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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
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Keywords: graph
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.
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
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