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Walk Through Combinatorics, A: An Introduction To Enumeration And Graph Theory (Hardcover, Second Edition)
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Walk Through Combinatorics, A: An Introduction To Enumeration And Graph Theory (Hardcover, Second Edition)
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This is a textbook for an introductory combinatorics course that
can take up one or two semesters. An extensive list of problems,
ranging from routine exercises to research questions, is included.
In each section, there are also exercises that contain material not
explicitly discussed in the preceding text, so as to provide
instructors with extra choices if they want to shift the emphasis
of their course. Just as with the first edition, the new edition
walks the reader through the classic parts of combinatorial
enumeration and graph theory, while also discussing some recent
progress in the area: on the one hand, providing material that will
help students learn the basic techniques, and on the other hand,
showing that some questions at the forefront of research are
comprehensible and accessible for the talented and hard-working
undergraduate. The basic topics discussed are: the twelvefold way,
cycles in permutations, the formula of inclusion and exclusion, the
notion of graphs and trees, matchings and Eulerian and Hamiltonian
cycles. The selected advanced topics are: Ramsey theory, pattern
avoidance, the probabilistic method, partially ordered sets, and
algorithms and complexity. As the goal of the book is to encourage
students to learn more combinatorics, every effort has been made to
provide them with a not only useful, but also enjoyable and
engaging reading.
General
Imprint: |
World Scientific Publishing Co Pte Ltd
|
Country of origin: |
Singapore |
Release date: |
October 2006 |
First published: |
October 2006 |
Authors: |
Miklos Bona
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Dimensions: |
229 x 161 x 32mm (L x W x T) |
Format: |
Hardcover
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Pages: |
492 |
Edition: |
Second Edition |
ISBN-13: |
978-981-256-885-4 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
Combinatorics & graph theory
|
LSN: |
981-256-885-9 |
Barcode: |
9789812568854 |
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