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Extremal Laplacian energy of threshold graphs

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  • Das, Kinkar Ch.
  • Mojallal, Seyed Ahmad

Abstract

Let G be a connected threshold graph of order n with m edges and trace T. In this paper we give a lower bound on Laplacian energy in terms of n, m and T of G. From this we determine the threshold graphs with the first four minimal Laplacian energies. Moreover, we obtain the threshold graphs with the largest and the second largest Laplacian energies.

Suggested Citation

  • Das, Kinkar Ch. & Mojallal, Seyed Ahmad, 2016. "Extremal Laplacian energy of threshold graphs," Applied Mathematics and Computation, Elsevier, vol. 273(C), pages 267-280.
    • Handle: RePEc:eee:apmaco:v:273:y:2016:i:c:p:267-280
    DOI: 10.1016/j.amc.2015.10.002
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    References listed on IDEAS

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    1. Renqian, Suonan & Ge, Yunpeng & Huo, Bofeng & Ji, Shengjin & Diao, Qiangqiang, 2015. "On the tree with diameter 4 and maximal energy," Applied Mathematics and Computation, Elsevier, vol. 268(C), pages 364-374.
    2. Das, Kinkar Ch. & Mojallal, Seyed Ahmad & Gutman, Ivan, 2015. "On Laplacian energy in terms of graph invariants," Applied Mathematics and Computation, Elsevier, vol. 268(C), pages 83-92.
    3. Alikhani, Saeid & Ghanbari, Nima, 2015. "Randić energy of specific graphs," Applied Mathematics and Computation, Elsevier, vol. 269(C), pages 722-730.
    4. 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.
    5. Liu, Jia-Bao & Pan, Xiang-Feng & Hu, Fu-Tao & Hu, Feng-Feng, 2015. "Asymptotic Laplacian-energy-like invariant of lattices," Applied Mathematics and Computation, Elsevier, vol. 253(C), pages 205-214.
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    Cited by:

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    2. Rodríguez, José M. & Sigarreta, José M., 2016. "Spectral properties of geometric–arithmetic index," Applied Mathematics and Computation, Elsevier, vol. 277(C), pages 142-153.

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