Livros de Teoria dos Grafos
Em português
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P. Feofiloff, Y. Kohayakawa, Y. Wakabayashi,
Uma Introdução Sucinta à Teoria dos Grafos,
2004.
[Texto sobre alguns tópicos de teoria dos grafos.]
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Cláudio L. Lucchesi,
Introdução à Teoria dos Grafos,
IMPA, 1979.
[Livro do
12.o Colóquio Brasileiro de Matemática.]
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J.M.S. Simões Pereira,
Matemática Discreta: Grafos, Redes, Aplicações,
Ed. Luz da Vida (Portugal),
2009.
Recomendados
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John A. Bondy,
U.S. Rama Murty,
Graph Theory,
Springer, 2008.
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John A. Bondy,
U.S. Rama Murty,
Graph Theory with Applications,
Macmillan, 1976.
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Robin J. Wilson,
Introduction to Graph Theory, 4th.ed.,
Prentice Hall, 1996.
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Reinhard Diestel,
Graph Theory, 3rd. ed.,
(Graduate Texts in Mathematics, 173),
Springer, 2000.
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Reinhard Diestel,
Graph Theory, 4th. ed.,
(Graduate Texts in Mathematics, 173),
Springer, 2010.
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Béla Bollobás,
Modern Graph Theory,
(Graduate Texts in Mathematics, 184),
Springer-Verlag, 1998.
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Dieter Jungnickel,
Graphs, Networks and Algorithms,
Springer-Verlag, 2008.
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László Lovász,
Michael D. Plummer,
Matching Theory,
(Annals of Discrete Mathematics, 29),
North-Holland, 1986.
[Tudo sobre emparelhamentos e muito mais.]
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Lásló Lovász,
Combinatorial Problems and Exercises,
2nd. ed.,
North-Holland, 1993.
[Aprenda teoria dos grafos fazendo exercícios.]
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J. van Leeuwen (ed.),
Handbook of Theoretical Computer Science:
volume A: Algorithms and Complexity,
Elsevier and The MIT Press, 1990.
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David Joyner, Minh Van Nguyen, Nathann Cohen,
Algorithmic Graph Theory,
Google Code, 2010.
Outros
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N. Hartsfield, G. Ringel,
Pearls in Graph Theory: a comprehensive introduction,
Dover, 2003.
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Douglas B. West,
Introduction to Graph Theory, 2nd. ed.,
Prentice Hall, 2001.
[A 3a. edição está a caminho.]
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Gary Chartrand,
Linda Lesniak,
Graphs & Digraphs, 5th. edition,
Chapman & Hall, 2010.
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Jonathan L. Gross,
Jay Yellen (editors),
Handbook of Graph Theory,
CRC Press, 2003.
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O. Melnikov, V. Sarvanov, R. Tyshkevich,
V. Yemelichev, I. Zverovich,
Exercises in Graph Theory,
Kluwer, 1998.
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Claude Berge,
The Theory of Graphs and Its Applications,
Mathuen & John Wiley, 1962.
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Frank Harary,
Graph Theory,
Addison-Wesley, 1972.
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Narsingh Deo,
Graph Theory with Applications to Engineering and Computer Science,
Prentice Hall, 1974.
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Norman L. Biggs, E. Keith Lloyd, Robin J. Wilson,
Graph Theory 1736-1936,
Claredon Press, 1976.
[História da teoria dos grafos,
com reprodução de alguns artigos seminais clássicos.]
Tópicos especializados
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Cécile Murat, Vangelis Th. Paschos,
Probabilistic Combinatorial Optimization on Graphs,
Wiley Interscience, 2006.
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C.Q. Zhang,
Integer Flows and Cycle Covers of Graphs,
1997.
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A. Brandstädt, V.B. Le, J.P. Spinrad,
Graph Classes: A Survey,
SIAM Monographs on Discrete Mathematics and Applications,
1999.
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Tommy R. Jensen,
Bjarne Toft,
Graph Coloring Problems,
John Wiley, 1995.
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Gary Chartrand, Ping Zhang,
Chromatic Graph Theory,
Chapman&Hall / CRC, 2008.
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Jorge L. Ramírez Alfonsín, Bruce A. Reed (eds.),
Perfect Graphs,
Wiley-Interscience Series in Discrete Mathematics and Optimization,
John Wiley & Sons, 2001.
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Martin C. Golumbic,
Algorithmic Graph Theory and Perfect Graphs,
2nd. ed.,
Annals of Discrete Mathematics 57,
Elsevier, 2004.
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Bojan Mohar,
Carsten Thomassen,
Graphs on Surfaces,
Johns Hopkins University Press, 1999?
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N.V.R. Mahadev,
U.N. Peled,
Threshold Graphs and Related Topics,
Annals of Discrete Mathematics 56,
Elsevier, North-Holland, 1995.
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P. Feofiloff, C.L. Lucchesi,
Algoritmos para Igualdades Minimax em Grafos,
VI Escola de Computação (Campinas), 1988.
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David F Manlove,
Algorithmics of Matching Under Preferences,
World Scientific, 2013.
Aplicações
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Martin C. Golumbic,
Irith Ben-Arroyo,
Graph Theory, Combinatorics and Algorithms:
Interdisciplinary Applications,
(Operations Research/Computer Science Interfaces Series),
Hartman,
2005.
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Fred S. Roberts,
Discrete Mathematical Models
with Applications to Social, Biological and Environmental Problems,
Prentice-Hall, 1976.
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Fred S. Roberts,
Graph Theory and its Application to Problems of Society,
NFS-CBMS monograph 29, SIAM, 1978.
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Fan Chung, Linyan Lu,
Complex Graphs and Networks,
(série CBMS: Regional Conference Series in Mathematics, 107),
AMS (American Mathematical Society), 2006.
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Duncan J. Watts,
Small Worlds:
The Dynamics of Networks between Order and Randomness,
Princeton University Press, 2003.
Assuntos relacionados
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Martin Aigner, Günter M. Ziegler,
Proofs from the book,
Springer, 1998.
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David Harel,
Algorithmics: The Spirit of Computing, 2nd.ed.
Addison-Wesley, 1992.
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Lowell W. Beineke, Robin J. Wilson (eds.),
Graph Connections:
Relationships between Graph Theory and Other Areas of Mathematics,
Clarendon Press, 1997.
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William Kocay, Donald L. Kreher,
Graphs, Algorithms, and Optimization,
Chapman & Hall/CRC, 2005.