000			02688cam a2200325 i 4500
001			18743415
003			IIITD
005			20230210020002.0
008			150814s2016 nyua b 001 0 eng
010			_a 2015022579
020			_a9781107118508
040			_aDLC _beng _cDLC _erda _dDLC
042			_apcc
050	0	0	_aQA166.17 _b.F75 2016
082	0	0	_a511.5 _223 _bFRI-I
100	1		_aFrieze, Alan,
245	1	0	_aIntroduction to random graphs _cAlan Frieze and Michał Karoński.
260			_aUnited Kingdom : _bCambridge University Press, _c©2016.
300			_axvii, 464 p. ; _c25 cm.
504			_aIncludes bibliographical references (pages 420-455) and index.
505	8		_aMachine generated contents note: Preface; Part I. Basic Models: 1. Random graphs; 2. Evolution; 3. Vertex degrees; 4. Connectivity; 5. Small subgraphs; 6. Spanning subgraphs; 7. Extreme characteristics; 8. Extremal properties; Part II. Basic Model Extensions: 9. Inhomogeneous graphs; 10. Fixed degree sequence; 11. Intersection graphs; 12. Digraphs; 13. Hypergraphs; Part III. Other Models: 14. Trees; 15. Mappings; 16. k-out; 17. Real-world networks; 18. Weighted graphs; 19. Brief notes on uncovered topics; Part IV. Tools and Methods: 20. Moments; 21. Inequalities; 22. Differential equations method; 23. Branching processes; 24. Entropy; References; Author index; Main index.
520			_a"From social networks such as Facebook, the World Wide Web and the Internet, to the complex interactions between proteins in the cells of our bodies, we constantly face the challenge of understanding the structure and development of networks. The theory of random graphs provides a framework for this understanding, and in this book the authors give a gentle introduction to the basic tools for understanding and applying the theory. Part I includes sufficient material, including exercises, for a one semester course at the advanced undergraduate or beginning graduate level. The reader is then well prepared for the more advanced topics in Parts II and III. A final part provides a quick introduction to the background material needed. All those interested in discrete mathematics, computer science or applied probability and their applications will find this an ideal introduction to the subject"--
650		0	_aRandom graphs.
650		0	_aCombinatorial probabilities.
650		0	_aProbabilities.
700	1		_aKaroński, Michał.
906			_a7 _bcbc _corignew _d1 _eecip _f20 _gy-gencatlg
942			_2ddc _cBK _02
999			_c12499 _d12499