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Spectral bounds for the betweenness of a graph

โœ Scribed by F. Comellas; S. Gago


Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
127 KB
Volume
423
Category
Article
ISSN
0024-3795

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A spectral lower bound for the treewidth
โœ L.Sunil Chandran; C.R. Subramanian ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 95 KB

We give a lower bound for the treewidth of a graph in terms of the second smallest eigenvalue of its Laplacian matrix. We use this lower bound to show that the treewidth of a d-dimensional hypercube is at least 3 We generalize this result to Hamming graphs. We also observe that every graph G on n v