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The laplacian of the potential and the order of energy levels

✍ Scribed by B. Baumgartner; H. Grosse; A. Martin

Book ID
113348614
Publisher
Elsevier Science
Year
1984
Tongue
English
Weight
343 KB
Volume
146
Category
Article
ISSN
0370-2693

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The Laplacian-energy like of graphs
The Laplacian-energy like of graphs
✍ Bao-Xuan Zhu πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 209 KB

Assume that Β΅ 1 , Β΅ 2 , . . . , Β΅ n are eigenvalues of the Laplacian matrix of a graph G. The Laplacian-energy like of G, is defined as follows: In this note, we give upper bounds for LEL(G) in terms of connectivity or chromatic number and characterize the corresponding extremal graphs.