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A note on the first reformulated Zagreb index

Author

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  • Milovanović, E.I.
  • Milovanović, I.Ž.
  • Dolićanin, E.Ć.
  • Glogić, E.

Abstract

Let G=(V,E),V={1,2,…,n},E={e1,e2,…,em}, be a simple graph with n vertices and m edges. Denote by d(ei) (i=1,2,…,m) an edge degree, and by EM1=∑i=1md(ei)2 first reformulated Zagreb index of graph G. Upper and lower bounds of graph invariant EM1 are obtained.

Suggested Citation

  • Milovanović, E.I. & Milovanović, I.Ž. & Dolićanin, E.Ć. & Glogić, E., 2016. "A note on the first reformulated Zagreb index," Applied Mathematics and Computation, Elsevier, vol. 273(C), pages 16-20.
    • Handle: RePEc:eee:apmaco:v:273:y:2016:i:c:p:16-20
    DOI: 10.1016/j.amc.2015.09.088
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    References listed on IDEAS

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    1. Shi, Yongtang, 2015. "Note on two generalizations of the Randić index," Applied Mathematics and Computation, Elsevier, vol. 265(C), pages 1019-1025.
    2. Ji, Shengjin & Qu, Yongke & Li, Xia, 2015. "The reformulated Zagreb indices of tricyclic graphs," Applied Mathematics and Computation, Elsevier, vol. 268(C), pages 590-595.
    3. Tsang, Eric W. K., 2014. "Old and New," Management and Organization Review, Cambridge University Press, vol. 10(03), pages 390-390, November.
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    Cited by:

    1. Álvaro Martínez-Pérez & José M. Rodríguez, 2018. "New lower bounds for the second variable Zagreb index," Journal of Combinatorial Optimization, Springer, vol. 36(1), pages 194-210, July.
    2. Fang Gao & Xiaoxin Li & Kai Zhou & Jia-Bao Liu, 2018. "The Extremal Graphs of Some Topological Indices with Given Vertex k -Partiteness," Mathematics, MDPI, vol. 6(11), pages 1-11, November.

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