Reformulated First Zagreb Index of Some Graph Operations

Nilanjan De, Sk. Md. Abu Nayeem and Anita Pal
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Nilanjan De: Department of Basic Sciences and Humanities (Mathematics), Calcutta Institute of Engineering and Management, Kolkata 700040, India
Sk. Md. Abu Nayeem: Department of Mathematics, Aliah University, DN-20, Sector-V, Salt Lake, Kolkata 700091, India
Anita Pal: Department of Mathematics, National Institute of Technology, Durgapur 713209, India

Mathematics, 2015, vol. 3, issue 4, 1-16

Abstract: The reformulated Zagreb indices of a graph are obtained from the classical Zagreb indices by replacing vertex degrees with edge degrees, where the degree of an edge is taken as the sum of degrees of the end vertices of the edge minus 2. In this paper, we study the behavior of the reformulated first Zagreb index and apply our results to different chemically interesting molecular graphs and nano-structures.

Keywords: topological index; vertex degree; Zagreb indices; reformulated Zagreb indices; graph operations (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2015
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