Spectral properties of geometric–arithmetic index
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DOI: 10.1016/j.amc.2015.12.046
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References listed on IDEAS
- Das, Kinkar Ch. & Mojallal, Seyed Ahmad, 2016. "Extremal Laplacian energy of threshold graphs," Applied Mathematics and Computation, Elsevier, vol. 273(C), pages 267-280.
- 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.
- Das, Kinkar Ch. & Mojallal, Seyed Ahmad & Gutman, Ivan, 2016. "On energy and Laplacian energy of bipartite graphs," Applied Mathematics and Computation, Elsevier, vol. 273(C), pages 759-766.
- Shi, Yongtang, 2015. "Note on two generalizations of the Randić index," Applied Mathematics and Computation, Elsevier, vol. 265(C), pages 1019-1025.
- 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:
- Vujošević, Saša & Popivoda, Goran & Kovijanić Vukićević, Žana & Furtula, Boris & Škrekovski, Riste, 2021. "Arithmetic–geometric index and its relations with geometric–arithmetic index," Applied Mathematics and Computation, Elsevier, vol. 391(C).
- Shao, Yanling & Gao, Yubin, 2019. "The maximal geometric-arithmetic energy of trees with at most two branched vertices," Applied Mathematics and Computation, Elsevier, vol. 362(C), pages 1-1.
- Cui, Qing & Zhong, Lingping, 2017. "The general Randić index of trees with given number of pendent vertices," Applied Mathematics and Computation, Elsevier, vol. 302(C), pages 111-121.
- Liu, Chang & Pan, Yingui & Li, Jianping, 2021. "On the geometric-arithmetic Estrada index of graphs," Applied Mathematics and Computation, Elsevier, vol. 391(C).
- Milovanović, E.I. & Milovanović, I.Ž. & Matejić, M.M., 2018. "Remark on spectral study of the geometric–arithmetic index and some generalizations," Applied Mathematics and Computation, Elsevier, vol. 334(C), pages 206-213.
- Mahdi Sohrabi-Haghighat & Mohammadreza Rostami, 2017. "The minimum value of geometric-arithmetic index of graphs with minimum degree 2," Journal of Combinatorial Optimization, Springer, vol. 34(1), pages 218-232, July.
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Keywords
Geometric–arithmetic index; Spectral properties; Laplacian matrix; Laplacian eigenvalues; Topological index; Graph invariant;All these keywords.
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