Laplacian energy of partial complement of a graph

Sabitha D'Souza; Swati Nayak; Pradeep G. Bhat

doi:10.1016/j.matpr.2021.11.109

Laplacian energy of partial complement of a graph

Sabitha D'Souza
, Swati Nayak^*
, Pradeep G. Bhat

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

The energy of the graph had its genesis in 1978. It is the sum of absolute values of its eigenvalues. It originates from the π -electron energy in the Huckel molecular orbital model but has also gained purely mathematical interest. Suppose μ₁,μ₂,…,μ_n is the Laplacian eigenvalues of G. The Laplacian energy of G has recently been defined as LE(G)=∑i=1nμ_i-[Formula presented]. In this paper, we define Laplacian energy of partial complements of a graph. Laplacian energy and spectrum of partial complements of the few classes of graphs are established. Some bounds and properties of Laplacian energy are obtained.

Original language	English
Pages (from-to)	827-831
Number of pages	5
Journal	Materials Today: Proceedings
Volume	54
DOIs	https://doi.org/10.1016/j.matpr.2021.11.109
Publication status	Published - 01-2022

All Science Journal Classification (ASJC) codes

General Materials Science

Access to Document

10.1016/j.matpr.2021.11.109

Cite this

@article{89c7a43c68bd4107960c33ab812cab72,

title = "Laplacian energy of partial complement of a graph",

abstract = "The energy of the graph had its genesis in 1978. It is the sum of absolute values of its eigenvalues. It originates from the π -electron energy in the Huckel molecular orbital model but has also gained purely mathematical interest. Suppose μ1,μ2,…,μn is the Laplacian eigenvalues of G. The Laplacian energy of G has recently been defined as LE(G)=∑i=1nμi-[Formula presented]. In this paper, we define Laplacian energy of partial complements of a graph. Laplacian energy and spectrum of partial complements of the few classes of graphs are established. Some bounds and properties of Laplacian energy are obtained.",

author = "Sabitha D'Souza and Swati Nayak and Bhat, \{Pradeep G.\}",

note = "Publisher Copyright: {\textcopyright} 2021",

year = "2022",

month = jan,

doi = "10.1016/j.matpr.2021.11.109",

language = "English",

volume = "54",

pages = "827--831",

journal = "Materials Today: Proceedings",

issn = "2214-7853",

publisher = "Elsevier Ltd",

}

TY - JOUR

T1 - Laplacian energy of partial complement of a graph

AU - D'Souza, Sabitha

AU - Nayak, Swati

AU - Bhat, Pradeep G.

PY - 2022/1

Y1 - 2022/1

N2 - The energy of the graph had its genesis in 1978. It is the sum of absolute values of its eigenvalues. It originates from the π -electron energy in the Huckel molecular orbital model but has also gained purely mathematical interest. Suppose μ1,μ2,…,μn is the Laplacian eigenvalues of G. The Laplacian energy of G has recently been defined as LE(G)=∑i=1nμi-[Formula presented]. In this paper, we define Laplacian energy of partial complements of a graph. Laplacian energy and spectrum of partial complements of the few classes of graphs are established. Some bounds and properties of Laplacian energy are obtained.

AB - The energy of the graph had its genesis in 1978. It is the sum of absolute values of its eigenvalues. It originates from the π -electron energy in the Huckel molecular orbital model but has also gained purely mathematical interest. Suppose μ1,μ2,…,μn is the Laplacian eigenvalues of G. The Laplacian energy of G has recently been defined as LE(G)=∑i=1nμi-[Formula presented]. In this paper, we define Laplacian energy of partial complements of a graph. Laplacian energy and spectrum of partial complements of the few classes of graphs are established. Some bounds and properties of Laplacian energy are obtained.

UR - https://www.scopus.com/pages/publications/85127884066

UR - https://www.scopus.com/pages/publications/85127884066#tab=citedBy

U2 - 10.1016/j.matpr.2021.11.109

DO - 10.1016/j.matpr.2021.11.109

M3 - Article

AN - SCOPUS:85127884066

SN - 2214-7853

VL - 54

SP - 827

EP - 831

JO - Materials Today: Proceedings

JF - Materials Today: Proceedings

ER -

Laplacian energy of partial complement of a graph

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this