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Moore-Penrose Inverses of the Signless Laplacian and Edge-Laplacian of Graphs
Published 7 May 2020 in math.CO | (2005.03702v1)
Abstract: 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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