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TY  - BOOK
ID  - 4803889
TI  - Combinatorics and graph theory
AU  - Harris, John Michael
AU  - Hirst, Jeffry L.
AU  - Mossinghoff, Michael J.
PY  - 2008
SN  - 01726056
SN  - 9780387797113 0387797106 9780387797106 0387797114 1441927239 0387797113
PB  - New York (N.Y.) : Springer,
DB  - UniCat
KW  - Análisis combinatorio
KW  - Grafos, Teoría de
KW  - Discrete mathematics
KW  - Combinatorial analysis
KW  - Graph theory
KW  - Combinatorial analysis.
KW  - Graph theory.
KW  - Discrete mathematics.
KW  - Combinatorics.
KW  - Mathematical logic.
KW  - Discrete Mathematics.
KW  - Mathematical Logic and Foundations.
KW  - Combinatorics
KW  - Algebra
KW  - Mathematical analysis
KW  - Discrete mathematical structures
KW  - Mathematical structures, Discrete
KW  - Structures, Discrete mathematical
KW  - Numerical analysis
KW  - Algebra of logic
KW  - Logic, Universal
KW  - Mathematical logic
KW  - Symbolic and mathematical logic
KW  - Symbolic logic
KW  - Mathematics
KW  - Algebra, Abstract
KW  - Metamathematics
KW  - Set theory
KW  - Syllogism
KW  - Logic, Symbolic and mathematical.
UR  - https://www.unicat.be/uniCat?func=search&query=sysid:4803889
AB  - This book covers a wide variety of topics in combinatorics and graph theory. It includes results and problems that cross subdisciplines, emphasizing relationships between different areas of mathematics. In addition, recent results appear in the text, illustrating the fact that mathematics is a living discipline. The second edition includes many new topics and features: • New sections in graph theory on distance, Eulerian trails, and Hamiltonian paths. • New material on partitions, multinomial coefficients, and the pigeonhole principle. • Expanded coverage of Pólya Theory to include de Bruijn’s method for counting arrangements when a second symmetry group acts on the set of allowed colors. • Topics in combinatorial geometry, including Erdos and Szekeres’ development of Ramsey Theory in a problem about convex polygons determined by sets of points. • Expanded coverage of stable marriage problems, and new sections on marriage problems for infinite sets, both countable and uncountable. • Numerous new exercises throughout the book. About the First Edition: ". . . this is what a textbook should be! The book is comprehensive without being overwhelming, the proofs are elegant, clear and short, and the examples are well picked." — Ioana Mihaila, MAA Reviews.
ER  -