The PI and Edge Szeged Indices of One-Heptagonal Carbon Nanocones

被引:14
|
作者
Ashrafi, Ali Reza [1 ]
Gholami-Nezhaad, Farzaneh [1 ]
机构
[1] Univ Kashan, Inst Nanosci & Nanotechnol, Kashan 87317, Iran
关键词
One pentagonal carbon nanocone; PI index; edge Szeged index; WIENER INDEX; ARMCHAIR POLYHEX; TUC4C8(R);
D O I
10.2174/157341309787314629
中图分类号
Q81 [生物工程学(生物技术)]; Q93 [微生物学];
学科分类号
071005 ; 0836 ; 090102 ; 100705 ;
摘要
The Padmakar-Ivan (PI) index of a graph G is defined as PI(G) = Sigma[m(u)(e)+ m(v)(e)], where m(u)(e) is the number of edges of G lying closer to u than to v, m(v)(e) is the number of edges of G lying closer to v than to u and summation goes over all edges of G. The edge Szeged index is a new molecular structure descriptor equal to the sum of products m(u)(e)m(v)(e) over all edges e = uv of the molecular graph G. In this paper, the PI and edge Szeged indices of one-heptagonal carbon nanocone CNC7[n] computed for the first time.
引用
收藏
页码:51 / 53
页数:3
相关论文
共 50 条
  • [1] PI and Szeged indices of one-pentagonal carbon nanocones
    Institute of Nanoscience and Nanotechnology, University of Kashan, Kashan 87317-51167, Iran
    J. Comput. Theor. Nanosci., 2007, 4 (761-763):
  • [2] PI and Szeged indices of one-pentagonal carbon nanocones
    Ashrafi, Ali Reza
    Saati, Hamid
    JOURNAL OF COMPUTATIONAL AND THEORETICAL NANOSCIENCE, 2007, 4 (04) : 761 - 763
  • [3] Edge Metric Dimension and Edge Basis of One-Heptagonal Carbon Nanocone Network
    Sharma, Karnika
    Bhat, Vijay Kumar
    Sharma, Sunny Kumar
    IEEE ACCESS, 2022, 10 : 29558 - 29566
  • [4] The PI and edge Szeged indices of CNC3[n] and CNC4[n] carbon nanocones
    Ashrafi, Ali Reza
    Gholami-Nezhaad, Farzaneh
    OPTOELECTRONICS AND ADVANCED MATERIALS-RAPID COMMUNICATIONS, 2010, 4 (04): : 531 - 533
  • [5] PI, Szeged and Edge Szeged Indices of Nanostar Dendrimers
    Ashrafi, Ali Reza
    Mirzargar, Mahsa
    UTILITAS MATHEMATICA, 2008, 77 : 249 - 255
  • [6] On Wiener Index of One-Heptagonal Nanocone
    Ashrafi, Ali Reza
    Abadi, Zohreh Mohammad
    CURRENT NANOSCIENCE, 2012, 8 (01) : 180 - 185
  • [7] The Hosoya Polynomial of One-Heptagonal Nanocone
    Xu, Shou-Jun
    Zhang, Qiu-Xia
    CURRENT NANOSCIENCE, 2013, 9 (03) : 411 - 414
  • [8] A Numerical Method for Computing the Wiener Index of One-Heptagonal Carbon Nanocone
    Alipour, M. A.
    Ashrafi, A. R.
    JOURNAL OF COMPUTATIONAL AND THEORETICAL NANOSCIENCE, 2009, 6 (05) : 1204 - 1207
  • [9] PI, Szeged and edge Szeged indices of an infinite family of nanostar dendrimers
    Ashrafi, Ali Reza
    Mirzargar, Mahsa
    INDIAN JOURNAL OF CHEMISTRY SECTION A-INORGANIC BIO-INORGANIC PHYSICAL THEORETICAL & ANALYTICAL CHEMISTRY, 2008, 47 (04): : 538 - 541
  • [10] Mathematical analysis of the structure of one-heptagonal carbon nanocone in terms of its basis and dimension
    Al-Qudah, Yousef
    Jaradat, Ali
    Sharma, Sunny Kumar
    Bhat, Vijay Kumar
    PHYSICA SCRIPTA, 2024, 99 (05)