23 citations · 187 across the 26 of their papers we have counts for
29 papers
Godsil-McKay switchings for gain graphs
Matteo Cavaleri, Alfredo Donno, Stefano Spessato
We introduce a switching operation, inspired by the Godsil-McKay switching, in order to obtain pairs of -cospectral gain graphs, that are gain graphs cospectral with respect to…
On a class of poly-context-free groups generated by automata
Matteo Cavaleri, Daniele D'Angeli, Alfredo Donno +1
This paper deals with graph automaton groups associated with trees and some generalizations. We start by showing some algebraic properties of tree automaton groups. Then we charact…
On cospectrality of gain graphs
Matteo Cavaleri, Alfredo Donno
We define -cospectrality of two -gain graphs and , proving that it is a switching isomorphism invariant. When is a finite group, we prove that -cospec…
On an uncountable family of graphs whose spectrum is a Cantor set
Matteo Cavaleri, Daniele D'Angeli, Alfredo Donno +1
For each , the star automaton group is an automaton group which can be defined starting from a star graph on vertices. We study Schreier graphs a…
Characterizations of line graphs in signed and gain graphs
Matteo Cavaleri, Daniele D'Angeli, Alfredo Donno
We generalize three classical characterizations of line graphs to line graphs of signed and gain graphs: the Krausz's characterization, the van Rooij and Wilf's characterization an…
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…