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Kirkland, Steve (2009) On Q-spectral integral variation. Electronic Notes in Discrete Mathematics, 35. pp. 203-208. ISSN 1571-0653
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Abstract
Let G be a graph with two non adjacent vertices and G0 the graph constructed
from G by adding an edge between them. It is known that the trace of Q0 is 2
plus the trace of Q, where Q and Q0 are the signless Laplacian matrices of G and
G0 respectively. So, the sum of the Q0-eigenvalues of G0 is the sum of the the Q-
eigenvalues of G plus two. It is said that Q-spectral integral variation occurs when
either only one Q-eigenvalue is increased by two or two Q-eigenvalues are increased
by 1 each one. In this article we present some conditions for the occurrence of
Q-spectral integral variation under the addition of an edge to a graph G.
| Item Type: | Article |
|---|---|
| Keywords: | signless Laplacian matrix; Q-integral graph; Q-spectral integral variation; |
| Academic Unit: | Faculty of Science and Engineering > Mathematics and Statistics |
| Item ID: | 2192 |
| Depositing User: | Professor Steve Kirkland |
| Date Deposited: | 14 Oct 2010 14:49 |
| Journal or Publication Title: | Electronic Notes in Discrete Mathematics |
| Publisher: | Elsevier |
| Refereed: | Yes |
| URI: | https://mural.maynoothuniversity.ie/id/eprint/2192 |
| Use Licence: | This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here |
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