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Exotic Properties of Carbon Nanomatter pp 153–183Cite as

The First and Second Zagreb Indices of Several Interesting Classes of Chemical Graphs and Nanostructures

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Part of the book series: Carbon Materials: Chemistry and Physics ((CMCP,volume 8))

Abstract

Zagreb indices are among the oldest topological indices, and were introduced by Gutman and Trinajstić in 1972. In this chapter, we study the behavior of the first and second Zagreb indices under some graph decorations such as the bridge graphs, chain graphs and rooted product of graphs. Zagreb indices of the cluster of graphs and thorn graphs as two important special cases of rooted product are also determined. Using these results, the first and second Zagreb indices of several interesting classes of chemical graphs and nanostructures will be computed.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Tarbiat Modares University, P.O. Box 14115-137, Tehran, Iran

    Ali Iranmanesh

  2. Department of Mathematics, Kazerun Branch, Islamic Azad University, P.O. Box 73135-168, Kazerun, Iran

    Mahdieh Azari

Authors
  1. Ali Iranmanesh
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  2. Mahdieh Azari
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Corresponding author

Correspondence to Ali Iranmanesh .

Editor information

Editors and Affiliations

  1. West University of Timisoara, Timisoara, Romania

    Mihai V. Putz

  2. Actinium Chemical Research, Rome, Italy

    Ottorino Ori

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Iranmanesh, A., Azari, M. (2015). The First and Second Zagreb Indices of Several Interesting Classes of Chemical Graphs and Nanostructures. In: Putz, M., Ori, O. (eds) Exotic Properties of Carbon Nanomatter. Carbon Materials: Chemistry and Physics, vol 8. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-9567-8_7

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