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 -