Abstract

Given a simple graph G, its Laplacian-energy-like invariant LEL(G) and incidence energy IE(G) are the sum of square root of its all Laplacian eigenvalues and signless Laplacian eigenvalues, respectively. This paper obtains some improved bounds on LEL and IE of the 𝓡-graph and 𝓠-graph for a regular graph. Theoretical analysis indicates that these results improve some known results. In addition, some new lower bounds on LEL and IE of the line graph of a semiregular graph are also given.

Details

Title
Some improved bounds on two energy-like invariants of some derived graphs
Author
Shu-Yu, Cui; Gui-Xian Tian
Pages
883-893
Publication year
2019
Publication date
2019
Publisher
De Gruyter Poland
e-ISSN
23915455
Source type
Scholarly Journal
Language of publication
English
ProQuest document ID
2545240537
Copyright
© 2019. This work is published under http://creativecommons.org/licenses/by/4.0 (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.