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Reformulated First Zagreb Index of Some Graph Operations

Author

Listed:
  • Nilanjan De

    (Department of Basic Sciences and Humanities (Mathematics), Calcutta Institute of Engineering and Management, Kolkata 700040, India)

  • Sk. Md. Abu Nayeem

    (Department of Mathematics, Aliah University, DN-20, Sector-V, Salt Lake, Kolkata 700091, India)

  • Anita Pal

    (Department of Mathematics, National Institute of Technology, Durgapur 713209, India)

Abstract

The reformulated Zagreb indices of a graph are obtained from the classical Zagreb indices by replacing vertex degrees with edge degrees, where the degree of an edge is taken as the sum of degrees of the end vertices of the edge minus 2. In this paper, we study the behavior of the reformulated first Zagreb index and apply our results to different chemically interesting molecular graphs and nano-structures.

Suggested Citation

  • Nilanjan De & Sk. Md. Abu Nayeem & Anita Pal, 2015. "Reformulated First Zagreb Index of Some Graph Operations," Mathematics, MDPI, vol. 3(4), pages 1-16, October.
    • Handle: RePEc:gam:jmathe:v:3:y:2015:i:4:p:945-960:d:57337
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