Please use this identifier to cite or link to this item:
https://idr.l2.nitk.ac.in/jspui/handle/123456789/12795| Title: | Resistance distance in wheels and fans |
| Authors: | Bapat, R.B. Gupta, S. |
| Issue Date: | 2010 |
| 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. |
| URI: | http://idr.nitk.ac.in/jspui/handle/123456789/12795 |
| Appears in Collections: | 1. Journal Articles |
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