Is there an implementation of the resistance distance matrix (or just resistance matrix) for graphs available in Mathematica?
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Based on the definition from the Wikipedia article, this should give you the resistance distance matrix of the graph g:
With[{Γ = PseudoInverse[KirchhoffMatrix[g]]},
Outer[Plus, Diagonal[Γ], Diagonal[Γ]] - Γ - Transpose[Γ]
]
