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Bipartiteness and the least eigenvalue of signless Laplacian of graphs

✍ Scribed by Shaun Fallat; Yi-Zheng Fan

Book ID
113772185
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
414 KB
Volume
436
Category
Article
ISSN
0024-3795

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πŸ“œ SIMILAR VOLUMES

A sharp lower bound for the least eigenv
A sharp lower bound for the least eigenvalue of the signless Laplacian of a non-bipartite graph
✍ Domingos M. Cardoso; DragoΕ‘ CvetkoviΔ‡; Peter Rowlinson; Slobodan K. SimiΔ‡ πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 149 KB

We prove that the minimum value of the least eigenvalue of the signless Laplacian of a connected nonbipartite graph with a prescribed number of vertices is attained solely in the unicyclic graph obtained from a triangle by attaching a path at one of its endvertices.