Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6416183 | Linear Algebra and its Applications | 2016 | 15 Pages |
Abstract
Given simple graphs G,H1,â¦,Hn, where n=|V(G)|, the generalized corona, denoted GâËÎi=1nHi, is the graph obtained by taking one copy of graphs G,H1,â¦,Hn and joining the ith vertex of G to every vertex of Hi. In this paper, we determine and study the characteristic, Laplacian and signless Laplacian polynomial of GâËÎi=1nHi. This leads us to construct new pairs of cospectral, L-cospectral and Q-cospectral graphs. As an application, we give a simple proof for Csikvari's Lemma on eigenvalues of graphs.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
A.R. Fiuj Laali, H. Haj Seyyed Javadi, Dariush Kiani,