论文标题
Mobius Polyomino网络的Laplacian和标准化的Laplacian光谱及其应用
The Laplacian and normalized Laplacian spectra of Mobius polyomino networks and their applications
论文作者
论文摘要
光谱理论已广泛用于复杂的网络，并解决了一些实际问题。在本文中，我们通过使用光谱理论研究了Mobius Polyomino网络的Laplacian和标准化的Laplacian光谱。令MN表示Mobius Polyomino网络（n> = 3）。随着获得的结果的应用，获得了Kirchhoff指数，乘法度 - 基尔chhoff指数，Kemeny的常数和MN的跨树木。此外，令人惊讶的是，发现MN的乘法度kirchhoff指数是Kirchhoff指数的九倍。
Spectral theory has widely used in complex networks and solved some practical problems. In this paper, we investigated the Laplacian and normalized Laplacian spectra of Mobius polyomino networks by using spectral theory. Let Mn denote Mobius polyomino networks (n>=3). As applications of the obtained results, the Kirchhoff index, multiplicative degree-Kirchhoff index, Kemeny's constant and spanning trees of Mn are obtained. Moreover, it is surprising to find that the multiplicative degree-Kirchhoff index of Mn is nine times as much as the Kirchhoff index.
