대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제30권3호
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  • Pages.283-295
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  • 2015
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  • 1225-1763(pISSN)
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  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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EXTREMAL ATOM-BOND CONNECTIVITY INDEX OF CACTUS GRAPHS

  • ASHRAFI, ALI REZA (Department of Pure Mathematics Faculty of Mathematical Science University of Kashan) ;
  • DEHGHAN-ZADEH, TAYEBEH (Department of Pure Mathematics Faculty of Mathematical Science University of Kashan) ;
  • HABIBI, NADER (Department of Mathematics Faculty of Science University of Ayatollah Ozma Boroujerdi)
  • 투고 : 2014.03.16
  • 발행 : 2015.06.30
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초록

The atom-bond connectivity index of a graph G (ABC index for short) is defined as the summation of quantities $\sqrt{\frac{d(u)+d(v)-2}{d(u)d(v)}}$ over all edges of G. A cactus graph is a connected graph in which every block is an edge or a cycle. The aim of this paper is to obtain the first and second maximum values of the ABC index among all n vertex cactus graphs.

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참고문헌

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피인용 문헌

  1. The first multiplication atom-bond connectivity index of molecular structures in drugs vol.25, pp.4, 2017, https://doi.org/10.1016/j.jsps.2017.04.021