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On leap Zagreb indices of bridge and chain graphs

  • Received: 26 June 2020 Accepted: 13 August 2020 Published: 20 August 2020
  • MSC : 05C07, 05C35, 05C40

  • The 2-degree of a vertex v in a (molecular) graph G is the number of vertices which are at distance two from v in G. The first leap Zagreb index of a graph G is the sum of squares of the 2-degree of all vertices in G and the third leap Zagreb index of G is the sum of product of the degree and 2-degree of every vertex v in G. In this paper, we compute the first and third leap Zagreb indices of bridge and chain graphs. Also we apply these results to determine the first and third leap Zagreb indices of some chemical structures such as polyphenyl chains and spiro chains.

    Citation: Natarajan Chidambaram, Swathi Mohandoss, Xinjie Yu, Xiujun Zhang. On leap Zagreb indices of bridge and chain graphs[J]. AIMS Mathematics, 2020, 5(6): 6521-6536. doi: 10.3934/math.2020420

    Related Papers:

  • The 2-degree of a vertex v in a (molecular) graph G is the number of vertices which are at distance two from v in G. The first leap Zagreb index of a graph G is the sum of squares of the 2-degree of all vertices in G and the third leap Zagreb index of G is the sum of product of the degree and 2-degree of every vertex v in G. In this paper, we compute the first and third leap Zagreb indices of bridge and chain graphs. Also we apply these results to determine the first and third leap Zagreb indices of some chemical structures such as polyphenyl chains and spiro chains.


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