{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T17:10:07Z","timestamp":1760202607812},"publisher-location":"Berlin, Heidelberg","reference-count":52,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783540249986"},{"type":"electronic","value":"9783540318569"}],"license":[{"start":{"date-parts":[[2005,1,1]],"date-time":"2005-01-01T00:00:00Z","timestamp":1104537600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2005]]},"DOI":"10.1007\/978-3-540-31856-9_2","type":"book-chapter","created":{"date-parts":[[2010,3,2]],"date-time":"2010-03-02T13:06:19Z","timestamp":1267535179000},"page":"18-35","source":"Crossref","is-referenced-by-count":4,"title":["Algebraic Generating Functions in Enumerative Combinatorics and Context-Free Languages"],"prefix":"10.1007","author":[{"given":"Mireille","family":"Bousquet-M\u00e9lou","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"issue":"3-4","key":"2_CR1","doi-asserted-by":"publisher","first-page":"625","DOI":"10.1007\/BF01054343","volume":"73","author":"D. Aldous","year":"1993","unstructured":"Aldous, D.: Tree-based models for random distribution of mass. J. Statist. Phys.\u00a073(3-4), 625\u2013641 (1993)","journal-title":"J. Statist. Phys."},{"issue":"1-3","key":"2_CR2","doi-asserted-by":"publisher","first-page":"29","DOI":"10.1016\/S0012-365X(01)00250-3","volume":"246","author":"C. Banderier","year":"2002","unstructured":"Banderier, C., Bousquet-M\u00e9lou, M., Denise, A., Flajolet, P., Gardy, D., Gouyou-Beauchamps, D.: Generating functions for generating trees. Discrete Math.\u00a0246(1-3), 29\u201355 (2002)","journal-title":"Discrete Math."},{"issue":"2","key":"2_CR3","doi-asserted-by":"publisher","first-page":"89","DOI":"10.1006\/aama.2000.0709","volume":"26","author":"E. Barcucci","year":"2001","unstructured":"Barcucci, E., Pergola, E., Pinzani, R., Rinaldi, S.: A bijection for some paths on the slit plane. Adv. in Appl. Math.\u00a026(2), 89\u201396 (2001)","journal-title":"Adv. in Appl. Math."},{"key":"2_CR4","unstructured":"Bernardi, O.: On triangulations with high vertex degrees (2004) (submitted)"},{"key":"2_CR5","first-page":"1079","volume":"272","author":"J. Berstel","year":"1971","unstructured":"Berstel, J.: Sur les p\u00f4les et le quotient de Hadamard de s\u00e9ries \u2115-rationnelles. C. R. Acad. Sci. Paris S\u00e9r. A-B\u00a0272, 1079\u20131081 (1971)","journal-title":"C. R. Acad. Sci. Paris S\u00e9r. A-B"},{"issue":"1-2","key":"2_CR6","doi-asserted-by":"publisher","first-page":"67","DOI":"10.1016\/0304-3975(93)90304-C","volume":"117","author":"J. B\u00e9tr\u00e9ma","year":"1993","unstructured":"B\u00e9tr\u00e9ma, J., Penaud, J.-G.: Animaux et arbres guingois. Theoret. Comput. Sci.\u00a0117(1-2), 67\u201389 (1993)","journal-title":"Theoret. Comput. Sci."},{"key":"2_CR7","unstructured":"B\u00e9tr\u00e9ma, J., Penaud, J.-G.: Mod\u00e8les avec particules dures, animaux dirig\u00e9s et s\u00e9ries en variables partiellement commutatives. Technical report, LaBRI, Universit\u00e9 Bordeaux 1 (1993), arXiv:math.CO\/0106210"},{"key":"2_CR8","unstructured":"Bousquet-M\u00e9lou, M.: Limit results for embedded trees. Applications to the integrated super-Brownian excursion (in preparation)"},{"issue":"2-3","key":"2_CR9","doi-asserted-by":"publisher","first-page":"243","DOI":"10.1006\/aama.2001.0734","volume":"27","author":"M. Bousquet-M\u00e9lou","year":"2001","unstructured":"Bousquet-M\u00e9lou, M.: Walks on the slit plane: other approaches. Adv. in Appl. Math.\u00a027(2-3), 243\u2013288 (2001)","journal-title":"Adv. in Appl. Math."