Reformulated First Zagreb Index of Some Graph Operations
Department of Basic Sciences and Humanities (Mathematics), Calcutta Institute of Engineering and Management, Kolkata 700040, India
Department of Mathematics, Aliah University, DN-20, Sector-V, Salt Lake, Kolkata 700091, India
Department of Mathematics, National Institute of Technology, Durgapur 713209, India
Author to whom correspondence should be addressed.
Academic Editor: Lokenath Debnath
Received: 18 July 2015 / Accepted: 13 October 2015 / Published: 16 October 2015
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.
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MDPI and ACS Style
De, N.; Nayeem, S.M.A.; Pal, A. Reformulated First Zagreb Index of Some Graph Operations. Mathematics 2015, 3, 945-960.
De N, Nayeem SMA, Pal A. Reformulated First Zagreb Index of Some Graph Operations. Mathematics. 2015; 3(4):945-960.
De, Nilanjan; Nayeem, Sk. M.A.; Pal, Anita. 2015. "Reformulated First Zagreb Index of Some Graph Operations." Mathematics 3, no. 4: 945-960.
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