Some new lower bounds for augmented Zagreb index

  • Boris FurtulaEmail author
  • Ivan Gutman
  • Marjan Matejić
  • Emina Milovanović
  • Igor Milovanović
Original Research


Let \(G=(V,E)\), \(V=\{1,2,\ldots ,n\}\), be a simple connected graph with \(n\ge 3\) vertices and m edges, with vertex degree sequence \(d_1\ge d_2\ge \cdots \ge d_n\), \(d_i=d(i)\). The augmented Zagreb index is defined as \(AZI=\sum _{i\sim j}\left( \frac{d_i d_j}{d_i+d_j-2}\right) ^3\), where \(i\sim j\) denotes adjacency of vertices i and j. Some new lower bounds for AZI are obtained.


Degree (of vertex) Vertex degree based index Augmented Zagreb index Atom–bond connectivity index 

Mathematics Subject Classification

05C07 05C90 



This paper was supported by Serbian Ministry of Education, Science and Technological Development through Grant Nos. 174033, TR32009 and TR3212.


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Copyright information

© Korean Society for Computational and Applied Mathematics 2019

Authors and Affiliations

  1. 1.Faculty of ScienceUniversity of KragujevacKragujevacSerbia
  2. 2.Faculty of Electronics EngineeringUniversity of NišNišSerbia

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