The study of random graphs was begun in the 1960s and now has a comprehensive literature. This excellent book by one of the top researchers in the field now joins the study of random graphs (and other random discrete objects) with mathematical logic. The methodologies involve probability, discrete structures and logic, with an emphasis on discrete structures.
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Editorial Reviews
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From the reviews of the first edition: "The author … is a leading expert in random graph theory, and reputed for his expository style. His recent book is again a well-written and exciting text, which I warmly recommend to researchers and graduate students interested in the subject. … The book has a clear and vivid style, and the material is essentially self-contained, so it is very well-suited for self-study." (Péter Mester, Acta Scientiarum Mathematicarum, Vol. 69, 2003) "This beautifully written book deals with the fascinating world of random graphs, using a nice blend of techniques coming from combinatorics, probability and mathematical logic, while keeping the treatment self-contained." (Alessandro Berarducci, Mathematical Reviews, Issue 2003 d)
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Key Phrases - Statistically Improbable Phrases (SIPs):
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spoiler selects, first order world, safe extension, adjacency pattern, vert ices, rooted graph, rigid extension, quantifier depth, countable models, witness request, marked vertices, first order sentence, extension schema, sure theory, graph language, limiting probability, isolated vertices, limiting probabilities, first order property, random graphs Key Phrases - Capitalized Phrases (CAPs): (learn more)
Zero-One Law, Alice's Restaurant, Finite Closure Theorem, Very Sparse Graphs, Bridge Theorem New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
spoiler selects, first order world, safe extension, adjacency pattern, vert ices, rooted graph, rigid extension, quantifier depth, countable models, witness request, marked vertices, first order sentence, extension schema, sure theory, graph language, limiting probability, isolated vertices, limiting probabilities, first order property, random graphs Key Phrases - Capitalized Phrases (CAPs): (learn more)
Zero-One Law, Alice's Restaurant, Finite Closure Theorem, Very Sparse Graphs, Bridge Theorem New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
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- Random Graphs by Svante Janson in Back Matter
- Intelligence in Communication Systems: IFIP International Conference on Intelligence in Communication Systems, INTELLCOMM 2005, Montreal, Canada, ... in Information and Communication Technology) by Roch Glitho on page 279
- Wireless Sensor Networks (ERCOFTAC Series) by C.S. Raghavendra on page 303
- Mathematical Foundations of Computer Science 2005: 30th International Symposium, MFCS 2005, Gdansk, Poland, August29-September 2. 2005, Proceedings ... Computer Science and General Issues) by Joanna Jedrzejowicz on page 602
- Advances in Control, Communication Networks, and Transportation Systems: In Honor of Pravin Varaiya (Systems & Control: Foundations & Applications) by Eyad H. Abed on page 202
- Computer Security in the 21st Century by D.T. Lee on page 105
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