FIRST REFORMULATED ZAGREB INDEX AND SOME GRAPH OPERATIONS

被引：0
|
作者：
Jamil, Muhammad Kamran [1 ]
Tomescu, Ioan [2 ]
机构：
[1] Govt Coll Univ, Abdus Salam Sch Math Sci, Lahore, Pakistan
[2] Univ Bucharest, Fac Math & Comp Sci, Str Acad 14, Bucharest 010014, Romania
来源：
ARS COMBINATORIA | 2018年 / 138卷
关键词：
first reformulated Zagreb index; graph operations; C-4; nanotube; rectangular grid; open fence; Fan graph; wheel;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper some exact expressions for the first reformulated Zagreb index of graph operations containing Cartesian product, composition, join, corona product, splice, link and chain of graphs will be presented. We apply these results to some graphs to chemical and general interest, such as C-4 nanotube, rectangular grid, open fence, Fan graph, wheel.
引用
收藏
页码：193 / 209
页数：17
相关论文
共 50 条
  • [1] Reformulated First Zagreb Index of Some Graph Operations
    De, Nilanjan
    Abu Nayeem, Sk. Md.
    Pal, Anita
    MATHEMATICS, 2015, 3 (04): : 945 - 960
  • [2] First reformulated Zagreb index of four graph operations
    Arshad, Misbah
    Irfan, Rida
    Zahid, Manzoor Ahmad
    Kanwal, Salma
    Jamil, Muhammad Kamran
    ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2021, (45): : 952 - 965
  • [3] RETRACTED: On the Reformulated Second Zagreb Index of Graph Operations (Retracted Article)
    Maji, Durbar
    Ghorai, Ganesh
    Gaba, Yae Ulrich
    JOURNAL OF CHEMISTRY, 2021, 2021
  • [4] A note on the first reformulated Zagreb index
    Milovanovic, E. I.
    Milovanovic, I. Z.
    Dolicanin, E. C.
    Glogic, E.
    APPLIED MATHEMATICS AND COMPUTATION, 2016, 273 : 16 - 20
  • [5] The hyper-Zagreb index and some graph operations
    Wei Gao
    Muhammad Kamran Jamil
    Mohammad Reza Farahani
    Journal of Applied Mathematics and Computing, 2017, 54 : 263 - 275
  • [6] The hyper-Zagreb index and some graph operations
    Gao, Wei
    Jamil, Muhammad Kamran
    Farahani, Mohammad Reza
    JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2017, 54 (1-2) : 263 - 275
  • [7] The first leap Zagreb coindex of some graph operations
    Ferdose, Asfiya
    Shivashakara, K.
    COMMUNICATIONS IN COMBINATORICS AND OPTIMIZATION, 2023,
  • [8] The first and second Zagreb indices of some graph operations
    Khalifeh, M. H.
    Yousefi-Azari, H.
    Ashrafi, A. R.
    DISCRETE APPLIED MATHEMATICS, 2009, 157 (04) : 804 - 811
  • [9] SOME INEQUALITIES FOR THE MULTIPLICATIVE SUM ZAGREB INDEX OF GRAPH OPERATIONS
    Azari, Mahdieh
    Iranmanesh, Ali
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2015, 9 (03): : 727 - 738
  • [10] RETRACTION: On the Reformulated Second Zagreb Index of Graph Operations (Retraction of Vol 2021, art no 9289534, 2021)
    Maji, D.
    Ghorai, G.
    Gaba, Y. U.
    JOURNAL OF CHEMISTRY, 2023, 2023
12345