},{"key":"2_CR10","first-page":"49","volume-title":"Mathematics and computer science 2, (Versailles, 2002), Trends Math.","author":"M. Bousquet-M\u00e9lou","year":"2002","unstructured":"Bousquet-M\u00e9lou, M.: Counting walks in the quarter plane. In: Mathematics and computer science 2 (Versailles, 2002), Trends Math., pp. 49\u201367. Birkh\u00e4user, Basel (2002)"},{"key":"2_CR11","doi-asserted-by":"crossref","unstructured":"Bousquet-M\u00e9lou, M.: Four classes of pattern-avoiding permutations under one roof: generating trees with two labels. Electronic J. Combinatorics\u00a09(2) (2003); Research Paper 19","DOI":"10.37236\/1691"},{"key":"2_CR12","unstructured":"Bousquet-M\u00e9lou, M.: Walks in the quarter plane: Kreweras\u2019 algebraic model. Ann. Appl. Proba. (to appear)"},{"issue":"1-3","key":"2_CR13","doi-asserted-by":"publisher","first-page":"51","DOI":"10.1016\/S0012-365X(00)00147-3","volume":"225","author":"M. Bousquet-M\u00e9lou","year":"2000","unstructured":"Bousquet-M\u00e9lou, M., Petkov\u0161ek, M.: Linear recurrences with constant coefficients: the multivariate case. Discrete Math.\u00a0225(1-3), 51\u201375 (2000)","journal-title":"Discrete Math."},{"key":"2_CR14","doi-asserted-by":"publisher","first-page":"257","DOI":"10.1016\/S0304-3975(03)00219-6","volume":"307","author":"M. Bousquet-M\u00e9lou","year":"2003","unstructured":"Bousquet-M\u00e9lou, M., Petkov\u0161ek, M.: Walks confined in a quadrant are not always D-finite. Theoret. Comput. Sci.\u00a0307, 257\u2013276 (2003)","journal-title":"Theoret. Comput. Sci."},{"issue":"4","key":"2_CR15","doi-asserted-by":"publisher","first-page":"337","DOI":"10.1006\/aama.1999.0673","volume":"24","author":"M. Bousquet-M\u00e9lou","year":"2000","unstructured":"Bousquet-M\u00e9lou, M., Schaeffer, G.: Enumeration of planar constellations. Adv. in Appl. Math.\u00a024(4), 337\u2013368 (2000)","journal-title":"Adv. in Appl. Math."},{"key":"2_CR16","unstructured":"Bousquet-M\u00e9lou, M., Schaeffer, G.: The degree distribution of bipartite planar maps: applications to the Ising model (2002), ArXiv math.CO\/0211070"},{"issue":"3","key":"2_CR17","doi-asserted-by":"publisher","first-page":"305","DOI":"10.1007\/s004400200205","volume":"124","author":"M. Bousquet-M\u00e9lou","year":"2002","unstructured":"Bousquet-M\u00e9lou, M., Schaeffer, G.: Walks on the slit plane. Probab. Theory Related Fields\u00a0124(3), 305\u2013344 (2002)","journal-title":"Probab. Theory Related Fields"},{"key":"2_CR18","unstructured":"Bousquet-M\u00e9lou, M., Jehanne, A.: Planar maps and algebraic series: a generalization of the quadratic method (in preparation)"},{"issue":"3","key":"2_CR19","doi-asserted-by":"publisher","first-page":"477","DOI":"10.1016\/S0550-3213(02)00813-1","volume":"645","author":"J. Bouttier","year":"2002","unstructured":"Bouttier, J., Di Francesco, P., Guitter, E.: Census of planar maps: from the one-matrix model solution to a combinatorial proof. Nuclear Phys. B\u00a0645(3), 477\u2013499 (2002)","journal-title":"Nuclear Phys. B"},{"key":"2_CR20","doi-asserted-by":"publisher","first-page":"82","DOI":"10.1007\/BF01370732","volume":"158","author":"W.G. Brown","year":"1965","unstructured":"Brown, W.G.: On the existence of square roots in certain rings of power series. Math. Ann.\u00a0158, 82\u201389 (1965)","journal-title":"Math. Ann."