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Upper bounds for some graph energies

Author

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  • Milovanović, Igor
  • Milovanović, Emina
  • Gutman, Ivan

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.

Suggested Citation

  • Milovanović, Igor & Milovanović, Emina & Gutman, Ivan, 2016. "Upper bounds for some graph energies," Applied Mathematics and Computation, Elsevier, vol. 289(C), pages 435-443.
    • Handle: RePEc:eee:apmaco:v:289:y:2016:i:c:p:435-443
    DOI: 10.1016/j.amc.2016.05.045
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    References listed on IDEAS

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    1. Li, Xueliang & Qin, Zhongmei & Wei, Meiqin & Gutman, Ivan & Dehmer, Matthias, 2015. "Novel inequalities for generalized graph entropies – Graph energies and topological indices," Applied Mathematics and Computation, Elsevier, vol. 259(C), pages 470-479.
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    Cited by:

    1. Bravo, Diego & Cubría, Florencia & Rada, Juan, 2017. "Energy of matrices," Applied Mathematics and Computation, Elsevier, vol. 312(C), pages 149-157.
    2. Das, Kinkar Ch. & Gutman, Ivan & Furtula, Boris, 2017. "On spectral radius and energy of extended adjacency matrix of graphs," Applied Mathematics and Computation, Elsevier, vol. 296(C), pages 116-123.
    3. Jahanbani, Akbar, 2017. "Some new lower bounds for energy of graphs," Applied Mathematics and Computation, Elsevier, vol. 296(C), pages 233-238.
    4. Bilal Ahmad Rather & Hilal A. Ganie & Kinkar Chandra Das & Yilun Shang, 2024. "The General Extended Adjacency Eigenvalues of Chain Graphs," Mathematics, MDPI, vol. 12(2), pages 1-16, January.
    5. Farrugia, Alexander, 2018. "The increase in the resolvent energy of a graph due to the addition of a new edge," Applied Mathematics and Computation, Elsevier, vol. 321(C), pages 25-36.

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