Certain Topological Indices and Polynomials for Semitotal Line Graph and its Line Graph for Dutch Windmill Graph

被引：0
|
作者：
Kanwal, Salma [1 ]
Rauf, Asia [2 ]
Malik, Shabnam [3 ]
Sumbal, Tahira [1 ]
Arshad, Misbah [4 ]
Irfan, Rida [4 ]
Manzoor, Ayesha [1 ]
机构：
[1] Lahore Coll Women Univ, Lahore, Pakistan
[2] Govt Coll Women Univ, Faisalabad, Pakistan
[3] Forman Christian Coll, Lahore, Pakistan
[4] Comsats Univ Islamabad, Sahiwal Campus, Islamabad, Pakistan
来源：
UTILITAS MATHEMATICA | 2020年 / 117卷
关键词：
Dutch windmill graph; Operations on graphs; Subdivision of graph; Semi total line graph; Line graph; ZAGREB INDEXES;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Dutch windmill graph [1,2] and denoted by D-n(m). Order and size of Dutch windmill graph are (n-1)m+1 and mn respectively. In this paper, we computed certain topological indices and polynomials i.e. Zagreb polynomials, hyper Zagreb index, Redefined Zagreb indices, modified first Zagreb index, Reduced second Zagreb index, Reduced Reciprocal Randle index, 1st Gourava index, 2nd Gourava index, 1st hyper Gourava index, 2nd hyper Gourava index, Product connectivity Gourava index, Sum connectivity Gourava index, Forgotten index, Forgotten polynomials, M-polynomials and some topological indices in terms of M-polynomials i.e. 1st Zagreb index, 2nd Zagreb index, Modified 2nd Zagreb index, Randle index, Reciprocal Rancho index, Symmetric division index, Harmonic index, Inverse Sum indeg index, Augmented Zagreb index for the semitotal line graph and line graph of semitotal line graph for Dutch windmill graph.
引用
下载
收藏
页码：3 / 32
页数：30
相关论文
共 50 条
  • [1] Certain Topological Indices of Line Graph of Dutch Windmill Graphs
    Sardar, Muhammad S.
    Zafar, Sohail
    Zahid, Zohaib
    Farahani, Mohammad R.
    Wang, Shaohui
    Naduvath, Sudev
    SOUTHEAST ASIAN BULLETIN OF MATHEMATICS, 2020, 44 (01) : 119 - 129
  • [2] On certain topological indices of the line graph of subdivision graphs
    Nadeem, Muhammad Faisal
    Zafar, Sohail
    Zahid, Zohaib
    APPLIED MATHEMATICS AND COMPUTATION, 2015, 271 : 790 - 794
  • [3] Topological indices of the subdivision graph and the line graph of subdivision graph of the wheel graph
    Belay, Melaku Berhe
    Wang, Chunxiang
    Khalaf, Abdul Jalil M.
    Hosseini, Hamid
    Farahani, Mohammad Reza
    JOURNAL OF DISCRETE MATHEMATICAL SCIENCES & CRYPTOGRAPHY, 2021, 24 (02): : 589 - 601
  • [4] Topological indices based on the line graph of the molecular graph
    Gutman, I
    Estrada, E
    JOURNAL OF CHEMICAL INFORMATION AND COMPUTER SCIENCES, 1996, 36 (03): : 541 - 543
  • [5] On Topological Indices of Total Graph and Its Line Graph for Kragujevac Tree Networks
    Kanwal, Salma
    Riasat, Ayesha
    Siddiqui, Muhammad Kamran
    Malik, Shabnam
    Sarwar, Khadija
    Ammara, Afzal
    Anton, Asare-Tuah
    COMPLEXITY, 2021, 2021
  • [6] On certain topological indices of the line graph of CNCk[n] nanocones
    Huo Y.
    Liu J.-B.
    Zahid Z.
    Zafar S.
    Farahani M.R.
    Nadeem M.F.
    Journal of Computational and Theoretical Nanoscience, 2016, 13 (07) : 4318 - 4322
  • [7] Vertex-Based Topological Indices of Double and Strong Double Graph of Dutch Windmill Graph
    Ali, Muhammad Asad
    Sardar, Muhammad Shoaib
    Siddique, Imran
    Alrowaili, Dalal
    JOURNAL OF CHEMISTRY, 2021, 2021
  • [8] General Randic indices of a graph and its line graph
    Liang, Yan
    Wu, Baoyindureng
    OPEN MATHEMATICS, 2023, 21 (01):
  • [9] Topological Indices and Properties of the Prime Ideal Graph of a Commutative Ring and its Line Graph
    Syarifudin, Abdul Gazir
    Muchtadi-Alamsyah, Intan
    Suwastika, Erma
    CONTEMPORARY MATHEMATICS, 2024, 5 (02): : 1349 - 1354
  • [10] SOME ADRIATIC INDICES OF DUTCH WINDMILL GRAPH USING GRAPH OPERATOR
    Lokesha, V
    Jain, Sushmitha
    Manjunath, M.
    ADVANCES AND APPLICATIONS IN DISCRETE MATHEMATICS, 2019, 22 (02): : 127 - 137
12345