STORRE
STORRE: Stirling Online Research Repository
Please use this identifier to cite or link to this item:
http://hdl.handle.net/1893/18502| Appears in Collections: | Computing Science and Mathematics Journal Articles |
| Peer Review Status: | Refereed |
| Title: | On multiple eigenvalues of trees |
| Author(s): | Rowlinson, Peter |
| Contact Email: | peter.rowlinson@stir.ac.uk |
| Keywords: | Graph Tree Eigenvalue Star complement |
| Issue Date: | Jun-2010 |
| Date Deposited: | 30-Jan-2014 |
| Citation: | Rowlinson P (2010) On multiple eigenvalues of trees. Linear Algebra and Its Applications, 432 (11), pp. 3007-3011. https://doi.org/10.1016/j.laa.2010.01.003 |
| Abstract: | Let T be a tree of order n>6 with μ as a positive eigenvalue of multiplicity k. Star complements are used to show that (i) if k>n/3 then μ=1, (ii) if μ=1 then, without restriction on k, T has k+1 pendant edges that form an induced matching. The results are used to identify the trees with a non-zero eigenvalue of maximum possible multiplicity. |
| DOI Link: | 10.1016/j.laa.2010.01.003 |
| Rights: | Published in Linear Algebra and its Applications by Elsevier; Elsevier believes that individual authors should be able to distribute their accepted author manuscripts for their personal voluntary needs and interests, e.g. posting to their websites or their institution’s repository, e-mailing to colleagues. The Elsevier Policy is as follows: Authors retain the right to use the accepted author manuscript for personal use, internal institutional use and for permitted scholarly posting provided that these are not for purposes of commercial use or systematic distribution. An "accepted author manuscript" is the author’s version of the manuscript of an article that has been accepted for publication and which may include any author-incorporated changes suggested through the processes of submission processing, peer review, and editor-author communications. |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Trees.pdf | Fulltext - Accepted Version | 241.76 kB | Adobe PDF | View/Open |
This item is protected by original copyright |
Items in the Repository are protected by copyright, with all rights reserved, unless otherwise indicated.
The metadata of the records in the Repository are available under the CC0 public domain dedication: No Rights Reserved https://creativecommons.org/publicdomain/zero/1.0/
If you believe that any material held in STORRE infringes copyright, please contact library@stir.ac.uk providing details and we will remove the Work from public display in STORRE and investigate your claim.