The Exdeg Polynomial of Some Graph Operations and Applications in Nanoscience

被引：16
|
作者：
Yarahmadi, Z. [1 ]
Ashrafi, A. R. [1 ]
机构：
[1] Univ Kashan, Inst Nanosci & Nanotechnol, Dept Nanocomp, Kashan 8731751167, Iran
来源：
JOURNAL OF COMPUTATIONAL AND THEORETICAL NANOSCIENCE | 2015年 / 12卷 / 01期
关键词：
Variable Sum Exdeg Index; Variable Sum Exdeg Polynomial; Graph Operation; TC4C8(R) Nanotorus; TC4C8(S) Nanotorus; INFINITE FAMILY; WIENER INDEX; PI INDEXES; VERTEX PI;
D O I：
10.1166/jctn.2015.3696
中图分类号：
O6 [化学];
学科分类号：
0703 ;
摘要：
The variable sum exdeg index of a graph G is defined by SEl(a)(G) = Sigma ub epsilon E(G)[a(degG(u))], where a not equal 1 is a positive real number. In this paper the notion of variable sum exdeg polynomial of a connected graph is presented. The effects of this polynomial under some graph operations are computed. As an application the behaviour of some nanotubes and nanotori under this polynomial are investigated.
引用
收藏
页码：46 / 51
页数：6
相关论文
共 50 条
  • [41] F-Index of some graph operations
    De, Nilanjan
    Abu Nayeem, Sk Md
    Pal, Anita
    DISCRETE MATHEMATICS ALGORITHMS AND APPLICATIONS, 2016, 8 (02)
  • [42] Convex sets under some graph operations
    Canoy, SR
    Garces, IJL
    GRAPHS AND COMBINATORICS, 2002, 18 (04) : 787 - 793
  • [43] The modified Wiener index of some graph operations
    Ashrafi, Ali Reza
    Shabani, Hossein
    ARS MATHEMATICA CONTEMPORANEA, 2016, 11 (02) : 277 - 284
  • [44] Semitotal domination number of some graph operations
    Yildiz, Zeliha Kartal
    Aytac, Aysun
    NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2023, 39 (03) : 1841 - 1850
  • [45] Convex Sets Under Some Graph Operations
    Sergio R. Canoy, Jr.
    I.J.L. Garces
    Graphs and Combinatorics, 2002, 18 (4) : 787 - 793
  • [46] Star coloring under some graph operations
    Mahdavi, B. Akhavan
    Tavakoli, M.
    Rahbarnia, F.
    Ashrafi, Alireza
    ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2022, 15 (04)
  • [47] Kirchhoff index of graphs and some graph operations
    Nikseresht, A.
    Sepasdar, Z.
    Shirdareh-Haghighi, M. H.
    PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2014, 124 (03): : 281 - 289
  • [48] Strong domination number of some operations on a graph
    Alikhani, Saeid
    Ghanbari, Nima
    Zaherifar, Hassan
    COMMUNICATIONS IN COMBINATORICS AND OPTIMIZATION, 2024, 9 (04) : 773 - 783
  • [49] Edge Metric Dimension of Some Graph Operations
    Iztok Peterin
    Ismael G. Yero
    Bulletin of the Malaysian Mathematical Sciences Society, 2020, 43 : 2465 - 2477
  • [50] LIST COLORING UNDER SOME GRAPH OPERATIONS
    DAS, K. I. N. K. A. R. C. H. A. N. D. R. A.
    BAKAEIN, S. A. M. A. N. E.
    TAVAKOLI, M. O. S. T. A. F. A.
    RAHBARNIA, F. R. E. Y. D. O. O. N.
    ASHRAFI, A. L. I. R. E. Z. A.
    KRAGUJEVAC JOURNAL OF MATHEMATICS, 2022, 46 (03): : 417 - 431
12345