%% This BibTeX bibliography file was created using BibDesk. %% http://bibdesk.sourceforge.net/ %% Created for Nick Beaton at 2016-09-24 13:54:23 -0600 %% Saved with string encoding Unicode (UTF-8) @article{BMJ06, AUTHOR = {Bousquet-M\'{e}lou, Mireille and Jehanne, Arnaud}, TITLE = {Polynomial equations with one catalytic variable, algebraic series and map enumeration}, JOURNAL = {Journal of Combinatorial Theory, Series B}, FJOURNAL = {Journal of Combinatorial Theory. Series B}, VOLUME = {96}, YEAR = {2006}, NUMBER = {5}, PAGES = {623--672}, ISSN = {0095-8956}, MRCLASS = {05A15 (05C30)}, MRNUMBER = {2236503}, MRREVIEWER = {Daniel Brown}, DOI = {10.1016/j.jctb.2005.12.003} } @article {ABBG20, AUTHOR = {Asinowski, Andrei and Bacher, Axel and Banderier, Cyril and Gittenberger, Bernhard}, TITLE = {Analytic Combinatorics of Lattice Paths with Forbidden Patterns, the Vectorial Kernel Method, and Generating Functions for Pushdown Automata}, JOURNAL = {Algorithmica}, FJOURNAL = {Algorithmica. An International Journal in Computer Science}, VOLUME = {82}, YEAR = {2020}, NUMBER = {3}, PAGES = {386--428}, ISSN = {0178-4617}, MRCLASS = {05A15 (68Q45)}, MRNUMBER = {4058415}, MRREVIEWER = {Nathan Harel Fox}, DOI = {10.1007/s00453-019-00623-3}, URL = {https://doi.org/10.1007/s00453-019-00623-3}, } @inproceedings{msolve, TITLE = {{msolve: A Library for Solving Polynomial Systems}}, AUTHOR = {Berthomieu, J{\'e}r{\'e}my and Eder, Christian and {Safey El Din}, Mohab}, BOOKTITLE = {{2021 International Symposium on Symbolic and Algebraic Computation}}, ADDRESS = {Saint Petersburg, Russia}, SERIES = { ISSAC ’21}, PAGES = {51--58}, PUBLISHER = {{ACM}}, YEAR = {2021}, MONTH = Jul, DOI = {10.1145/3452143.3465545}, PDF = {https://hal.sorbonne-universite.fr/hal-03191666v2/file/main.pdf}, HAL_ID = {hal-03191666}, HAL_VERSION = {v2}, } @article {BK20, AUTHOR = {Buchacher, Manfred and Kauers, Manuel}, TITLE = {Inhomogeneous Restricted Lattice Walks}, JOURNAL = {S\'{e}m. Lothar. Combin.}, FJOURNAL = {S\'{e}minaire Lotharingien de Combinatoire}, VOLUME = {82B}, YEAR = {2020}, PAGES = {Art. 75, 12}, MRCLASS = {05A15 (05A16)}, MRNUMBER = {4098296}, } @inproceedings{BoChNoSa22, author = {Bostan, Alin and Chyzak, Fr\'{e}d\'{e}ric and Notarantonio, Hadrien and Safey El Din, Mohab}, title = {Algorithms for Discrete Differential Equations of Order 1}, year = {2022}, isbn = {9781450386883}, publisher = {ACM}, address = {New York, NY, USA}, booktitle = {Proceedings of the 2022 International Symposium on Symbolic and Algebraic Computation}, pages = {101–110}, numpages = {10}, keywords = {algebraic functions, catalytic variables, algorithms complexity, functional equations, discrete differential equations}, location = {Villeneuve-d'Ascq, France}, series = {ISSAC '22}, doi = {10.1145/3476446.3535471} } @article{Schost03, AUTHOR = {Schost, {\'E}ric}, TITLE = {Computing Parametric Geometric Resolutions}, JOURNAL = {Appl. Algebra Engrg. Comm. Comput.