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An involution on bicubic maps and beta(0,1)-trees
dc.contributor.author | Claesson, Anders |
dc.contributor.author | Kitaev, Sergey |
dc.contributor.author | Mier Vinué, Anna de |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada II |
dc.date.accessioned | 2015-01-28T13:50:38Z |
dc.date.available | 2015-01-28T13:50:38Z |
dc.date.created | 2015 |
dc.date.issued | 2015 |
dc.identifier.citation | Claesson, A.; Kitaev, S.; De Mier, A. An involution on bicubic maps and beta(0,1)-trees. "The australasian journal of combinatorics", 2015, vol. 61, núm. 1, p. 1-18. |
dc.identifier.issn | 1034-4942 |
dc.identifier.uri | http://hdl.handle.net/2117/26140 |
dc.description.abstract | Bicubic maps are in bijection with (0 ; 1)-trees. We introduce two new ways of decomposing (0 ; 1)-trees. Using this we de ne an endofunc- tion on (0 ; 1)-trees, and thus also on bicubic maps. We show that this endofunction is in fact an involution. As a consequence we are able to prove some surprising results regarding the joint equidistribution of cer- tain pairs of statistics on trees and maps. Finally, we conjecture the number of xed points of the involution. |
dc.format.extent | 18 p. |
dc.language.iso | eng |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Spain |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica discreta::Teoria de grafs |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Geometria::Geometria computacional |
dc.subject.lcsh | Graph theory |
dc.subject.lcsh | Numerical analysis |
dc.subject.other | planar map |
dc.subject.other | bicubic map |
dc.subject.other | description tree |
dc.subject.other | (0 ,1)-trees |
dc.subject.other | statistics |
dc.subject.other | equidistribution |
dc.title | An involution on bicubic maps and beta(0,1)-trees |
dc.type | Article |
dc.subject.lemac | Grafs, Teoria de |
dc.subject.lemac | Anàlisi numèrica |
dc.contributor.group | Universitat Politècnica de Catalunya. MD - Matemàtica Discreta |
dc.description.peerreviewed | Peer Reviewed |
dc.relation.publisherversion | http://ajc.maths.uq.edu.au/pdf/61/ajc_v61_p001.pdf |
dc.rights.access | Open Access |
local.identifier.drac | 15403105 |
dc.description.version | Postprint (published version) |
local.citation.author | Claesson, A.; Kitaev, S.; De Mier, A. |
local.citation.publicationName | The australasian journal of combinatorics |
local.citation.volume | 61 |
local.citation.number | 1 |
local.citation.startingPage | 1 |
local.citation.endingPage | 18 |
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