Equivalence between spectral properties of graphs with and without loops
Preprint, 2018

In this paper we introduce a spectra preserving relation between graphs with loops and graphs without loops. This relation is achieved in two steps. First, by generalizing spectra results got on (m, k)-stars to a wider class of graphs, the (m, k, s)-stars with or without loops. Second, by defining a covering space of graphs with loops that allows to remove the presence of loops by increasing the graph dimension. The equivalence of the two class of graphs allows to study graph with loops as simple graph without loosing information.

Författare

Eleonora Andreotti

Olycksanalys och prevention

Daniel Remondini

Universita di Bologna

Armando Bazzani

Universita di Bologna

Ämneskategorier

Geometri

Datavetenskap (datalogi)

Diskret matematik

Mer information

Skapat

2020-01-16