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Random Graphs, by Bela Bollobas
Download PDF Random Graphs, by Bela Bollobas
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This is a new edition of a now classic text. The addition of two new sections, numerous new results and over 150 references mean that this represents an up-to-date account of random graph theory. Suitable for mathematicians, computer scientists and electrical engineers, as well as people working in biomathematics.
- Sales Rank: #1480342 in Books
- Published on: 1985-09
- Original language: English
- Number of items: 1
- Binding: Paperback
- 447 pages
Review
"An up-to-date, comprehensive account of the random graph theory, this edition of what's considered a "classic" text contians two new sections, numerous new results, and over 150 references."
Poptronics
"The book is very impressive in the wealth of information it offers. It is bound to become a reference material on random graphs."
Miklos Bona, SIGACT News
About the Author
B�la Bollob�s has taught at Cambridge University's Department of Pure Maths and Mathematical Statistics for over 25 years and has been a fellow of Trinity College for 30 years. Since 1996, he has held the unique Chair of Excellence in the Department of Mathematical Sciences at the University of Memphis. Bollob�s has previously written over 250 research papers in extremal and probabilistic combinatorics, functional analysis, probability theory, isoperimetric inequalities and polynomials of graphs.
Most helpful customer reviews
5 of 5 people found the following review helpful.
Standard reference in the subject
By Narada
And has a lot of material, but the organization leaves much to be desired, and standard results in the field are there but very difficult to find (for example, good luck finding the proof of the classical Erdos-Renyi theorem on connectivity threshold for random graphs. The canonical proof is about half a page, while the proof you can back out of Bollobas is maybe two chapters. The configuration model (which is actually due to the author) is actually very simple and explained well in papers by N. Wormald. It is a little painful to read about in this book. Perhaps the most widely used property of random graphs is that they have the expander property (another result of Erdos). This is also carefully hidden.
It is also a little painful for me to give a less than glowing review of this, since I really like Modern Graph Theory, and random graphs are pervasive in modern mathematics, so we really need a good book. This one is not bad, but...
6 of 10 people found the following review helpful.
Written by a Master in the Field
By PST
This is the second book by Dr. Bollobas that I have read, and it is clear, that Dr. Bollobas is a master in the field.
It is amazing, how few lines he needs to motivate the subject matter completely.
The gaps in the proofs were sometimes large for me, but then again, the audience he wishes to address are "research students and professional mathematicians", and I am only a hobby mathematician.
The only minus point are the large number of misprints: I counted over 130 of them, and this is not counting misprints like 'some' instead of 'same', etc. This is very annoying if one uses the book for self study.
(Unfortunaltely misprints seem Dr. Bollobas' problem: Also the other book I read: 'Modern Graph Theory' had more than its share)
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