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The Zagreb indices of graphs based on four new operations related to the lexicographic product

Author

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  • Sarala, D.
  • Deng, Hanyuan
  • Ayyaswamy, S.K.
  • Balachandran, S.

Abstract

For a (molecular) graph, the first Zagreb index M1 is the sum of squares of the degrees of vertices, and the second Zagreb index M2 is 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 graphs based on four new operations related to the lexicographic product, subdivision and total graph.

Suggested Citation

  • Sarala, D. & Deng, Hanyuan & Ayyaswamy, S.K. & Balachandran, S., 2017. "The Zagreb indices of graphs based on four new operations related to the lexicographic product," Applied Mathematics and Computation, Elsevier, vol. 309(C), pages 156-169.
  • Handle: RePEc:eee:apmaco:v:309:y:2017:i:c:p:156-169
    DOI: 10.1016/j.amc.2017.04.002
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    1. Deng, Hanyuan & Sarala, D. & Ayyaswamy, S.K. & Balachandran, S., 2016. "The Zagreb indices of four operations on graphs," Applied Mathematics and Computation, Elsevier, vol. 275(C), pages 422-431.
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    Cited by:

    1. Prosanta Sarkar & Nilanjan De & Anita Pal, 2022. "On some multiplicative version topological indices of block shift and hierarchical hypercube networks," OPSEARCH, Springer;Operational Research Society of India, vol. 59(2), pages 561-572, June.

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    1. Prosanta Sarkar & Nilanjan De & Anita Pal, 2022. "On some multiplicative version topological indices of block shift and hierarchical hypercube networks," OPSEARCH, Springer;Operational Research Society of India, vol. 59(2), pages 561-572, June.

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