{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,1]],"date-time":"2022-04-01T06:59:41Z","timestamp":1648796381419},"reference-count":23,"publisher":"Elsevier BV","issue":"1-3","license":[{"start":{"date-parts":[[2004,5,1]],"date-time":"2004-05-01T00:00:00Z","timestamp":1083369600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2013,7,17]],"date-time":"2013-07-17T00:00:00Z","timestamp":1374019200000},"content-version":"vor","delay-in-days":3364,"URL":"https:\/\/www.elsevier.com\/open-access\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Discrete Applied Mathematics"],"published-print":{"date-parts":[[2004,5]]},"DOI":"10.1016\/s0166-218x(03)00375-5","type":"journal-article","created":{"date-parts":[[2003,10,31]],"date-time":"2003-10-31T23:43:26Z","timestamp":1067643806000},"page":"149-159","source":"Crossref","is-referenced-by-count":0,"title":["Exact enumeration of rooted 3-connected triangular maps on the projective plane"],"prefix":"10.1016","volume":"141","author":[{"given":"Zhicheng","family":"Gao","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jianyu","family":"Wang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"78","reference":[{"key":"10.1016\/S0166-218X(03)00375-5_BIB1","doi-asserted-by":"crossref","first-page":"253","DOI":"10.1016\/0095-8956(87)90002-5","article-title":"Relations fonctionnelles et denombrement des cartes pointees sur le tore","volume":"43","author":"Arques","year":"1987","journal-title":"J. Combin. Theory Ser. B"},{"key":"10.1016\/S0166-218X(03)00375-5_BIB2","doi-asserted-by":"crossref","first-page":"17","DOI":"10.1007\/PL00001290","article-title":"Dichromatic polynomials and Potts models summed over rooted maps","volume":"5","author":"Baxter","year":"2001","journal-title":"Ann. Combin."},{"key":"10.1016\/S0166-218X(03)00375-5_BIB3","doi-asserted-by":"crossref","first-page":"244","DOI":"10.1016\/0097-3165(86)90065-8","article-title":"The asymptotic number of rooted maps on a surface","volume":"43","author":"Bender","year":"1986","journal-title":"J. Combin. Theory Ser. A"},{"key":"10.1016\/S0166-218X(03)00375-5_BIB4","doi-asserted-by":"crossref","first-page":"293","DOI":"10.1016\/0095-8956(91)90079-Y","article-title":"The number of rooted maps on an orientable surface","volume":"53","author":"Bender","year":"1991","journal-title":"J. Combin. Theory Ser. B"},{"key":"10.1016\/S0166-218X(03)00375-5_BIB5","doi-asserted-by":"crossref","first-page":"297","DOI":"10.1016\/0095-8956(86)90086-9","article-title":"A survey of the asymptotic behaviour of maps","volume":"40","author":"Bender","year":"1986","journal-title":"J. Combin. Theory, Ser. B"},{"key":"10.1016\/S0166-218X(03)00375-5_BIB6","doi-asserted-by":"crossref","first-page":"257","DOI":"10.4153\/CMB-1988-039-4","article-title":"The enumeration of maps on the torus and the projective plane","volume":"31","author":"Bender","year":"1988","journal-title":"Canad. Math. Bull."},{"key":"10.1016\/S0166-218X(03)00375-5_BIB7","doi-asserted-by":"crossref","first-page":"109","DOI":"10.1016\/0196-8858(80)90008-1","article-title":"Quantum field theory techniques in graphical enumeration","volume":"1","author":"Bessis","year":"1980","journal-title":"Adv. Applied Math."},{"key":"10.1016\/S0166-218X(03)00375-5_BIB8","doi-asserted-by":"crossref","first-page":"746","DOI":"10.1112\/plms\/s3-14.4.746","article-title":"Enumeration of triangulations of the disk","volume":"14","author":"Brown","year":"1964","journal-title":"Proc. Lond. Math. Soc."},{"key":"10.1016\/S0166-218X(03)00375-5_BIB9","first-page":"1","article-title":"On the enumeration of non-planar maps","volume":"65","author":"Brown","year":"1966","journal-title":"Mem. Amer. Math. Soc."},{"key":"10.1016\/S0166-218X(03)00375-5_BIB10","first-page":"21","article-title":"Calculating the number of rooted maps on a surface, Proceedings of the Twenty-first Southeastern Conference on Combinatorics, Graph Theory, and Computing (Boca Raton, FL, 1990)","volume":"76","author":"Canfield","year":"1990","journal-title":"Congr. Numer."},{"issue":"3","key":"10.1016\/S0166-218X(03)00375-5_BIB11","doi-asserted-by":"crossref","first-page":"231","DOI":"10.1007\/BF03353000","article-title":"Catalan triangulations of the Mobius band","volume":"13","author":"Edelman","year":"1997","journal-title":"Graphs Combin."