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Some new lower bounds for incidence energy of graphs and extended graph energy. (English) Zbl 1399.05158

Summary: Some new bounds on \({S_\alpha}\) (\({\alpha > 0}\)) are presented, where invariant \({S_\alpha}\) is equal to the sum of powers of signless Laplacian eigenvalues of \(G\). As a result of these bounds, some new results on incidence energy are also obtained. In addition, the extended graph energy is studied.

MSC:

05C50 Graphs and linear algebra (matrices, eigenvalues, etc.)
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