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http://hdl.handle.net/1893/21760| Appears in Collections: | Computing Science and Mathematics Journal Articles |
| Peer Review Status: | Refereed |
| Title: | Star complements and edge-connectivity in finite graphs |
| Author(s): | Rowlinson, Peter |
| Contact Email: | peter.rowlinson@stir.ac.uk |
| Keywords: | graph connectivity eigenvalue star complement |
| Issue Date: | Jul-2015 |
| Date Deposited: | 13-May-2015 |
| Citation: | Rowlinson P (2015) Star complements and edge-connectivity in finite graphs. Linear Algebra and Its Applications, 476, pp. 124-132. https://doi.org/10.1016/j.laa.2015.03.003 |
| Abstract: | Let G be a finite graph with H as a star complement for a non-zero eigenvalue μ. Let κ'(G), δ(G) denote respectively the edge-connectivity and minimum degree of G. We show that κ'(G) is controlled by δ(G) and κ'(H). We describe the possibilities for a minimum cutset of G when μ∉{-1,0}. For such μ, we establish a relation between κ'(G) and the spectrum of H when G has a non-trivial minimum cutset E⊈E(H). |
| DOI Link: | 10.1016/j.laa.2015.03.003 |
| Rights: | This item has been embargoed for a period. During the embargo please use the Request a Copy feature at the foot of the Repository record to request a copy directly from the author. You can only request a copy if you wish to use this work for your own research or private study. Accepted refereed manuscript of: Rowlinson P (2015) Star complements and edge-connectivity in finite graphs, Linear Algebra and Its Applications, 476, pp. 124-132. DOI: 10.1016/j.laa.2015.03.003 © 2015, Elsevier. Licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International http://creativecommons.org/licenses/by-nc-nd/4.0/ |
| Licence URL(s): | http://creativecommons.org/licenses/by-nc-nd/4.0/ |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Edge2A.pdf | Fulltext - Accepted Version | 330.31 kB | Adobe PDF | View/Open |
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