Resistance distance in wheels and fans

Simple item page
dc.contributor.authorBapat, R.B.
dc.contributor.authorGupta, S.
dc.date.accessioned2026-02-05T09:36:26Z
dc.date.issued2010
dc.description.abstractThe 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.
dc.identifier.citationIndian Journal of Pure and Applied Mathematics, 2010, 41, 1, pp. 1-13
dc.identifier.issn195588
dc.identifier.urihttps://doi.org/10.1007/s13226-010-0004-2
dc.identifier.urihttps://idr.nitk.ac.in/handle/123456789/27500
dc.subjectFan graph
dc.subjectGeneralized Fibonacci numbers
dc.subjectResistance distance
dc.subjectSquaring a rectangle
dc.subjectWheel graph
dc.titleResistance distance in wheels and fans

Files

Collections

Journal Articles