Extremal Graph Theory with Emphasis on Probabilistic Methods Expository Lectures
Regional Conference
Seiten
1986
American Mathematical Society (Verlag)
978-0-8218-0712-5 (ISBN)
American Mathematical Society (Verlag)
978-0-8218-0712-5 (ISBN)
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Problems in extremal graph theory have traditionally been tackled by ingenious methods which made use of the structure of extremal graphs. Based on the NSF-CBMS Regional Conference on Graph Theory held at Emory University in June, 1984, this book focuses on a trend towards probabilistic methods.
Problems in extremal graph theory have traditionally been tackled by ingenious methods which made use of the structure of extremal graphs. In this book, an update of his 1978 book ""Extremal Graph Theory"", the author focuses on a trend towards probabilistic methods. He demonstrates both the direct use of probability theory and, more importantly, the fruitful adoption of a probabilistic frame of mind when tackling main line extremal problems. Essentially self-contained, the book does not merely catalog results, but rather includes considerable discussion on a few of the deeper results. The author addresses pure mathematicians, especially combinatorialists and graduate students taking graph theory, as well as theoretical computer scientists. He assumes a mature familiarity with combinatorial methods and an acquaintance with basic graph theory. The book is based on the NSF-CBMS Regional Conference on Graph Theory held at Emory University in June, 1984.
Problems in extremal graph theory have traditionally been tackled by ingenious methods which made use of the structure of extremal graphs. In this book, an update of his 1978 book ""Extremal Graph Theory"", the author focuses on a trend towards probabilistic methods. He demonstrates both the direct use of probability theory and, more importantly, the fruitful adoption of a probabilistic frame of mind when tackling main line extremal problems. Essentially self-contained, the book does not merely catalog results, but rather includes considerable discussion on a few of the deeper results. The author addresses pure mathematicians, especially combinatorialists and graduate students taking graph theory, as well as theoretical computer scientists. He assumes a mature familiarity with combinatorial methods and an acquaintance with basic graph theory. The book is based on the NSF-CBMS Regional Conference on Graph Theory held at Emory University in June, 1984.
Subdivisions Contractions Small graphs of large girth Large graphs of small diameter Cycles in dense graphs The evolution of random graphs The size Ramsey number of a path Weakly saturated graphs List colourings.
| Erscheint lt. Verlag | 30.12.1986 |
|---|---|
| Reihe/Serie | CBMS Regional Conference Series in Mathematics |
| Verlagsort | Providence |
| Sprache | englisch |
| Gewicht | 142 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Graphentheorie |
| ISBN-10 | 0-8218-0712-9 / 0821807129 |
| ISBN-13 | 978-0-8218-0712-5 / 9780821807125 |
| Zustand | Neuware |
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