TY - JOUR

T1 - Laplacian energy of partial complement of a graph

AU - D'Souza, Sabitha

AU - Nayak, Swati

AU - Bhat, Pradeep G.

N1 - Publisher Copyright:
© 2021

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.

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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 -