| Authors: | Belardo, Francesco Sciriha, Irene Simić, Slobodan |
Title: | On eigenspaces of some compound signed graphs Dedicated to the memory of Lucia Gionfriddo (1973–2008) | Journal: | Linear Algebra and Its Applications | Volume: | 509 | First page: | 19 | Last page: | 39 | Issue Date: | 15-Nov-2016 | Rank: | M21 | ISSN: | 0024-3795 | DOI: | 10.1016/j.laa.2016.07.008 | Abstract: | In the theory of (simple) graphs the concepts of the line and subdivision graph (as compound graphs) are well-known. It is possible to consider them also in the context of (edge) signed graphs. Some relations between the Laplacian spectrum of signed graphs and adjacency spectra of their associated compound (signed) graphs have been recently established in the literature. In this paper, we study the relations between the corresponding eigenspaces. |
Keywords: | Adjacency matrix | Laplacian matrix | Line graph | Signed graph | Subdivision graph | Publisher: | Elsevier | Project: | University of Naples “Federico II”, Project “SGTACSMC” University of Malta, Project MATRP01 : Graph Spectra and Electrical Conductivity in Nano-Structures Graph theory and mathematical programming with applications in chemistry and computer science |
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