},{"key":"10.1016\/S0166-218X(03)00375-5_BIB12","doi-asserted-by":"crossref","first-page":"216","DOI":"10.1137\/0403019","article-title":"Singularity analysis of generating functions","volume":"3","author":"Flajolet","year":"1990","journal-title":"SIAM J. Disc. Math."},{"key":"10.1016\/S0166-218X(03)00375-5_BIB13","doi-asserted-by":"crossref","first-page":"236","DOI":"10.1016\/0095-8956(91)90065-R","article-title":"The number of rooted triangular maps on a surface","volume":"52","author":"Gao","year":"1991","journal-title":"J. Combin. Theory Ser. B"},{"key":"10.1016\/S0166-218X(03)00375-5_BIB14","doi-asserted-by":"crossref","first-page":"130","DOI":"10.1016\/0095-8956(91)90058-R","article-title":"The number of rooted 2-connected triangular maps on the projective plane","volume":"53","author":"Gao","year":"1991","journal-title":"J. Combin. Theory Ser. B"},{"key":"10.1016\/S0166-218X(03)00375-5_BIB15","doi-asserted-by":"crossref","first-page":"246","DOI":"10.1016\/0097-3165(93)90097-R","article-title":"A pattern for the asymptotic number of rooted maps on surfaces","volume":"64","author":"Gao","year":"1993","journal-title":"J. Combin. Theory Ser. A"},{"key":"10.1016\/S0166-218X(03)00375-5_BIB16","doi-asserted-by":"crossref","first-page":"389","DOI":"10.1016\/S0550-3213(98)00697-X","article-title":"Counting planar diagrams with various restrictions","volume":"538","author":"'t Hooft","year":"1999","journal-title":"Nuclear Phys. B"},{"key":"10.1016\/S0166-218X(03)00375-5_BIB17","doi-asserted-by":"crossref","first-page":"411","DOI":"10.1063\/1.524438","article-title":"The planar approximation II","volume":"21","author":"Itzykson","year":"1980","journal-title":"J. Math. Phys."},{"key":"10.1016\/S0166-218X(03)00375-5_BIB18","doi-asserted-by":"crossref","unstructured":"D.M. Jackson, Algebraic and analytic approaches for the genus series for 2-cell embeddings on orientable and nonorientable surfaces, in: Formal power series and algebraic combinatorics (New Brunswick, NJ, 1994), DIMACS Series of Discrete Mathematics and Theoretical Computer Science, Vol. 24, American Mathematical Society, Providence, RI, 1996, pp. 115\u2013132.","DOI":"10.1090\/dimacs\/024\/06"},{"key":"10.1016\/S0166-218X(03)00375-5_BIB19","doi-asserted-by":"crossref","first-page":"21","DOI":"10.4153\/CJM-1962-002-9","article-title":"A census of planar triangulations","volume":"14","author":"Tutte","year":"1962","journal-title":"Canad. J. Math."},{"key":"10.1016\/S0166-218X(03)00375-5_BIB20","doi-asserted-by":"crossref","first-page":"402","DOI":"10.4153\/CJM-1962-032-x","article-title":"A census of Hamiltonian polygons","volume":"14","author":"Tutte","year":"1962","journal-title":"Canad. J. Math."},{"key":"10.1016\/S0166-218X(03)00375-5_BIB21","doi-asserted-by":"crossref","first-page":"708","DOI":"10.4153\/CJM-1962-061-1","article-title":"A census of slicings","volume":"14","author":"Tutte","year":"1962","journal-title":"Canad. J. Math."},{"key":"10.1016\/S0166-218X(03)00375-5_BIB22","doi-asserted-by":"crossref","first-page":"249","DOI":"10.4153\/CJM-1963-029-x","article-title":"A census of planar maps","volume":"15","author":"Tutte","year":"1963","journal-title":"Canad. J. Math."},{"key":"10.1016\/S0166-218X(03)00375-5_BIB23","doi-asserted-by":"crossref","first-page":"281","DOI":"10.1016\/S0895-7177(97)00210-0","article-title":"Matrix integrals and map enumeration","volume":"26","author":"Zvonkin","year":"1997","journal-title":"Math. Comput. Modelling"}],"container-title":["Discrete Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0166218X03003755?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0166218X03003755?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2020,3,26]],"date-time":"2020-03-26T12:26:02Z","timestamp":1585225562000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0166218X03003755"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2004,5]]},"references-count":23,"journal-issue":{"issue":"1-3","published-print":{"date-parts":[[2004,5]]}},"alternative-id":["S0166218X03003755"],"URL":"https:\/\/doi.org\/10.1016\/s0166-218x(03)00375-5","relation":{},"ISSN":["0166-218X"],"issn-type":[{"value":"0166-218X","type":"print"}],"subject":[],"published":{"date-parts":[[2004,5]]}}}