeli, Alfredo Donno
We study the balance of -gain graphs, where is an arbitrary group, by investigating their adjacency matrices and their spectra. As a first step, we characterize switching eq…