Upper bounds for some graph energies
I Milovanović, E Milovanović, I Gutman - Applied Mathematics and …, 2016 - Elsevier
I Milovanović, E Milovanović, I Gutman
Applied Mathematics and Computation, 2016•Elsevier… Based on it, upper bounds for (ordinary) graph energy, minimum dominating energy,
minimum covering energy, Laplacian-energy-like invariant, Laplacian energy, Randić
energy, and incidence energy are obtained. … The fact that for all graphs, the normalized
Laplacian energy and Randić energy coincide, has been immediately recognized, cf. [10], [11],
[16]. At this point, it is worth noting that all the above defined … In this paper we prove a
general inequality for non-negative real numbers, and then use it to establish upper bounds …
minimum covering energy, Laplacian-energy-like invariant, Laplacian energy, Randić
energy, and incidence energy are obtained. … The fact that for all graphs, the normalized
Laplacian energy and Randić energy coincide, has been immediately recognized, cf. [10], [11],
[16]. At this point, it is worth noting that all the above defined … In this paper we prove a
general inequality for non-negative real numbers, and then use it to establish upper bounds …
Abstract
A general inequality for non-negative real numbers is proven. Based on it, upper bounds for (ordinary) graph energy, minimum dominating energy, minimum covering energy, Laplacian-energy-like invariant, Laplacian energy, Randić energy, and incidence energy are obtained.
Elsevier
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