Harary and hyper-Wiener indices of some graph operations

被引:1
作者
Balamoorthy, S. [1 ]
Kavaskar, T. [1 ]
Vinothkumar, K. [1 ]
机构
[1] Cent Univ Tamil Nadu, Dept Math, Thiruvarur 610005, India
关键词
Harary index; Hyper-Wiener index; H-generalized join; Generalized corona product; ZERO-DIVISOR GRAPH; SPECTRA;
D O I
10.1186/s13660-024-03112-6
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we obtain the Harary index and the hyper-Wiener index of the H-generalized join of graphs and the generalized corona product of graphs. As a consequence, we deduce some of the results in (Das et al. in J. Inequal. Appl. 2013:339, 2013) and (Khalifeh et al. in Comput. Math. Appl. 56:1402-1407, 2008). Moreover, we calculate the Harary index and the hyper-Wiener index of the ideal-based zero-divisor graph of a ring.
引用
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页数:17
相关论文
共 21 条
[1]   Zero-divisor graphs, von Neumann regular rings, and Boolean algebras [J].
Anderson, DF ;
Levy, R ;
Shapiro, J .
JOURNAL OF PURE AND APPLIED ALGEBRA, 2003, 180 (03) :221-241
[2]  
Atani SE, 2009, GLAS MAT, V44, P141
[3]   Wiener index of an ideal-based zero-divisor graph of commutative ring with unity [J].
Balamoorthy, S. ;
Kavaskar, T. ;
Vinothkumar, K. .
AKCE INTERNATIONAL JOURNAL OF GRAPHS AND COMBINATORICS, 2024, 21 (02) :111-119
[4]   On the Harary index of graph operations [J].
Das, Kinkar C. ;
Xu, Kexiang ;
Cangul, Ismail Naci ;
Cevik, Ahmet Sinan ;
Graovac, Ante .
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
[5]   Bounds on Harary index [J].
Das, Kinkar Ch. ;
Zhou, Bo ;
Trinajstic, N. .
JOURNAL OF MATHEMATICAL CHEMISTRY, 2009, 46 (04) :1377-1393
[6]   Zagreb, Harary and hyper-Wiener indices of graphs with a given matching number [J].
Feng, Lihua ;
Ilic, Aleksandar .
APPLIED MATHEMATICS LETTERS, 2010, 23 (08) :943-948
[7]   DESIGN OF TOPOLOGICAL INDEXES .4. RECIPROCAL DISTANCE MATRIX, RELATED LOCAL VERTEX INVARIANTS AND TOPOLOGICAL INDEXES [J].
IVANCIUC, O ;
BALABAN, TS ;
BALABAN, AT .
JOURNAL OF MATHEMATICAL CHEMISTRY, 1993, 12 (1-4) :309-318
[8]   The hyper-Wiener index of graph operations [J].
Khalifeh, M. H. ;
Yousefi-Azari, H. ;
Ashrafi, A. R. .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2008, 56 (05) :1402-1407
[9]   Spectra of generalized corona of graphs [J].
Laali, A. R. Fiuj ;
Javadi, H. Haj Seyyed ;
Kiani, Dariush .
LINEAR ALGEBRA AND ITS APPLICATIONS, 2016, 493 :411-425
[10]   Zero-divisor graph with respect to an ideal [J].
Maimani, HR ;
Pournaki, MR ;
Yassemi, S .
COMMUNICATIONS IN ALGEBRA, 2006, 34 (03) :923-929