English

F-index of graphs based on four operations related to the lexicographic product

Discrete Mathematics 2017-06-05 v1 Combinatorics

Abstract

The forgotten topological index or F-index of a graph is defined as the sum of cubes of the degree of all the vertices of the graph. In this paper we study the F-index of four operations related to the lexicographic product on graphs which were introduced by Sarala et al. [D. Sarala, H. Deng, S.K. Ayyaswamya and S. Balachandrana, The Zagreb indices of graphs based on four new operations related to the lexicographic product, \textit{Applied Mathematics and Computation}, 309 (2017) 156--169.].

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Cite

@article{arxiv.1706.00464,
  title  = {F-index of graphs based on four operations related to the lexicographic product},
  author = {Nilanjan De},
  journal= {arXiv preprint arXiv:1706.00464},
  year   = {2017}
}

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13 pages