论文标题

摩尔 - 柔骨对倒物的倒置

Moore-Penrose Inverses of the Signless Laplacian and Edge-Laplacian of Graphs

论文作者

Hessert, Ryan, Mallik, Sudipta

论文摘要

给定图的无标志性的拉普拉斯Q和无符号的边缘拉普拉斯可能是可逆的。研究了Q和S的Moore-Penrose对逆。特别是,使用发射矩阵,我们发现了摩尔·彭罗斯(Moore-Penrose)的Q和s的组合公式。另外,我们提出了Q和S的iNversial公式的组合公式,以用于奇数独线图。

The signless Laplacian Q and signless edge-Laplacian S of a given graph may or may not be invertible. The Moore-Penrose inverses of Q and S are studied. In particular, using the incidence matrix, we find combinatorial formulas of the Moore- Penrose inverses of Q and S for trees. Also we present combinatorial formulas of the inverses of Q and S for odd unicyclic graphs.

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