Explicit formulas for matrices associated to ladder, circular ladder, and Mobius ladder graphs

Published 18 Jun 2023 in math.CO | (2306.10497v1)

Abstract: We give explicit formulas for resistance distance matrices and Moore-Penrose inverses of incidence and Laplacian matrices of ladder, circular ladder, and M\"{o}bius ladder graphs. As a result, we compute the Kirchhoff index of these graphs and give new combinatorial formulas for the number of their spanning trees.

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