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On some multiplicative version topological indices of block shift and hierarchical hypercube networks

Author

Listed:
  • Prosanta Sarkar

    (National Institute of Technology Durgapur)

  • Nilanjan De

    (Calcutta Institute of Engineering and Management)

  • Anita Pal

    (Calcutta Institute of Engineering and Management)

Abstract

A graph is defined by a set of objects, named as vertices, some of which are connected by links, known as edges. The term network and graph are same words and are used based on their domain of applications. Now a days, networking research received a great attention in the field of electrical and electronic engineering. There are various types of networks, which are classified to their connection types, its architecture and topology. A topological index of a graph structure or a network is a numeric quantity derived from that graph structure or network by mathematically which is correlated with various structural properties. In this paper, we computed some multiplicative version topological indices of block shift and hierarchical hypercube networks.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:opsear:v:59:y:2022:i:2:d:10.1007_s12597-021-00539-z
    DOI: 10.1007/s12597-021-00539-z
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    References listed on IDEAS

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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.
    2. Siddiqui, Muhammad Kamran & Imran, Muhammad & Ahmad, Ali, 2016. "On Zagreb indices, Zagreb polynomials of some nanostar dendrimers," Applied Mathematics and Computation, Elsevier, vol. 280(C), pages 132-139.
    3. 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.
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