The Group Inverse of the Laplacian Matrix of a Graph

  • Stephen Kirkland
Part of the Advanced Courses in Mathematics - CRM Barcelona book series (ACMBIRK)


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.


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Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  • Stephen Kirkland
    • 1
  1. 1.Department of MathematicsUniversity of ManitobaWinnipegCanada

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