آمار
| تعداد نشریات | 6 |
| تعداد شمارهها | 122 |
| تعداد مقالات | 1,531 |
| تعداد مشاهده مقاله | 1,615,206 |
| تعداد دریافت فایل اصل مقاله | 1,513,258 |
Product version of reciprocal degree distance of composite graphs | ||
| Communications in Combinatorics and Optimization | ||
| مقاله 2، دوره 3، شماره 1، شهریور 2018، صفحه 25-35 اصل مقاله (478.63 K) | ||
| نوع مقاله: Original paper | ||
| شناسه دیجیتال (DOI): 10.22049/cco.2017.26018.1067 | ||
| نویسنده | ||
| K Pattabiraman* | ||
| Annamalai University | ||
| چکیده | ||
| A topological index of a graph is a real number related to the graph; it does not depend on labeling or pictorial representation of a graph. In this paper, we present the upper bounds for the product version of reciprocal degree distance of the tensor product, join and strong product of two graphs in terms of other graph invariants including the Harary index and Zagreb indices. | ||
| کلیدواژهها | ||
| Degree distance؛ reciprocal degree distance؛ composite graph | ||
| مراجع | ||
|
[1] Y. Alizadeh, A. Iranmanesh, and T. Došlić, Additively weighted Harary index of some composite graphs, Discrete Math. 313 (2013), no. 1, 26–34.
[2] K.C. Das, B. Zhou, and N. Trinajstić, Bounds on Harary index, J. Math. Chem. 46 (2009), no. 4, 1377–1393.
[3] J. Devillers and A.T. Balaban, Topological indices and related descriptors in QSAR and QSPAR, Gordon and Breach, Amsterdam, The Netherlands, 2000.
[4] A.A. Dobrynin and A.A. Kochetova, Degree distance of a graph: A degree analog of the Wiener index, J. Chem. Inf. Comput. Sci. 34 (1994), no. 5, 1082–1086.
[5] T. Došlić, Vertex-weighted Wiener polynomials for composite graphs, Ars Math. Contemp. 1 (2008), no. 1. 66-80.
[6] I. Gutman, Selected properties of the Schultz molecular topological index, J. Chem. Inf. Comput. Sci. 34 (1994), no. 5, 1087–1089.
[7] I. Gutman, W. Linert, I. Lukovits, and Z. Tomovič, The multiplicative version of the Wiener index, J. Chem. Inf. Comput. Sci. 40 (2000), no. 1, 113–116.
[8] I. Gutman, W. Linert, I. Lukovits, and Z. Tomovič, On the multiplicative Wiener index and its possible chemical applications, Monatshefte f¨ur Chemie/Chemical Monthly 131 (2000), no. 5, 421–427.
[9] M. Hoji, Z. Luo, and E. Vumar, Wiener and vertex PI indices of Kronecker products of graphs, Discrete Appl. Math. 158 (2010), no. 16, 1848–1855.
[10] H. Hua and S. Zhang, On the reciprocal degree distance of graphs, Discrete Appl. Math. 160 (2012), no. 7, 1152–1163.
[11] M.H. Khalifeh, H. Yousefi-Azari, and A.R. Ashrafi, Vertex and edge PI indices of Cartesian product graphs, Discrete Appl. Math. 156 (2008), no. 10, 1780–1789.
[12] K. Pattabiraman and P. Paulraja, On some topological indices of the tensor products of graphs, Discrete Appl. Math. 160 (2012), no. 3, 267–279.
[13] K. Pattabiraman and P. Paulraja, Wiener and vertex PI indices of the strong product of graphs, Discuss. Math. Graph Theory 32 (2012), no. 4, 749–769. [14] K. Xu, K.C. Das, H. Hua, and M.V. Diudea, Maximal Harary index of unicyclic graphs with given matching number, Studia Univ. Babes–Bolyai Chem. 58 (2013), 71–86.
[15] K. Xu, J. Wang, and H. Liu, The Harary index of ordinary and generalized quasitree graphs, J. Appl. Math. Comput. 45 (2014), no. 1-2, 365–374. | ||
|
آمار تعداد مشاهده مقاله: 1,664 تعداد دریافت فایل اصل مقاله: 2,129 |
||