{"product_id":"random-graphs-and-complex-networks-volume-2-hardback-9781107174009","title":"Random Graphs and Complex Networks: Volume 2 (Hardback) 9781107174009","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eRandom Graphs and Complex Networks: Volume 2\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eThe definitive introduction to the local and global structure of random graph models for complex networks.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eRemco van der Hofstad (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781107174009, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 8 February 2024\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e506 pages\u003cbr\u003e26.1 x 18.6 x 3.3 cm, 1.13 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e'This is a wonderful book, covering major topics at the forefront of modern random graph theory and its application to the modelling and description of real-world complex networks. Whereas Volume 1 covers basic models, ideas and techniques, Volume 2 focusses on two key topics - connected components and small world properties – for three different classes of random graphs - inhomogeneous random graphs, configuration models, preferential attachment models. At the basis is the notion of local convergence, which is powerful tool to describe large sparse random graphs. Suitable for researchers at the level of PhD and above, the two volumes will become a landmark in network science.' Frank den Hollander, Leiden University\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eComplex networks are key to describing the connected nature of the society that we live in. This book, the second of two volumes, describes the local structure of random graph models for real-world networks and determines when these models have a giant component and when they are small-, and ultra-small, worlds. This is the first book to cover the theory and implications of local convergence, a crucial technique in the analysis of sparse random graphs. Suitable as a resource for researchers and PhD-level courses, it uses examples of real-world networks, such as the Internet and citation networks, as motivation for the models that are discussed, and includes exercises at the end of each chapter to develop intuition. The book closes with an extensive discussion of related models and problems that demonstratemodern approaches to network theory, such as community structure and directed models.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePreface\u003cbr\u003e Possible course outline\u003cbr\u003e Part I. Preliminaries: 1. Introduction and preliminaries\u003cbr\u003e 2. Local convergence of random graphs\u003cbr\u003e Part II. Connected Components in Random Graphs: 3. Connected components in general inhomogeneous random graphs\u003cbr\u003e 4. Connected components in configuration models\u003cbr\u003e 5. Connected components in preferential attachment models\u003cbr\u003e Part III. Small-world Properties of Random Graphs: 6. Small-world phenomena in inhomogeneous random graphs\u003cbr\u003e 7. Small-world phenomena in configuration models\u003cbr\u003e 8. Small-world phenomena in preferential attachment models\u003cbr\u003e Part IV. Related Models and Problems: 9. Related models\u003cbr\u003e Appendix\u003cbr\u003e Glossary\u003cbr\u003e References\u003cbr\u003e Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Probability \u0026amp; statistics [\u003ca title=\"See our other books on Probability \u0026amp; statistics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Probability%20\u0026amp;%20statistics%20%5BPBT%5D%22\"\u003ePBT\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Brand New","offer_id":52472159109400,"sku":"9781107174009","price":59.59,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/files\/9781107174009i.jpg?v=1785719605","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/random-graphs-and-complex-networks-volume-2-hardback-9781107174009","provider":"Freshly Printed Books","version":"1.0","type":"link"}