两个循环网络补图的距离特征值、转发指数和基于距离的拓扑指数
Distance Eigenvalues, Forwarding Indices, and Distance-based Topological Indices of Complement of Two Circulant Networks
摘要:
令$n$和$a$是正整数,使得$2\leq a\leq \frac{n}{2}$。本文计算了循环网络补$C_n(1,a)$和$C_{m^h}(1,m,m^2,\ldots,m^{h-1})$的距离谱半径、顶点转发指数和一些基于距离的拓扑指数的精确值。对于$a\neq \frac{n}{2}$,循环$C_n(1,a)$称为双环网络,而循环$C_{m^h}(1,m,m^2,\ldots,m^{h-1})$称为$m^h$顶点上的乘法循环网络。
英文摘要:
Let $n$ and $a$ be positive integers such that $2\leq a\leq \frac{n}{2}$. In this short note, we compute for the exact value of the distance spectral radius, vertex-forwarding index, and some distance-based topological indices of the complement of circulant networks $C_n(1,a)$ and $C_{m^h}(1,m,m^2,\ldots,m^{h-1})$. For $a\neq \frac{n}{2}$, the circulant $C_n(1,a)$ is called a double loop network while the circulant $C_{m^h}(1,m,m^2,\ldots,m^{h-1})$ is called the multiplicative circulant network on $m^h$ vertices.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。