TY - JOUR

T1 - Signless Laplacian Energy of Partial Complement of a Graph

AU - Nayak, Swati

AU - D’Souza, Sabitha

AU - Bhat, Pradeep G.

N1 - Publisher Copyright:
© 2023, IAENG International Journal of Computer Science. All Rights Reserved.

PY - 2023

Y1 - 2023

N2 - The energy E(G) of a graph G, defined as the sum of the absolute values of its eigenvalues, belongs to the most popular graph invariants in chemical graph theory. It originates from the π−electron energy in the Huckel molecular orbital model, but has also gained purely mathematical interest. Let q1, q2,…, qn be the signless Laplacian eigenvalues of G. The signless Laplacian energy of G has recently been defined as (Formula Presented) In this paper, we define signless Laplacian energy of partial complements of a graph. Signless Laplacian spectrum of partial complements of the few classes of graphs are established. Some bounds and properties of signless Laplacian energy are obtained.

AB - The energy E(G) of a graph G, defined as the sum of the absolute values of its eigenvalues, belongs to the most popular graph invariants in chemical graph theory. It originates from the π−electron energy in the Huckel molecular orbital model, but has also gained purely mathematical interest. Let q1, q2,…, qn be the signless Laplacian eigenvalues of G. The signless Laplacian energy of G has recently been defined as (Formula Presented) In this paper, we define signless Laplacian energy of partial complements of a graph. Signless Laplacian spectrum of partial complements of the few classes of graphs are established. Some bounds and properties of signless Laplacian energy are obtained.

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M3 - Article

AN - SCOPUS:85163710215

SN - 1819-656X

VL - 50

JO - IAENG International Journal of Computer Science

JF - IAENG International Journal of Computer Science

IS - 2

M1 - IJCS_50_2_33

ER -