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|Title:||Resistance distance in wheels and fans|
|Citation:||Indian Journal of Pure and Applied Mathematics, 2010, Vol.41, 1, pp.1-13|
|Abstract:||The 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.|
|Appears in Collections:||1. Journal Articles|
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