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Relations between energy of graphs and wener, harary indices | ||
Transactions on Combinatorics | ||
مقاله 7، دوره 13، شماره 3، آذر 2024، صفحه 279-286 اصل مقاله (405.43 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. [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. | ||
آمار تعداد مشاهده مقاله: 149 تعداد دریافت فایل اصل مقاله: 210 |