}, FJOURNAL = {Applicable Algebra in Engineering, Communication and Computing}, VOLUME = {13}, YEAR = {2003}, NUMBER = {5}, PAGES = {349--393}, ISSN = {0938-1279}, MRCLASS = {13P10 (14G15 14Q05)}, MRNUMBER = {1959170}, MRREVIEWER = {Cristian Voica}, DOI = {10.1007/s00200-002-0109-x}, } @book {Eisenbud95, AUTHOR = {Eisenbud, David}, TITLE = {Commutative Algebra}, SERIES = {Graduate Texts in Mathematics}, VOLUME = {150}, NOTE = {with a View Toward Algebraic Geometry}, PUBLISHER = {Springer-Verlag, New York}, YEAR = {1995}, PAGES = {xvi+785}, ISBN = {0-387-94268-8; 0-387-94269-6}, MRCLASS = {13-01 (14A05)}, MRNUMBER = {1322960}, MRREVIEWER = {Matthew Miller}, } @article {BoBMDoPe17, AUTHOR = {Bonichon, Nicolas and Bousquet-M\'{e}lou, Mireille and Dorbec, Paul and Pennarun, Claire}, TITLE = {On the number of planar Eulerian orientations}, JOURNAL = {European J. Combin.}, FJOURNAL = {European Journal of Combinatorics}, VOLUME = {65}, YEAR = {2017}, PAGES = {59--91}, ISSN = {0195-6698}, MRCLASS = {05C45 (05C10 05C30)}, MRNUMBER = {3679837}, MRREVIEWER = {V. Vilfred}, DOI = {10.1016/j.ejc.2017.04.009}, } @incollection {Zeilberger00, AUTHOR = {Zeilberger, Doron}, TITLE = {The Umbral Transfer-Matrix Method. {I}. {F}oundations}, NOTE = {In memory of Gian-Carlo Rota}, JOURNAL = {J. Combin. Theory Ser. A}, FJOURNAL = {Journal of Combinatorial Theory. Series A}, VOLUME = {91}, YEAR = {2000}, NUMBER = {1-2}, PAGES = {451--463}, ISSN = {0097-3165}, MRCLASS = {05A40 (05-04 05A15 05A17 05A19)}, MRNUMBER = {1780033}, MRREVIEWER = {Daniel Elliott Loeb}, DOI = {10.1006/jcta.2000.3110}, } @article {Popescu85a, AUTHOR = {Popescu, Dorin}, TITLE = {General {N}\'{e}ron desingularization and approximation}, JOURNAL = {Nagoya Math. J.}, FJOURNAL = {Nagoya Mathematical Journal}, VOLUME = {104}, YEAR = {1986}, PAGES = {85--115}, ISSN = {0027-7630}, MRCLASS = {14B12 (13J15)}, MRNUMBER = {868439}, MRREVIEWER = {Marko Roczen}, DOI = {10.1017/S0027763000022698}, } @article {Popescu85, AUTHOR = {Popescu, Dorin}, TITLE = {General {N}\'{e}ron Desingularization}, JOURNAL = {Nagoya Math. J.}, FJOURNAL = {Nagoya Mathematical Journal}, VOLUME = {100}, YEAR = {1985}, PAGES = {97--126}, ISSN = {0027-7630}, MRCLASS = {13H05 (14B12 14B25)}, MRNUMBER = {818160}, MRREVIEWER = {Marko Roczen}, } % DOI = {10.1017/S0027763000000246}, % URL = {https://doi.org/10.1017/S0027763000000246}, @article{Tutte62, title={A Census of Planar Triangulations}, volume={14}, DOI={10.4153/CJM-1962-002-9}, journal={Canadian J. Math.}, publisher={Cambridge University Press}, author={Tutte, W. T.}, year={1962}, pages={21–38} } @article{BrTu64, title={On the Enumeration of Rooted Non-Separable Planar Maps}, volume={16}, DOI={10.4153/CJM-1964-058-7}, journal={Canadian J. of Mathematics}, publisher={Cambridge University Press}, author={Brown, W. G. and Tutte, W. T.}, year={1964}, pages={572–577} } @article {Brown65qm, AUTHOR = {Brown, William G.}, TITLE = {On the existence of square roots in certain rings of power series}, JOURNAL = {Math. Ann.}, FJOURNAL = {Mathematische Annalen}, VOLUME = {158}, YEAR = {1965}, PAGES = {82--89}, ISSN = {0025-5831}, MRCLASS = {13.93 (16.00)}, MRNUMBER = {172891}, MRREVIEWER = {W. T. Tutte}, DOI = {10.1007/BF01370732}, } @article {Brown65, AUTHOR = {Brown, William G.}, TITLE = {Enumeration of Quadrangular Dissections of the Disk}, JOURNAL = {Canadian J. Math.}, FJOURNAL = {Canadian Journal of Mathematics. Journal Canadien de Math\'{e}matiques}, VOLUME = {17}, YEAR = {1965}, PAGES = {302--317}, ISSN = {0008-414X}, MRCLASS = {05.15 (52.45)}, MRNUMBER = {186571}, MRREVIEWER = {H. T. Croft}, DOI = {10.4153/CJM-1965-030-1}, }