Introduction to random graphs
Material type: TextPublication details: United Kingdom : Cambridge University Press, ©2016.Description: xvii, 464 p. ; 25 cmISBN:- 9781107118508
- 511.5 23 FRI-I
- QA166.17 .F75 2016
Item type | Current library | Collection | Call number | Status | Notes | Date due | Barcode | Item holds |
---|---|---|---|---|---|---|---|---|
Books | IIITD Reference | Mathematics | REF 511.5 FRI-I (Browse shelf(Opens below)) | Checked out | Imported edition | 31/07/2024 | 006713 |
Browsing IIITD shelves, Shelving location: Reference, Collection: Mathematics Close shelf browser (Hides shelf browser)
REF 511.5 CHU-S Spectral graph theory | REF 511.5 DEO-G Graph theory : with applications to engineering and computer science | REF 511.5 EVE-G Graph algorithms | REF 511.5 FRI-I Introduction to random graphs | REF 511.5 GOD-A Algebraic graph theory | REF 511.5 GRO-G Graph theory and its applications | REF 511.5 GRO-H Handbook of graph theory |
Includes bibliographical references (pages 420-455) and index.
Machine 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.
"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"--
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