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Combinatorial problems and exercises [Unknown Binding]

Laszlo Lovasz (Author)
5.0 out of 5 stars  See all reviews (3 customer reviews)


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Book Description

1993
The aim of this book is to introduce a range of combinatorial methods for those who want to apply these methods in the solution of practical and theoretical problems. Various tricks and techniques are taught by means of exercises. Hints are given in a separate section and a third section contains all solutions in detail. A dictionary section gives definitions of the combinatorial notions occurring in the book.

Combinatorial Problems and Exercises was first published in 1979. This revised edition has the same basic structure but has been brought up to date with a series of exercises on random walks on graphs and their relations to eigenvalues, expansion properties and electrical resistance. In various chapters the author found lines of thought that have been extended in a natural and significant way in recent years. About 60 new exercises (more counting sub-problems) have been added and several solutions have been simplified.

--This text refers to the Hardcover edition.


Editorial Reviews

Review

"Lovász provides extensive help to those wishing to learn existing techniques in combinatories, approaching the topic in a participatory lecture format and providing hundreds of progressive exercises." ---- SciTech Book News --This text refers to the Hardcover edition.

Product Details

  • Unknown Binding: 635 pages
  • Publisher: Elsevier Science Publishers; 2nd edition (1993)
  • Language: English
  • ISBN-10: 9630564149
  • ISBN-13: 978-9630564144
  • Average Customer Review: 5.0 out of 5 stars  See all reviews (3 customer reviews)
  • Amazon Best Sellers Rank: #8,265,859 in Books (See Top 100 in Books)

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Average Customer Review
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16 of 16 people found the following review helpful:
5.0 out of 5 stars comprehensive, February 17, 2004
By 
This text consists purely of exercises and solutions. This seems like a difficult way to learn combinatorics (or any mathematics for that matter) but it is surprisingly effective. Lovasz starts off with simple problems that anyone can solve and quickly moves to more advanced problems. Lovasz's text covers more material than any other introductory combinatorics text I've seen.

For a more traditional (expository) introduction, consider Brualdi's Introductory Combinatorics.

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7 of 8 people found the following review helpful:
5.0 out of 5 stars Buy from AMS; new print available, November 6, 2008
By 
S. Oum (Princeton, NJ USA) - See all my reviews
(REAL NAME)   
This book is certainly excellent; moreover, you can now buy cheaper because it is in print again by AMS.
ISBN: 0821842625
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6 of 13 people found the following review helpful:
5.0 out of 5 stars Superb exposition of combinatorics via problems, June 8, 1999
By A Customer
This problem book will take the reader from a novice to an expert in the emerging area of discrete mathematics.
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Inside This Book (learn more)
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Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
legitimate coloration, mean cover time, mean commute time, suppose indirectly, sieve formula, mean access time, odd circuit, monochromatic edge, subdivided edges, assume indirectly, good coloration, direct congruences, monochromatic solution, disjoint circuits, transitive tournament, odd triangle, independent edges, traverse sequence, convex pentagon, maximum matching, monochromatic triangle, chromatic polynomial, assertion formulated, fractional cover, maximum independent set
Key Phrases - Capitalized Phrases (CAPs): (learn more)
Acta Math, London Math, Lecture Notes, Discrete Math, Theory of Graphs, Bolyai North-Holland, Studia Sci, Academic Press, Periodica Math, New York, Sperner's Theorem, Hypergraph Seminar, Deduce the Cayley
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