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On Some Bounds of Extended Signless Laplacian Matrix Indices


D. Cokilavany
Abstract

This paper defines an extended signless Laplacian matrix of the molecular graph and introduces its graph invariants. Some new upper and lower bounds on these graph invariants are obtained. Further, the new graph invariants are calculated for few molecular graphs and are compared with the invariants of the extended adjacency matrices. The result shows that the extended signless Laplacian energy is significantly more than the extended adjacency matrix energy

Volume 12 | Issue 4

Pages: 468-473

DOI: 10.5373/JARDCS/V12I4/20201678