},{"issue":"1","key":"2_CR21","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/0097-3165(86)90018-X","volume":"43","author":"R. Cori","year":"1986","unstructured":"Cori, R., Dulucq, S., Viennot, G.: Shuffle of parenthesis systems and Baxter permutations. J. Combin. Theory Ser. A\u00a043(1), 1\u201322 (1986)","journal-title":"J. Combin. Theory Ser. A"},{"issue":"5","key":"2_CR22","doi-asserted-by":"publisher","first-page":"1023","DOI":"10.4153\/CJM-1981-078-2","volume":"33","author":"R. Cori","year":"1981","unstructured":"Cori, R., Vauquelin, B.: Planar maps are well labeled trees. Canad. J. Math.\u00a033(5), 1023\u20131042 (1981)","journal-title":"Canad. J. Math."},{"issue":"1","key":"2_CR23","doi-asserted-by":"publisher","first-page":"12","DOI":"10.1016\/0097-3165(88)90071-4","volume":"48","author":"M.-P. Delest","year":"1988","unstructured":"Delest, M.-P.: Generating functions for column-convex polyominoes. J. Combin. Theory Ser. A\u00a048(1), 12\u201331 (1988)","journal-title":"J. Combin. Theory Ser. A"},{"issue":"4","key":"2_CR24","doi-asserted-by":"publisher","first-page":"325","DOI":"10.1007\/BF01788555","volume":"3","author":"M.-P. Delest","year":"1987","unstructured":"Delest, M.-P., Gouyou-Beauchamps, D., Vauquelin, B.: Enumeration of parallelogram polyominoes with given bond and site perimeter. Graphs Combin.\u00a03(4), 325\u2013339 (1987)","journal-title":"Graphs Combin."},{"issue":"1-2","key":"2_CR25","doi-asserted-by":"publisher","first-page":"169","DOI":"10.1016\/0304-3975(84)90116-6","volume":"34","author":"M.-P. Delest","year":"1984","unstructured":"Delest, M.-P., Viennot, G.: Algebraic languages and polyominoes enumeration. Theoret. Comput. Sci.\u00a034(1-2), 169\u2013206 (1984)","journal-title":"Theoret. Comput. Sci."},{"key":"2_CR26","unstructured":"Dutour, I.: Grammaires d\u2019objets: \u00e9 num\u00e9ration, bijections et g\u00e9 n\u00e9 ration al\u00e9 atoire. PhD thesis, Universit\u00e9 Bordeaux 1, France (1996)"},{"issue":"3","key":"2_CR27","doi-asserted-by":"publisher","first-page":"325","DOI":"10.1007\/BF00535168","volume":"47","author":"G. Fayolle","year":"1979","unstructured":"Fayolle, G., Iasnogorodski, R.: Two coupled processors: the reduction to a Riemann-Hilbert problem. Z. Wahrsch. Verw. Gebiete\u00a047(3), 325\u2013351 (1979)","journal-title":"Z. Wahrsch. Verw. Gebiete"},{"key":"2_CR28","volume-title":"Applications of Mathematics","author":"G. Fayolle","year":"1999","unstructured":"Fayolle, G., Iasnogorodski, R., Malyshev, V.: Random walks in the quarter-plane: Algebraic methods, boundary value problems and applications. In: Applications of Mathematics, vol.\u00a040. Springer, Berlin (1999)"},{"issue":"2-3","key":"2_CR29","doi-asserted-by":"publisher","first-page":"283","DOI":"10.1016\/0304-3975(87)90011-9","volume":"49","author":"P. Flajolet","year":"1987","unstructured":"Flajolet, P.: Analytic models and ambiguity of context-free languages. Theoret. Comput. Sci.\u00a049(2-3), 283\u2013309 (1987)","journal-title":"Theoret. Comput. Sci."},{"key":"2_CR30","unstructured":"Flajolet, R., Sedgewick, R.: Analytic combinatorics: functional equations, rational, and algebraic functions. Technical Report RR4103, INRIA, 2001. A component of the book project \u201dAnalytic Combinatorics\u201d (2001), Available at http:\/\/www.inria.fr\/rrrt\/rr-4103.html"},{"key":"2_CR31","unstructured":"Gessel, I.: Rational functions with nonnegative power series coefficients. In: 50th S\u00e9minaire Lotharingien de Combinatoire, Ottrott, France (March 2003)"},{"issue":"1","key":"2_CR32","doi-asserted-by":"publisher","first-page":"49","DOI":"10.1016\/0378-3758(86)90009-1","volume":"14","author":"I.M. Gessel","year":"1986","unstructured":"Gessel, I.M.: A probabilistic method for lattice path