Relations between energy of graphs and wener, harary indices

Ulker, Alper

doi:10.22108/toc.2023.132397.1955

تعداد نشریات	42
تعداد شماره‌ها	1,537
تعداد مقالات	12,623
تعداد مشاهده مقاله	25,830,055
تعداد دریافت فایل اصل مقاله	10,662,083

	Relations between energy of graphs and wener, harary indices
Transactions on Combinatorics
مقالات آماده انتشار، اصلاح شده برای چاپ، انتشار آنلاین از تاریخ 09 مهر 1402 اصل مقاله (402.92 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22108/toc.2023.132397.1955
نویسنده
Alper Ulker^*
Department of Mathematics, American International University, Al Jahra, Kuwait
چکیده
Harary and Wiener indices are distance-based topological index. In this paper, we study the relations of graph energy $\varepsilon(G)$ and its Harary index $\textup{H}(G)$ and Wiener index $\textup{W}(G)$. Moreover, for a given graph $G$ we study the lower bound of $\frac{\textup{H}(G)}{\varepsilon(G)}$ and $\frac{\textup{W}(G)}{\varepsilon(G)}$ in terms of number of vertices of $G$.
کلیدواژه‌ها
Wiener index؛ Harary index؛ graph energy؛ independence number؛ dominating set

مراجع
[1] O. Arizmendi, J. F. Hidalgo and O. Juarez-Romero, Energy of a vertex, Lin. Algebra Appl., 557 (2018) 464–495. [2] G. Arizmendi and O. Arizmendi, Energy of a graph and Randic index, Lin. Algebra Appl., 609 (2021) 332–338. [3] O. Arizmendi, B. C. Luna-Olivera and M. Ramirez Ibanez, Coulson integral formula for the vertex energy of a graph, Lin. Algebra Appl., 580 (2019) 166–183. [4] I. Gutman, The energy of a graph, Ber. Math. Stat. Sekt. Forschungsz. Graz, 103 (1978) 1–22. [5] O. Ivanciuc, T. S. Balaban and A. T. Balaban, Reciprocal distance matrix related local vertex invariants and topological indices, J. Math. Chem., 12 (1993) 309–318. [6] R. Moghimipor, On the Wiener index of Cohen-Macaulay and very well-covered graphs, Australas. J. Combin., 81 (2021) 46–57. [7] D. Plavsic, S. Nikolic, N. Trinajstic and Z. Mihalic, On the Harary index for the charcterization of chemical graphs, J. Math. Chem., 12 (1993) 235–250. [8] H. Wiener, Structural determination of paraffin boiling points, J. Amer. Chem. Soc., 69 (1947) 17–20. [9] X. Li, Y. Shi and I. Gutman, Graph Energy, Springer, New York, 2012.
آمار تعداد مشاهده مقاله: 25 تعداد دریافت فایل اصل مقاله: 40

سامانه مدیریت نشریات علمی. قدرت گرفته از سیناوب

پیوندهای مفید

اخبار و اعلانات

آمار

Relations between energy of graphs and wener, harary indices