2018 | OriginalPaper | Chapter
The Group Inverse of the Laplacian Matrix of a Graph
Author : Stephen Kirkland
Published in: Combinatorial Matrix Theory
Publisher: Springer International Publishing
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What follows is a short, selective tour of some of the connections between weighted graphs and the group inverses of their associated Laplacian matrices. The presentation below draws heavily from Kirkland–Neumann [11, Ch. 7], and the interested reader can find further results on the topic in that book. We note that Molitierno [13] also covers some of the material presented in this chapter, and so serves as another source for readers interested in pursuing this subject further.