Species on digraphs

Advances in Mathematics

Volumn 123, Issue 2, 1996, Pages 243-275

  Méndez, Miguel A ^a  

^a INSTITUTO VENEZOLANO DE INVESTIGACIONES CIENTÍFICAS   (Venezuela)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030579339     PISSN: 00018708     EISSN: None     Source Type: Journal    
DOI: 10.1006/aima.1996.0073     Document Type: Article

References (24)

1. 1. T. Van Aardenne-Feherenfest and N. G. de Bruijn, Circuits and trees in oriented graphs, Simon Stevin 28 (1951), 203-217.
2. 2. P. Cartier and D. Foata, "Problèmes Combinatoires de Commutation et Réarrangements," Lecture Notes in Mathematics, Vol. 85, Springer-Verlag, Berlin, 1969.
3. 3. S. Chaiken, A combinatorial proof of the all minors matrix tree theorem, SIAM J. Alg. Disc. Meth. 3 (1982), 319-329.
4. 4. W. Chen, Compsitional caluclus, J. Combin. Theory Ser. A 64 (1993), 149-188.
5. 5. W. Chen, The theory of compositionals, Discrete Math. 122 (1993), 58-97.
6. 6. R. Ehrenborg and M. Méndez, A bijective proof of infinite variated Good's inversion, Adv. Math. 103 (1994), 221-259.
7. 7. D. Foata, A combinatorial proof of Jacobi's identity, in "Combinatorial Mathematics, Optimal Designs, and Their Applications" (J. Srivastava, Ed.), pp. 125-135, Ann. Discrete Math., Vol. 6, North-Holland, Amsterdam, 1980.
8. 8. I. M. Gessel, A combinatorial proof of the multivariable Lagrange inversion formula. J. Combin. Theory Ser. A 45 (1987), 178-195.
9. 9. I. M. Gessel and G. Labell, Lagrange inversion for species, J. Combin. Theory Ser. A 72 (1995), 95-117.
10. 10. I. J. Good, Generalizations to several variables of Lagrange's expansion with applications to stochastic processes, Proc. Cambridge Phil. Soc. 56 (1960), 367-380.
11. 11. I. P. Goulden and D.M. Jackson, The enumeration of closed Euler trials and directed Hamiltonian circuits by Lagrangian methods, European J. Combin. 2 (1981), 131-135.
12. 12. J. P. Hutchinson and S. Wilf, On eulerian circuits and words with prescribed adjacency patterns, J. Combin. Theory Ser. A 18 (1975), 80-87.
13. 13. D. M. Jackson, The combinatorial interpretation of the jacobi identity from Lie algebras, J. Combin. Theory Ser. A 23 (1977), 233-256.
14. 14. D. M. Jackson and I. P. Goulden, Sequence enumeration and the Bruijn-van Ardenne Ehrenfest-Smith-Tutte theorem, Canad. J. Math. 31 (1979), 488-495.
15. 15. D. M. Jackson and I. P. Goulden, The generalisation of Tutte's result for chromatic trees, by Lagrangian methods, Canad. J. Math. 33 (1981), 12-19.
16. 16. S. A. Joni, Lagrange inversion in higher dimensions and umbral operators, Linear and Multilinear Algebra 6 (1978), 111-121.
17. 17. S. A. Joni and G.-C. Rota, Coalgebras and bialgebras in combinatorics, Stud. Apl. Math. 61 (1979), 93-139.
18. 18. A. Joyal, Une théorie combinatoire des séries formelles, Adv. Math. 42 (1981), 1-82.
19. 19. G. Labelle, Une nouvelle démonstration combinatoire des formules d'inversion de Lagrange, Adv. Mat. 43 (1981), 217-247.
20. 20. J. Labelle and Y.-N. Yeh, "Combinatorial Species of Several Variables," Research Rep. 61, Dép. Math.-Info., Univ. Quebec of Montreal, Oct. 1988.
21. 21. M. Méndez and O. Nava, Colored species, C-monoids and plethysm (I), J. Combin. Theory Ser. A 64 (1993), 102-128.
22. 22. J. B. Orlin, Line-Digraph, arborescences and theorems of Tutte and Knuth, J. Combin. Theory Ser. A 25 (1978), 187-198.
23. 23. W. Tutte, The dissection of equilateral triangles into equilateral triangles, Proc. Cambridge Philos. Soc. 44 (1948), 463-482.
24. 24. Y.-N. Yeh, The calculus of virtual species and K-species, in "Proceedings, Colloque de Comb. Énumér. UQAM, 1985," pp. 351-369, Lecture Notes in Mathematics, Vol. 1234, Springer-Verlag, Berlin, 1986.