Extremum Modified First Zagreb Connection Index of - Vertex Trees with Fixed Number of Pendent Vertices

Sadia Noureen, Akhlaq Ahmad Bhatti and Akbar Ali

Discrete Dynamics in Nature and Society, 2020, vol. 2020, 1-6

Abstract:

The modified first Zagreb connection index is a graph invariant that appeared about fifty years ago within a study of molecular modeling, and after a long time, it has been revisited in two papers ((Ali and Trinajstić, 2018) and (Naji et al., 2017)) independently. For a graph , this graph invariant is defined as , where is the degree of the vertex and is the connection number of (that is, the number of vertices having distance 2 from ). In this paper, the graphs with maximum/minimum value are characterized from the class of all - vertex trees with fixed number of pendent vertices (that are the vertices of degree 1).

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:3295342

DOI: 10.1155/2020/3295342

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