School of Mathematics and Physics, Anhui Jianzhu University, Hefei 230601,China.
Department of Mathematical Sciences, College of Science, United Arab Emirates University, P. O. Box 15551, Al Ain,United Arab Emirates.
Comb Chem High Throughput Screen. 2022;25(3):528-535. doi: 10.2174/1386207324666210217143114.
A topological index is a real number associated with a graph that provides information about its physical and chemical properties and their correlations. Topological indices are being used successfully in Chemistry, Computer Science, and many other fields.
In this article, we apply the well-known Cartesian product on F-sums of connected and finite graphs. We formulate sharp limits for some famous degree-dependent indices.
Zagreb indices for the graph operations T(G), Q(G), S(G), R(G), and their F-sums have been computed. By using orders and sizes of component graphs, we derive bounds for Zagreb indices, F-index, and Narumi-Katayana index.
The formulation of expressions for the complicated products on F-sums, in terms of simple parameters like maximum and minimum degrees of basic graphs, reduces the computational complexities.
拓扑指数是与图相关联的实数，提供了有关其物理和化学性质及其相关性的信息。拓扑指数在化学、计算机科学和许多其他领域得到了成功应用。
在本文中，我们将著名的笛卡尔积应用于连通有限图的 F-和上。我们为一些著名的度相关指数制定了精确的限制。
计算了图运算 T(G)、Q(G)、S(G)、R(G)及其 F-和的扎格指数。通过使用组成图的阶数和大小，我们推导出了扎格指数、F-指数和 Narumi-Katayana 指数的界。
以基本图的最大和最小度数等简单参数来表示 F-和上复杂乘积的表达式，降低了计算复杂度。
