Bapat, R.B.Gupta, S.2020-03-312020-03-312010Indian Journal of Pure and Applied Mathematics, 2010, Vol.41, 1, pp.1-13https://idr.nitk.ac.in/handle/123456789/12795The wheel graph is the join of a single vertex and a cycle, while the fan graph is the join of a single vertex and a path. The resistance distance between any two vertices of a wheel and a fan is obtained. The resistances are related to Fibonacci numbers and generalized Fibonacci numbers. The derivation is based on evaluating determinants of submatrices of the Laplacian matrix. A combinatorial argument is also illustrated. A connection with the problem of squaring a rectangle is described. Indian National Science Academy.Article