论文标题

车轮图的发病率和拉普拉斯矩阵

Incidence and Laplacian matrices of wheel graphs and their inverses

论文作者

Ipsen, Jerad, Mallik, Sudipta

论文摘要

找到摩尔 - 柔骨的发生率,拉普拉斯式和无价的laplacian矩阵的摩尔 - 芬罗属,这是一个空旷的问题,除了树木和独轮图外。由于用于奇数独立图和均匀图的逆公式截然不同,因此我们考虑使用奇数甚至循环形成的车轮图。在本文中,解决了车轮图的开放问题。这项工作与循环矩阵的倒置有有趣的联系。

It has been an open problem to find the Moore-Penrose inverses of the incidence, Laplacian, and signless Laplacian matrices of families of graphs except trees and unicyclic graphs. Since the inverse formulas for an odd unicyclic graph and an even unicyclic graph are quite different, we consider wheel graphs as they are formed from odd or even cycles. In this article solve the open problem for wheel graphs. This work has an interesting connection to inverses of circulant matrices.

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