Modern Graph Theory:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
1998
|
| Schriftenreihe: | Graduate Texts in Mathematics
184 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | The time has now come when graph theory should be part of the education of every serious student of mathematics and computer science, both for its own sake and to enhance the appreciation of mathematics as a whole. This book is an in-depth account of graph theory, written with such a student in mind; it reflects the current state of the subject and emphasizes connections with other branches of pure mathematics. The volume grew out of the author's earlier book, Graph Theory -- An Introductory Course, but its length is well over twice that of its predecessor, allowing it to reveal many exciting new developments in the subject. Recognizing that graph theory is one of several courses competing for the attention of a student, the book contains extensive descriptive passages designed to convey the flavor of the subject and to arouse interest. In addition to a modern treatment of the classical areas of graph theory such as coloring, matching, extremal theory, and algebraic graph theory, the book presents a detailed account of newer topics, including Szemer'edi's Regularity Lemma and its use, Shelah's extension of the Hales-Jewett Theorem, the precise nature of the phase transition in a random graph process, the connection between electrical networks and random walks on graphs, and the Tutte polynomial and its cousins in knot theory. In no other branch of mathematics is it as vital to tackle and solve challenging exercises in order to master the subject. To this end, the book contains an unusually large number of well thought-out exercises: over 600 in total. Although some are straightforward, most of them are substantial, and others will stretch even the most able reader |
| Beschreibung: | 1 Online-Ressource (XIV, 394p. 114 illus) |
| ISBN: | 9781461206194 9780387984889 |
| ISSN: | 0072-5285 |
| DOI: | 10.1007/978-1-4612-0619-4 |
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Datensatz im Suchindex
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| author | Bollobás, Béla |
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| dewey-full | 511.6 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
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| dewey-search | 511.6 |
| dewey-sort | 3511.6 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4612-0619-4 |
| format | Electronic eBook |
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| spelling | Bollobás, Béla Verfasser aut Modern Graph Theory by Béla Bollobás New York, NY Springer New York 1998 1 Online-Ressource (XIV, 394p. 114 illus) txt rdacontent c rdamedia cr rdacarrier Graduate Texts in Mathematics 184 0072-5285 The time has now come when graph theory should be part of the education of every serious student of mathematics and computer science, both for its own sake and to enhance the appreciation of mathematics as a whole. This book is an in-depth account of graph theory, written with such a student in mind; it reflects the current state of the subject and emphasizes connections with other branches of pure mathematics. The volume grew out of the author's earlier book, Graph Theory -- An Introductory Course, but its length is well over twice that of its predecessor, allowing it to reveal many exciting new developments in the subject. Recognizing that graph theory is one of several courses competing for the attention of a student, the book contains extensive descriptive passages designed to convey the flavor of the subject and to arouse interest. In addition to a modern treatment of the classical areas of graph theory such as coloring, matching, extremal theory, and algebraic graph theory, the book presents a detailed account of newer topics, including Szemer'edi's Regularity Lemma and its use, Shelah's extension of the Hales-Jewett Theorem, the precise nature of the phase transition in a random graph process, the connection between electrical networks and random walks on graphs, and the Tutte polynomial and its cousins in knot theory. In no other branch of mathematics is it as vital to tackle and solve challenging exercises in order to master the subject. To this end, the book contains an unusually large number of well thought-out exercises: over 600 in total. Although some are straightforward, most of them are substantial, and others will stretch even the most able reader Mathematics Computer software Computer science Combinatorics Mathematics of Computing Algorithm Analysis and Problem Complexity Informatik Mathematik Graphentheorie (DE-588)4113782-6 gnd rswk-swf 1\p (DE-588)4123623-3 Lehrbuch gnd-content Graphentheorie (DE-588)4113782-6 s 2\p DE-604 https://doi.org/10.1007/978-1-4612-0619-4 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Bollobás, Béla Modern Graph Theory Mathematics Computer software Computer science Combinatorics Mathematics of Computing Algorithm Analysis and Problem Complexity Informatik Mathematik Graphentheorie (DE-588)4113782-6 gnd |
| subject_GND | (DE-588)4113782-6 (DE-588)4123623-3 |
| title | Modern Graph Theory |
| title_auth | Modern Graph Theory |
| title_exact_search | Modern Graph Theory |
| title_full | Modern Graph Theory by Béla Bollobás |
| title_fullStr | Modern Graph Theory by Béla Bollobás |
| title_full_unstemmed | Modern Graph Theory by Béla Bollobás |
| title_short | Modern Graph Theory |
| title_sort | modern graph theory |
| topic | Mathematics Computer software Computer science Combinatorics Mathematics of Computing Algorithm Analysis and Problem Complexity Informatik Mathematik Graphentheorie (DE-588)4113782-6 gnd |
| topic_facet | Mathematics Computer software Computer science Combinatorics Mathematics of Computing Algorithm Analysis and Problem Complexity Informatik Mathematik Graphentheorie Lehrbuch |
| url | https://doi.org/10.1007/978-1-4612-0619-4 |
| work_keys_str_mv | AT bollobasbela moderngraphtheory |