The Zagreb indices of four operations on graphs

For a (molecular) graph, the first Zagreb index M1 is equal to the sum of squares of the degrees of vertices, and the second Zagreb index M2 is equal to the sum of the products of the degrees of pairs of adjacent vertices. In this work, we study the first and second Zagreb indices of four operations...

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Bibliographic Details
Published in:Applied mathematics and computation 2016-02, Vol.275, p.422-431
Main Authors: Deng, Hanyuan, Sarala, D., Ayyaswamy, S.K., Balachandran, S.
Format: Article
Language:English
Subjects:
Degree
Operation on graphs
Subdivision of graph
Zagreb index
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Summary:For a (molecular) graph, the first Zagreb index M1 is equal to the sum of squares of the degrees of vertices, and the second Zagreb index M2 is equal to the sum of the products of the degrees of pairs of adjacent vertices. In this work, we study the first and second Zagreb indices of four operations on graphs.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2015.11.058