Testi sulla combinatoria

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In questa pagina vengono elencati testi (prevalentemente libri) riguardanti argomenti della combinatoria. Essa riguarda tendenzialmente testi che afferiscono alla categoria 05-XX dello schema di classificazione Mathematics Subject Classification, (MSC). Alla teoria dei grafi viene però dedicata una pagina appposita. L'elenco viene compilato pensando che esso possa servire, in particolare, per segnalare le opere che sarebbe bene fossero presenti in una biblioteca pubblica di buon livello.

[modifica] Introduzioni

Martin Aigner: Combinatorial theory, Springer, ISBN 3-540-61787-6
Ronald Graham, Donald Knuth, Oren Patashnik (1989): Concrete Mathematics, Addison-Wesley, ISBN 0-201-14236-8
Norman L. Biggs: (2002): Discrete mathematics, II ed., Oxford Clarendon Press, ISBN 0-19-850717-8
J. H. Van Lint, Robin Wilson: A Course in Combinatorics, Cambridge University Press
G. E. Martin (2001): Counting: The Art of Enumerative Combinatorics, Springer

[modifica] Manuali

Ronald Graham, Martin Grötschel, László Lovász (Eds.) (1996): Handbook of Combinatorics, Volume I, Elsevier, ISBN 0-444-82346-8
Ronald Graham, Martin Grötschel, László Lovász (Eds.) (1996): Handbook of Combinatorics, Volume II, Elsevier, ISBN 0-444-82351-4
Charles J. Colburn, Jeffey H. Dinitz, eds. (1996): The CRC handbook of Combinatorial Designs, CRC Press, ISBN 0-8493-8948-8

[modifica] Problemi classici

George E. Andrews (1976): The Theory of Partitions, Cambridge University Press

[modifica] Teoria dei grafi

K. Thulasiraman, M. N. S. Swamy (1992): Graphs: Theory and Algorithms, J.Wiley
Bêla Bollobás (1998): Modern Graph Theory, Springer, ISBN 0-387-98841-7
Lowell W. Beineke, Robin J. Wilson, Peter J. Cameron, eds (2004): Topics in Algebraic Graph Theory, Cambridge University Press
D. Cvetković, P. Rowlison, S. Simic' (1997): Eigenspaces of Graphs, Cambridge University Press

[modifica] Combinatoria algebrica

Steve Roman (1984): Umbral calculus, Academic Press, ISBN 0-12-594380-6
Herbert Wilf (1994): Generatingfunctionology, II ed., Academic Press, ISBN 0-12-751956-4
Marko Petrovsek, Herbert Wilf, Doron Zeilberger (1996): A=B, A. K. Peters
Richard Stanley (1996): Enumerative Combinatorics, Volume 1], Cambridge University Press, ISBN 0-521-55309-1 Companion site dei due volumi
Richard Stanley (1999): Enumerative Combinatorics, Volume 2, Cambridge University Press, ISBN 0-521-56069-1
François Bergeron, Gilbert Labelle, Pierre Leroux (1998): Combinatorial species and tree-like structures, Cambridge University Press, ISBN 0-521-57323-8
Henry Crapo, Domenico Senato, eds. (2001): Algebraic combinatorics and Computer Science - A tribute to Gian-Carlo Rota, Springer, ISBN 88-470-0078-5
M. Bona (2004): Combinatorics of permutations, Chapman-Hall / CRC Press
Anders Björner, Francesco Brenti (2005): Combinatorics of Coxeter Groups, Springer, ISBN 3-540-44238-3

[modifica] Matroidi

Neil White ed. (1986): Theory of matroids, Cambridge University Press
Neil White ed. (1992): Matroid applications, Cambridge University Press
James G. Oxley (1992): Matroid Theory. Oxford University Press, ISBN 0198535635.
Anders Björner, Michel Las Vergnas, Bernd Sturmfels, Neil White, Günter M.Ziegler (1993): Oriented matroids, Cambridge University Press, ISBN
Bruno Korte, László Lovász, R. Schrader (1991): Greedoids, Springer, ISBN

[modifica] Disegni combinatori

Thomas Beth, Dieter Jungnickel, Hanfried Lenz (1999): Design Theory Volume 1, II ed., Cambridge University Press, ISBN 0-521-44432-2
Thomas Beth, Dieter Jungnickel, Hanfried Lenz (1999): Design Theory Volume 2, II ed., Cambridge University Press, ISBN 0-521-77231-1

[modifica] Combinatoria estremale

Ronald Graham, B. Rothschild, J. H. Spencer (1980): Ramsey Theory, J.Wiley
B. S. Stechkin, V. I. Baranov (1995): Extremal Combinatorial Problems and their Applications, Kluwer

[modifica] Combinatoria sulle parole

M. Lothaire (1983): Combinatorics on Words, Cambridge University Press
M. Lothaire (2002): Algebraic combinatorics on Words, Cambridge University Press
M. Lothaire (2005): Applied combinatorics on Words, Cambridge University Press