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We give explicit formulas for resistance distance matrices and Moore-Penroseinverses of incidence and Laplacian matrices of ladder, circular ladder, andM\"{o}bius ladder graphs. As a result, we compute the Kirchhoff index of thesegraphs and give new combinatorial formulas for the number of their spanningtrees.

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