1 research outputs found
Some improved bounds on two energy-like invariants of some derived graphs
Given a simple graph , its Laplacian-energy-like invariant and
incidence energy are the sum of square root of its all Laplacian
eigenvalues and signless Laplacian eigenvalues, respectively. Applying the
Cauchy-Schwarz inequality and the Ozeki inequality, along with its refined
version, we obtain some improved bounds on and of the -graph and -graph for a regular graph. Theoretical analysis
indicates that these results improve some known results. In addition, some new
lower bounds on and of the line graph of a semiregular graph are
also given.Comment: 18 pages, 32 conferenc