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Random Graphs: Second Edition (Cambridge Studies in Advanced Mathematics, Band 73) (Englisch) Taschenbuch – 27. Mai 2011


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Pressestimmen

'… contains an enormous amount of material, assembled by one who has played a leading role in the development of the area.' Zentralblatt MATH

'This book, written by one of the leaders in the field, has become the bible of random graphs. This book is primarily for mathematicians interested in graph theory and combinatorics with probability and computing, but it could also be of interest to computer scientists. It is self-contained and lists numerous exercises in each chapter. As such, it is an excellent textbook for advanced courses or for self-study.' EMS

'There are many beautiful results in the theory of random graphs, and the main aim of the book is to introduce the reader and extensive account of a substantial body of methods and results from the theory of random graphs. This is a classic textbook suitable not only for mathematicians. It has clearly passed the test of time.' Internationale Mathematische Nachrichten

'… a very good and handy guidebhook for researchers.' Acta Scientiarum Mathematicarum

'The book is very impressive in the wealth of information it offers. It is bound to become a reference material on random graphs.' SIGACT News

Über das Produkt

In this second edition of a now classic text, the addition of two new sections, numerous new results and over 150 references mean that this represents a comprehensive account of random graph theory. Suitable for mathematicians, computer scientists and electrical engineers, as well as people working in biomathematics.

In diesem Buch (Mehr dazu)
Einleitungssatz
The aim of this chapter is to present the definitions, formulae and results of probability theory we shall need in the main body of the book. Lesen Sie die erste Seite
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Buchdeckel | Copyright | Inhaltsverzeichnis | Auszug | Stichwortverzeichnis | Rückseite
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5 von 5 Kunden fanden die folgende Rezension hilfreich
Standard reference in the subject 11. Oktober 2010
Von Narada - Veröffentlicht auf Amazon.com
Format: Gebundene Ausgabe
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...
5 von 9 Kunden fanden die folgende Rezension hilfreich
Written by a Master in the Field 9. Juli 2005
Von PST - Veröffentlicht auf Amazon.com
Format: Taschenbuch
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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