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.
|Journal||IAENG International Journal of Computer Science|
|Publication status||Published - 2023|
All Science Journal Classification (ASJC) codes
- Computer Science(all)