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On the Laplacian-energy-like invariant

✍ Scribed by Das, Kinkar Ch.; Gutman, Ivan; Çevik, A. Sinan


Book ID
123066282
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
401 KB
Volume
442
Category
Article
ISSN
0024-3795

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The Laplacian-energy like of graphs
✍ Bao-Xuan Zhu 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 209 KB

Assume that µ 1 , µ 2 , . . . , µ 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.