Journal•ISSN: 0019-5588
Indian Journal of Pure & Applied Mathematics
Indian National Science Academy
About: Indian Journal of Pure & Applied Mathematics is an academic journal published by Indian National Science Academy. The journal publishes majorly in the area(s): Computer science & Numerical analysis. It has an ISSN identifier of 0019-5588. Over the lifetime, 1091 publications have been published receiving 3857 citations.
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74 citations
TL;DR: In this article, the authors derived the resistances between any two vertices of a wheel and a fan by evaluating determinants of submatrices of the Laplacian matrix.
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.
69 citations