F-index and hyper-Zagreb index of four new tensor products of graphs and their complements

被引：6
|
作者：
Basavanagoud, B. [1 ]
Barangi, Anand P. [1 ]
机构：
[1] Karnatak Univ, Dept Math, Dharwad 580003, Karnataka, India
来源：
DISCRETE MATHEMATICS ALGORITHMS AND APPLICATIONS | 2019年 / 11卷 / 03期
关键词：
Tensor product; hyper-Zagreb index; F-index; TOPOLOGICAL INDEXES; MOLECULAR-ORBITALS; 1ST; OPERATIONS; PI;
D O I：
10.1142/S1793830919500393
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
For a molecular graph G, the F-index or forgotten topological index is defined as the sum of cubes of degree of all vertices of the graph and the hyper-Zagreb index is equal to the sum of square of sum of degree of all adjacent vertices of the graph. In this paper, we obtain F-index, hyper-Zagreb index and their coindices of F-tensor products (four new tensor products based on transformations of a graph) of graphs and their complements.
引用
收藏
页数：14
相关论文
共 36 条
  • [21] Bounds on F-index of tricyclic graphs with fixed pendant vertices
    Akram, Sana
    Javaid, Muhammad
    Jamal, Muhammad
    OPEN MATHEMATICS, 2020, 18 : 150 - 161
  • [22] Four New Sums of Second Hyper Zagreb Index Based on Cartesian Product
    Aruvi, M.
    Joseph, J. Maria
    Ramganesh, E.
    COMMUNICATIONS IN MATHEMATICS AND APPLICATIONS, 2021, 12 (02): : 253 - 262
  • [23] Sharp upper bounds of F-index among bicyclic graphs
    Khoeilar, R.
    Jahanbani, A.
    Shahbazi, L.
    Rodriguez, J.
    ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2022, 15 (03)
  • [24] VL INDEX AND BOUNDS FOR THE TENSOR PRODUCTS OF F-SUM GRAPHS
    Deepika, T.
    TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, 2021, 11 (02): : 374 - 385
  • [25] An investigation of edge F-index on fuzzy graphs and application in molecular chemistry
    Islam, Sk Rabiul
    Pal, Madhumangal
    COMPLEX & INTELLIGENT SYSTEMS, 2023, 9 (02) : 2043 - 2063
  • [26] Sharp upper bounds for the F-index of bipartite graphs with a given diameter
    Li, Shuli
    Ge, Jun
    ARS COMBINATORIA, 2019, 146 : 143 - 155
  • [27] First General Zagreb Index of Generalized F-sum Graphs
    Awais, H. M.
    Javaid, Muhammad
    Ali, Akbar
    DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2020, 2020
  • [28] An investigation of edge F-index on fuzzy graphs and application in molecular chemistry
    Sk Rabiul Islam
    Madhumangal Pal
    Complex & Intelligent Systems, 2023, 9 : 2043 - 2063
  • [29] RETRACTED: The Reformulated F-Index of Vertex and Edge F-Join of Graphs (Retracted Article)
    Maji, Durbar
    Ghorai, Ganesh
    Shami, Faria Ahmed
    JOURNAL OF CHEMISTRY, 2022, 2022
  • [30] On y-Wiener index and Wiener polarity index of tensor products of graphs
    Ou, Jianping
    Feng, Xing
    INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS & STATISTICS, 2013, 42 (12): : 249 - 256
1234