Some properties of the second Zagreb index

被引:0
|
作者
Das, KC [1 ]
Gutman, I
机构
[1] Indian Inst Technol, Dept Math, Kharagpur 721302, W Bengal, India
[2] Univ Kragujevac, Fac Sci, YU-34000 Kragujevac, Serbia
关键词
D O I
暂无
中图分类号
O6 [化学];
学科分类号
0703 ;
摘要
The graph invariant M-2, known under the name second Zagreb index, equal to the sum of the products of the degrees of pairs of adjacent vertices of the respective (molecular) graph, was first considered in 1972. Since then, almost no result for M-2 was communicated in either the chemical or in mathematical literature. In this paper we state and prove a number of results for M-2 - identities and inequalities, including relations between the M-2-index of a graph and its complement.
引用
收藏
页码:103 / 112
页数:10
相关论文
共 50 条
  • [1] Some Basic Properties of the Second Multiplicative Zagreb Eccentricity Index
    Azari, Mahdieh
    [J]. IRANIAN JOURNAL OF MATHEMATICAL CHEMISTRY, 2024, 15 (01): : 17 - 25
  • [2] Further Properties of the Second Zagreb Index
    da Fonseca, Carlos M.
    Stevanovic, Dragan
    [J]. MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY, 2014, 72 (03) : 655 - 668
  • [3] Some properties of the first general Zagreb index
    Liu, Muhuo
    Liu, Bolian
    [J]. AUSTRALASIAN JOURNAL OF COMBINATORICS, 2010, 47 : 285 - 294
  • [4] Some properties of the neighborhood first Zagreb index
    Reti, Tamas
    Ali, Akbar
    Varga, Peter
    Bitay, Eniko
    [J]. DISCRETE MATHEMATICS LETTERS, 2019, 2 : 10 - 17
  • [5] On reduced second Zagreb index
    Lkhagva Buyantogtokh
    Batmend Horoldagva
    Kinkar Chandra Das
    [J]. Journal of Combinatorial Optimization, 2020, 39 : 776 - 791
  • [6] On reduced second Zagreb index
    Buyantogtokh, Lkhagva
    Horoldagva, Batmend
    Das, Kinkar Chandra
    [J]. JOURNAL OF COMBINATORIAL OPTIMIZATION, 2020, 39 (03) : 776 - 791
  • [7] ON THE REDUCED SECOND ZAGREB INDEX OF GRAPHS
    Gao, Fang
    Xu, Kexiang
    [J]. ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2020, 50 (03) : 975 - 988
  • [8] TREES WITH THE MINIMAL SECOND ZAGREB INDEX
    Eliasi, M.
    Ghalavand, A.
    [J]. KRAGUJEVAC JOURNAL OF MATHEMATICS, 2018, 42 (03): : 325 - 333
  • [9] On the Second Order First Zagreb Index
    Basavanagoud, B.
    Patil, S.
    Deng, H.
    [J]. IRANIAN JOURNAL OF MATHEMATICAL CHEMISTRY, 2017, 8 (03): : 299 - 311
  • [10] The hyper-Zagreb index and some Hamiltonian properties of graphs
    Li, Rao
    [J]. DISCRETE MATHEMATICS LETTERS, 2019, 1 : 54 - 58