European Journal of CombinatoricsVolume 26, Issue 5, July 2005, Pages 651-663Counting unrooted loopless planar mapsAuthor links open overlay panelValery A. Liskovets a, Timothy R. Walsh bShow moreShareCitehttps://doi.org/10.1016/j.ejc.2004.04.011Get rights and contentUnder an Elsevier user licenseopen archiveAbstractWe present a formula for the number of n-edge unrooted loopless planar maps considered up to orientation-preserving isomorphism. The only sum contained in this formula is over the divisors of n.Previous article in issueNext article in issueMSC.05C30KeywordsRooted planar mapsLoopless mapQuotient mapLagrange inversionRecommended articlesCited by (0)Copyright © 2004 Elsevier Ltd. All rights reserved.