Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X39520131015Tutte polynomials of wheels via generating functions881891449ENC.BrennanUniversity of the WitwatersrandT.MansourUniversity of HaifaE.Mphako-BandaUniversity of WitwatersrandJournal Article20110626We find an explicit expression of the Tutte polynomial of an $n$-fan. We also find a formula of the Tutte polynomial of an $n$-wheel in terms of the Tutte polynomial of $n$-fans. Finally, we give an alternative expression of the Tutte polynomial of an $n$-wheel and then prove the explicit formula for the Tutte polynomial of an $n$-wheel.http://bims.iranjournals.ir/article_449_8f1dce2d9821f65d9680e61e1825f866.pdf