  The quadrilateral graph Q(G) is obtained from G by replacing each edge in G
with two parallel paths of length 1 and 3, whereas the pentagonal graph W(G) is
obtained from G by replacing each edge in G with two parallel paths of length 1
and 4. In this paper, closed-form formulas of resistance distance and Kirchhoff
index for quadrilateral graph and pentagonal graph are obtained whenever G is
an arbitrary graph.
