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The Zagreb indices of four operations on graphs

Author

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

Abstract

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.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:apmaco:v:275:y:2016:i:c:p:422-431
    DOI: 10.1016/j.amc.2015.11.058
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    Cited by:

    1. 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.
    2. 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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