Description
In the theory of (simple) graphs the notions of line graph and subdivision graph are well-known. Recently, such graph valued functions have been considered also in the context of signed graphs, where the edges get a value in the set {1,-1} (the sign), that is the signature of the graph. Hence, we consider the following two compound graphs: the signed line graph and the signed subdivision graph. Some relations between the spectra of the adjacency and the Laplacian matrices of signed graphs have been exploited in the literature. In this talk, we put focus on the relations intercurring among the eigenspaces of the respective classes of signed graphs.
Joint research with Irene Sciriha and Slobodan Simić.
Primary author
Dr
Francesco Belardo
(University of Messina and University of Primorska)
