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Enumeration of labeled 4-regular planar graphs
| dc.contributor.author | Noy Serrano, Marcos |
| dc.contributor.author | Requile, Clement |
| dc.contributor.author | Rué Perna, Juan José |
| dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtiques |
| dc.date.accessioned | 2017-11-06T09:02:10Z |
| dc.date.available | 2017-11-06T09:02:10Z |
| dc.date.issued | 2017-08-01 |
| dc.identifier.citation | Noy, M., Requile, C., Rue, J. Enumeration of labeled 4-regular planar graphs. "Electronic notes in discrete mathematics", 1 Agost 2017, vol. 61, p. 933-939. |
| dc.identifier.issn | 1571-0653 |
| dc.identifier.uri | http://hdl.handle.net/2117/109823 |
| dc.description | © <year>. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/ |
| dc.description.abstract | In this extended abstract, we present the first combinatorial scheme for counting labeled 4-regular planar graphs through a complete recursive decomposition. More precisely, we show that the exponential generating function counting labeled 4-regular planar graphs can be computed effectively as the solution of a system of equations. From here we can extract the coefficients by means of algebraic calculus. As a by-product, we can also compute the algebraic generating function counting labeled 3-connected 4-regular planar maps. |
| dc.format.extent | 7 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 |
| dc.subject.other | generating functions |
| dc.subject.other | graph enumeration |
| dc.subject.other | planar graphs |
| dc.title | Enumeration of labeled 4-regular planar graphs |
| dc.type | Article |
| dc.contributor.group | Universitat Politècnica de Catalunya. MD - Matemàtica Discreta |
| dc.identifier.doi | 10.1016/j.endm.2017.07.056 |
| dc.description.peerreviewed | Peer Reviewed |
| dc.subject.ams | Classificació AMS::05 Combinatorics::05C Graph theory |
| dc.relation.publisherversion | http://www.sciencedirect.com/science/article/pii/S1571065317302214?via%3Dihub |
| dc.rights.access | Open Access |
| local.identifier.drac | 21554403 |
| dc.description.version | Postprint (author's final draft) |
| local.citation.author | Noy, M.; Requile, C.; Rue, J. |
| local.citation.publicationName | Electronic notes in discrete mathematics |
| local.citation.volume | 61 |
| local.citation.startingPage | 933 |
| local.citation.endingPage | 939 |
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