enumeration. J. Statist. Plann. Inference\u00a014(1), 49\u201358 (1986)","journal-title":"J. Statist. Plann. Inference"},{"key":"2_CR33","series-title":"Wiley-Interscience Series in Discrete Mathematics","volume-title":"Combinatorial enumeration","author":"I.P. Goulden","year":"1983","unstructured":"Goulden, I.P., Jackson, D.M.: Combinatorial enumeration. Wiley-Interscience Series in Discrete Mathematics. John Wiley & Sons Inc., New York (1983)"},{"key":"2_CR34","volume-title":"Formal languages and their relation to automata","author":"J.E. Hopcroft","year":"1969","unstructured":"Hopcroft, J.E., Ullman, J.D.: Formal languages and their relation to automata. Addison-Wesley, Reading (1969)"},{"key":"2_CR35","volume-title":"Ordinary Differential Equations","author":"E.L. Ince","year":"1944","unstructured":"Ince, E.L.: Ordinary Differential Equations. Dover Publications, New York (1944)"},{"key":"2_CR36","first-page":"5","volume":"6","author":"G. Kreweras","year":"1965","unstructured":"Kreweras, G.: Sur une classe de probl\u00e8mes li\u00e9s au treillis des partitions d\u2019entiers. Cahiers du B.U.R.O.\u00a06, 5\u2013105 (1965)","journal-title":"Cahiers du B.U.R.O."},{"key":"2_CR37","unstructured":"Marckert, J.-F., Janson, S.: Convergence of discrete snakes. Technical report, Universit\u00e9 de Versailles-Saint-Quentin (2003)"},{"key":"2_CR38","unstructured":"Niederhausen, H.: Sheffer polynomials in path enumeration. In: Proceedings of the West Coast Conference on Combinatorics, Graph Theory and Computing, Humboldt State Univ., Arcata, Calif., 1979, Congress. Numer., XXVI, pp. 281\u2013294 (1980)"},{"issue":"2","key":"2_CR39","doi-asserted-by":"crossref","first-page":"161","DOI":"10.1016\/S0195-6698(83)80046-8","volume":"4","author":"H. Niederhausen","year":"1983","unstructured":"Niederhausen, H.: The ballot problem with three candidates. European J. Combin.\u00a04(2), 161\u2013167 (1983)","journal-title":"European J. Combin."},{"issue":"2","key":"2_CR40","doi-asserted-by":"publisher","first-page":"385","DOI":"10.1016\/S0304-3975(03)00226-3","volume":"307","author":"D. Poulalhon","year":"2003","unstructured":"Poulalhon, D., Schaeffer, G.: A bijection for triangulations of a polygon with interior points and multiple edges. Theoret. Comput. Sci.\u00a0307(2), 385\u2013401 (2003)","journal-title":"Theoret. Comput. Sci."},{"key":"2_CR41","series-title":"Texts and Monographs in Computer Science","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4612-6264-0","volume-title":"Automata-theoretic aspects of formal power series","author":"A. Salomaa","year":"1978","unstructured":"Salomaa, A., Soittola, M.: Automata-theoretic aspects of formal power series. Texts and Monographs in Computer Science. Springer, New York (1978)"},{"issue":"2","key":"2_CR42","doi-asserted-by":"publisher","first-page":"163","DOI":"10.1145\/178365.178368","volume":"20","author":"B. Salvy","year":"1994","unstructured":"Salvy, B., Zimmermann, P.: Gfun: a Maple package for the manipulation of generating and holonomic functions in one variable. ACM Transactions on Mathematical Software\u00a020(2), 163\u2013177 (1994)","journal-title":"ACM Transactions on Mathematical Software"},{"issue":"1","key":"2_CR43","doi-asserted-by":"crossref","first-page":"14","DOI":"10.37236\/1305","volume":"4","author":"G. Schaeffer","year":"1997","unstructured":"Schaeffer, G.: Bijective census and random generation of Eulerian planar maps with prescribed vertex degrees. Electron. J. Combin.\u00a04(1), 14 (1997) (electronic); Research Paper 20","journal-title":"Electron. J. Combin."