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Combinatorial Problems and Exercises, Second Edition [Hardcover]

L. Lovász (Author)
5.0 out of 5 stars  See all reviews (3 customer reviews)

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Book Description

August 25, 1993 044481504X 978-0444815040 2
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.


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Combinatorial Problems and Exercises, Second Edition + Matching Theory (AMS Chelsea Publishing) + The Probabilistic Method (Wiley Series in Discrete Mathematics and Optimization)
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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 an alternate Hardcover edition.

Product Details

  • Hardcover: 636 pages
  • Publisher: North Holland; 2 edition (August 25, 1993)
  • Language: English
  • ISBN-10: 044481504X
  • ISBN-13: 978-0444815040
  • Product Dimensions: 9.9 x 6.8 x 1.6 inches
  • Shipping Weight: 3.2 pounds (View shipping rates and policies)
  • Average Customer Review: 5.0 out of 5 stars  See all reviews (3 customer reviews)
  • Amazon Best Sellers Rank: #2,248,194 in Books (See Top 100 in Books)

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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 review is from: Combinatorial Problems and Exercises, Second Edition (Hardcover)
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 review is from: Combinatorial Problems and Exercises, Second Edition (Hardcover)
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 review is from: Combinatorial Problems and Exercises, Second Edition (Hardcover)
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)
First Sentence:
There is no rule which says that enumeration problems, even the simplest ones, must have solutions expressible as closed formulas. Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
legitimate coloration, mean cover time, mean commute time, mean access time, suppose indirectly, sieve formula, odd circuit, subdivided edges, monochromatic edge, basic enumeration, assume indirectly, fractional matching, good coloration, transitive tournament, disjoint circuits, direct congruences, monochromatic solution, symmetric chains, independent edges, chromatic number, traverse sequence, simple digraph, fractional cover, maximum matching, odd triangle
Key Phrases - Capitalized Phrases (CAPs): (learn more)
Acta Math, Lecture Notes, London Math, Discrete Math, Theory of Graphs, Hypergraph Seminar, Academic Press, New York, Periodica Math, Deduce the Cayley, Studia Sci
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