Please use this identifier to cite or link to this item:
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.
Appears in Collections:1. Journal Articles

Files in This Item:
File Description SizeFormat 
12795.pdf122.09 kBAdobe PDFThumbnail

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.