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Une théorie combinatoire des séries formelles.(French)Zbl 0491.05007


MathOverflow Questions:

The tilde species

MSC:

05A15 Exact enumeration problems, generating functions
05-02 Research exposition (monographs, survey articles) pertaining to combinatorics
05C15 Coloring of graphs and hypergraphs

Cite

References:

[1]Bender, E. A.; Goldman, J. R., Enumerative uses of generating functions, Indiana Univ. Math. J., 20, 753-765 (1971) ·Zbl 0217.01803
[2]Bourbaki, N., Eléments de mathématiques, (Théorie des ensembles. Théorie des ensembles, Structures (1968), Hermann: Hermann Paris), Chap. 4 ·Zbl 0141.03501
[3]Burnside, W., Theory of Groups of Finite Order, (Theorem VII (1955), Dover: Dover New York), 191 ·JFM 26.0170.01
[4]Cartan, H., Séminaire Henri Cartan, 7e année (1954-1955)
[5]Cartier, P.; Foata, D., Problèmes combinatoires de commutation et réarrangements, (Lecture Notes in Mathematics No. 85 (1969), Springer-Verlag) ·Zbl 0186.30101
[6]Comtet, L., Advanced Combinatorics (1974), Reidel: Reidel Dordrecht-Holland/Boston ·Zbl 0283.05001
[7]Content, M.; Lemay, F.; Leroux, P., Catégories de Möbius et fonctorialités: Un cadre général pour l’inversion de Möbius, J. Combin. Theory Ser. A, 28, 169-190 (1980) ·Zbl 0449.05004
[8]Doubilet, P.; Rota, G.-C; Stanley, R. P., The idea of generating function, (Rota, G.-C, Finite Operator Calculus (1975), Academic Press: Academic Press New York), 83-134
[9]Ehresmann, C., Catégories et structures (1965), Dunod: Dunod Paris ·Zbl 0192.09803
[10]Foata, D., La série génératrice exponentielle dans les problèmes d’énumérations (1974), Les Presses de l’Université de Montréal ·Zbl 0325.05007
[11]Foata, D., A combinatorial proof of the Mehler Formula, J. Combin. Theory Ser. A, 24, 367-376 (1978) ·Zbl 0401.33008
[12]Foata, D.; Schützenberger, M.-P, Théorie Géométrique des Polynômes Eulériens, (Lecture Notes in Mathematics No. 138 (1970), Springer-Verlag: Springer-Verlag New York/Berlin) ·Zbl 0214.26202
[13]Garsia, A. M.; Joni, S. A., Lecture Notes in Combinatorics, U.C.S.D. (1976), Department of Mathematics: Department of Mathematics La Jolla
[14]Gessel, I. M., Generating Functions and Enumeration of Sequences, (Ph. D. Thesis (1977))
[15]Harary, F.; Palmer, E. M., Graphical Enumeration (1973), Academic Press: Academic Press New York/London ·Zbl 0266.05108
[16]Joni, S. A.; Rota, G.-C, Coalgebras and bialgebras in combinatorics, Stud. Appl. Math., 61, 93-139 (1979) ·Zbl 0471.05020
[17]Kelly, G. M., On clubs and doctrinies, (Kelly, G. M., Category Seminar. Category Seminar, Lecture Notes in Mathematics No. 420 (1974), Springer-Verlag: Springer-Verlag New York/Berlin) ·Zbl 0334.18018
[18]Kendall, D. G., Branching processes since, J. London Math. Soc., 41, 385-406 (1873) ·Zbl 0154.42505
[19]Knuth, D. E., Subspaces, subsets, and partitions, J. Combin. Theory, 10, 178-180 (1971) ·Zbl 0221.05024
[20]G. LabelleAdvances in Math.;G. LabelleAdvances in Math. ·Zbl 0477.05007
[21]J. LabelleAnn. Sci. Math. Québec;J. LabelleAnn. Sci. Math. Québec ·Zbl 0524.18003
[22]Leroux, P., Les catégories de Möbius, Cahiers Topologie Géom. Differentielle, 16, 3, 280-283 (1975) ·Zbl 0364.18001
[23]MacLane, S., Categories for the Working Mathematician (1971), Springer-Verlag: Springer-Verlag New York ·Zbl 0232.18001
[24]Moon, J. W., Counting labelled trees, Canadian Mathematical monographs (1970) ·Zbl 0214.23204
[25]Mullin, R.; Rota, G.-C, On the foundations of combinatoriel theory III. Theory of binamial enumeration, (Harris, B., Graph Theory and Its Applications (1970), Academic Press: Academic Press New York) ·Zbl 0216.02101
[26]Pólya, G., Kombinatorische Anzahlbestimmungen fur Gruppen, Graphen und chemische Verbindungen, Acta Math., 68, 145-254 (1937) ·JFM 63.0547.04
[27]Raney, G., Functional composition patterns and power series reversion, Trans. Amer. Math. Soc., 94, 441-451 (1960) ·Zbl 0131.01402
[28]G.-C. Rotadans;G.-C. Rotadans
[29]Rota, G.-C, On the foundations of combinatorial theory, I. Theory of Möbius functions, Z. Wahrsch, Band 2, Heft 4, 340-368 (1964) ·Zbl 0121.02406
[30]Stanley, R. P., Generating functions, (Rota, G.-C, M.A.A. Studies in Combinatorics (1978), Mathematical Association of America) ·Zbl 0422.05003
[31]Sweedler, S., Hopf Algebras (1969), Benjamin: Benjamin New York ·Zbl 0194.32901
[32](MacLane, S., Coherence in Categories. Coherence in Categories, Lecture Notes in Mathematics No. 281 (1972), Springer-Verlag: Springer-Verlag New York/Berlin) ·Zbl 0212.35001
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
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