Topological indices for random spider trees

被引：0
|
作者：
Sigarreta, Sayle [1 ]
Sigarreta, Sayli [1 ]
Cruz-Suarez, Hugo [1 ]
机构：
[1] Benemerita Univ Autonoma Puebla, Ave San Claudio & Rio Verde, Puebla 72570, Puebla, Mexico
来源：
MAIN GROUP METAL CHEMISTRY | 2023年 / 46卷 / 01期
关键词：
theoretical chemistry; random trees; spider trees; Gini index; Zagreb index; topological indices; 1ST ZAGREB INDEX; TETRAHEDRAL SHEETS; GRAPH-THEORY; CONNECTIVITY; EDGE;
D O I：
10.1515/mgmc-2022-0025
中图分类号：
O61 [无机化学];
学科分类号：
070301 ; 081704 ;
摘要：
In this study, we characterize the structure and some topological indices of a class of random spider trees (RSTs) such as degree-based Gini index, degree-based Hoover index, generalized Zagreb index, and other indices associated with these. We obtain the exact and asymptotic distributions of the number of leaves via probabilistic methods. Moreover, we relate this model to the class of RSTs that evolves in a preferential attachment manner.
引用
收藏
页数：10
相关论文
共 50 条
  • [41] Expected values of sum-based topological indices of random cyclodecane chains
    Tang, Jiang-Hua
    Yousaf, Shamaila
    Javaid Ashraf, Maryam
    Tawfiq, Ferdous M. O.
    Aslam, Adnan
    PHYSICA SCRIPTA, 2024, 99 (03)
  • [42] Natural/random protein classification models based on star network topological indices
    Munteanu, Cristian Robert
    Gonzalez-Diaz, Humberto
    Borges, Fernanda
    de Magalhaes, Alexandre Lopes
    JOURNAL OF THEORETICAL BIOLOGY, 2008, 254 (04) : 775 - 783
  • [43] THE MODIFIED FORGOTTEN TOPOLOGICAL INDEX OF RANDOM b-ARY RECURSIVE TREES
    Naeini, Hojjat
    Kazemi, Ramin
    Behzadi, Mohammad Hasan
    UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2018, 80 (04): : 125 - 132
  • [44] RANDOM TREES IN A GRAPH AND TREES IN A RANDOM GRAPH
    JANSON, S
    MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1986, 100 : 319 - 330
  • [45] The Path and the Star as Extremal Values of Vertex-Degree-Based Topological Indices Among Trees
    Cruz, Roberto
    Rada, Juan
    MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY, 2019, 82 (03) : 715 - 732
  • [46] Note on Minimizing Degree-Based Topological Indices of Trees with Given Number of Pendent Vertices
    Goubko, Mikhail
    Reti, Tamas
    MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY, 2014, 72 (03) : 633 - 639
  • [47] Some Vertex/Edge-Degree-Based Topological Indices of r-Apex Trees
    Ali, Akbar
    Iqbal, Waqas
    Raza, Zahid
    Ali, Ekram E.
    Liu, Jia-Bao
    Ahmad, Farooq
    Chaudhry, Qasim Ali
    JOURNAL OF MATHEMATICS, 2021, 2021
  • [48] The expected values and variances for degree-based topological indices in three random chains
    Zhang, Weilin
    You, Lihua
    Liu, Hechao
    Fang, Xiaona
    FILOMAT, 2024, 38 (18) : 6563 - 6580
  • [49] Random Recursive Trees and Preferential Attachment Trees are Random Split Trees
    Janson, Svante
    COMBINATORICS PROBABILITY & COMPUTING, 2019, 28 (01): : 81 - 99
  • [50] The expected values and variances for degree-based topological indices in random spiro chains
    Zhang, Weilin
    You, Lihua
    Liu, Hechao
    Fang, Xiaona
    JOURNAL OF SUPERCOMPUTING, 2025, 81 (01):
12345