},{"key":"2_CR44","unstructured":"Schaeffer, G.: Conjugaison d\u2019arbres et cartes combinatoires al\u00e9atoires. PhD thesis, Universit\u00e9 Bordeaux 1, France (1998)"},{"issue":"3","key":"2_CR45","doi-asserted-by":"publisher","first-page":"317","DOI":"10.1016\/0304-3975(76)90084-0","volume":"2","author":"M. Soittola","year":"1976","unstructured":"Soittola, M.: Positive rational sequences. Theoret. Comput. Sci.\u00a02(3), 317\u2013322 (1976)","journal-title":"Theoret. Comput. Sci."},{"key":"2_CR46","series-title":"Cambridge Studies in Advanced Mathematics","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9780511805967","volume-title":"Enumerative combinatorics, vol. 1","author":"R.P. Stanley","year":"1997","unstructured":"Stanley, R.P.: Enumerative combinatorics, vol. 1. Cambridge Studies in Advanced Mathematics, vol.\u00a049. Cambridge University Press, Cambridge (1997)"},{"key":"2_CR47","series-title":"Cambridge Studies in Advanced Mathematics","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511609589","volume-title":"Enumerative combinatorics, vol. 2","author":"R.P. Stanley","year":"1999","unstructured":"Stanley, R.P.: Enumerative combinatorics, vol. 2. Cambridge Studies in Advanced Mathematics, vol.\u00a062. Cambridge University Press, Cambridge (1999)"},{"key":"2_CR48","doi-asserted-by":"publisher","first-page":"64","DOI":"10.1090\/S0002-9904-1968-11877-4","volume":"74","author":"W.T. Tutte","year":"1968","unstructured":"Tutte, W.T.: On the enumeration of planar maps. Bull. Amer. Math. Soc.\u00a074, 64\u201374 (1968)","journal-title":"Bull. Amer. Math. Soc."},{"issue":"1-2","key":"2_CR49","doi-asserted-by":"publisher","first-page":"95","DOI":"10.1007\/BF01831115","volume":"50","author":"W.T. Tutte","year":"1995","unstructured":"Tutte, W.T.: Chromatic sums revisited. Aequationes Math.\u00a050(1-2), 95\u2013134 (1995)","journal-title":"Aequationes Math."},{"key":"2_CR50","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"450","DOI":"10.1007\/BFb0028829","volume-title":"Fundamentals of Computation Theory","author":"G. Viennot","year":"1985","unstructured":"Viennot, G.: Enumerative combinatorics and algebraic languages. In: Budach, L. (ed.) FCT 1985. LNCS, vol.\u00a0199, pp. 450\u2013464. Springer, Heidelberg (1985)"},{"issue":"1","key":"2_CR51","doi-asserted-by":"publisher","first-page":"162","DOI":"10.1016\/0022-247X(85)90209-4","volume":"111","author":"J. Wimp","year":"1985","unstructured":"Wimp, J., Zeilberger, D.: Resurrecting the asymptotics of linear recurrences. J. Math. Anal. Appl.\u00a0111(1), 162\u2013176 (1985)","journal-title":"J. Math. Anal. Appl."},{"key":"2_CR52","doi-asserted-by":"publisher","first-page":"451","DOI":"10.1006\/jcta.2000.3110","volume":"91","author":"D. Zeilberger","year":"2000","unstructured":"Zeilberger, D.: The umbral transfer-matrix method: I. Foundations. J. Comb. Theory, Ser. A\u00a091, 451\u2013463 (2000)","journal-title":"J. Comb. Theory, Ser. A"}],"container-title":["Lecture Notes in Computer Science","STACS 2005"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-540-31856-9_2","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,5,28]],"date-time":"2020-05-28T16:09:04Z","timestamp":1590682144000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-540-31856-9_2"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2005]]},"ISBN":["9783540249986","9783540318569"],"references-count":52,"URL":"https:\/\/doi.org\/10.1007\/978-3-540-31856-9_2","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2005]]}}}