Some improved bounds on two energy-like invariants of some derived graphs-Reference-Cited by-同舟云学术

Some improved bounds on two energy-like invariants of some derived graphs

Published:2019-08-08 Issue:1 Volume:17 Page:883-893
ISSN:2391-5455
Container-title:Open Mathematics
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Author:

Cui Shu-Yu¹,Tian Gui-Xian²

Affiliation:

1. Xingzhi College, Zhejiang Normal University, Jinhua, Zhejiang, 321004, China

2. Department of Mathematics, Zhejiang Normal University, Jinhua, Zhejiang, 321004, Chinaguixiantian@163.com

Abstract

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.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/math-2019-0069/pdf

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