|Appears in Collections:||Computing Science and Mathematics Journal Articles|
|Peer Review Status:||Refereed|
|Title:||On bipartite graphs with complete bipartite star complements|
|Citation:||Rowlinson P (2014) On bipartite graphs with complete bipartite star complements, Linear Algebra and Its Applications, 458, pp. 149-160.|
|Abstract:||Let G be a bipartite graph with μ as an eigenvalue of multiplicity k>1k>1. We show that if G has Kr,sKr,s(1≤r≤s)(1≤r≤s) as a star complement for μ then k≤s-1k≤s-1; moreover if μ is non-main then k≤s-2k≤s-2 for large enough s . We provide examples of graphs in which various bounds on k or s are attained. We also describe the bipartite graphs with K1,sK1,s as a star complement for a non-main eigenvalue of multiplicity s-1>1s-1>1.|
|Rights:||The publisher does not allow this work to be made publicly available in this Repository. 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.|
|Affiliation:||Mathematics - CSM Dept|
|Linear Algebra and its Applications 2014.pdf||329.79 kB||Adobe PDF||Under Embargo until 31/12/2999 Request a copy|
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