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Mathematics 2015, 3(4), 945-960; doi:10.3390/math3040945

Reformulated First Zagreb Index of Some Graph Operations

1
Department of Basic Sciences and Humanities (Mathematics), Calcutta Institute of Engineering and Management, Kolkata 700040, India
2
Department of Mathematics, Aliah University, DN-20, Sector-V, Salt Lake, Kolkata 700091, India
3
Department of Mathematics, National Institute of Technology, Durgapur 713209, India
*
Author to whom correspondence should be addressed.
Academic Editor: Lokenath Debnath
Received: 18 July 2015 / Accepted: 13 October 2015 / Published: 16 October 2015
View Full-Text   |   Download PDF [218 KB, uploaded 16 October 2015]

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. View Full-Text
Keywords: topological index; vertex degree; Zagreb indices; reformulated Zagreb indices; graph operations topological index; vertex degree; Zagreb indices; reformulated Zagreb indices; graph operations
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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De, N.; Nayeem, S.M.A.; Pal, A. Reformulated First Zagreb Index of Some Graph Operations. Mathematics 2015, 3, 945-960.

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