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Zagreb Indices of Double Join and Double Corona of Graphs Based on the Total Graph

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Abstract

The Zagreb indices for a graph are defined as sum of the square of the degrees of all the vertices of the graph and sum of the product of degrees of all the pair of adjacent vertices of that graph. In this study, the Zagreb indices of two recently introduced graph operations, called double join of graphs based on the total graph and double corona of graphs based on the total graph are computed in terms of different topological indices of their factor graphs and hence some application of the derived results are also discussed.

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Acknowledgements

We thank the anonymous reviewers for their careful reading of our manuscript and their many insightful comments and suggestions to improve our manuscript. The first author would like to express special thanks of gratitude to CSIR, HRDG, New Delhi, India for their financial support under the Grant no. 09/973(0016)/2017-EMR-I.

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Authors and Affiliations

  1. Department of Mathematics, National Institute of Technology Durgapur, Durgapur, India

    Prosanta Sarkar & Anita Pal

  2. Department of Basic Sciences and Humanities (Mathematics), Calcutta Institute of Engineering and Management, Kolkata, India

    Nilanjan De

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  1. Prosanta Sarkar
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  2. Nilanjan De
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  3. Anita Pal
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Correspondence to Prosanta Sarkar.

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Sarkar, P., De, N. & Pal, A. Zagreb Indices of Double Join and Double Corona of Graphs Based on the Total Graph. Int. J. Appl. Comput. Math 6, 73 (2020). https://doi.org/10.1007/s40819-020-00829-y

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  • DOI: https://doi.org/10.1007/s40819-020-00829-y

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