Reformulated First Zagreb Index of Some Graph Operations

Reformulated First Zagreb Index of Some Graph Operations

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...

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Bibliographic Details
Main Authors: Nilanjan De, Sk. Md. Abu Nayeem, Anita Pal
Format: Article
Language:English
Published: MDPI AG 2015-10-01
Series:Mathematics
Subjects:
topological index
vertex degree
Zagreb indices
reformulated Zagreb indices
graph operations
Online Access:http://www.mdpi.com/2227-7390/3/4/945
Description
Summary: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.
ISSN:2227-7390

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