Erdős-Ko-Rado theorems : algebraic approaches (Record no. 66915)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 01675nam a2200181 4500 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9781107128446 |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 512 |
| Item number | GOD/E |
| 100 ## - MAIN ENTRY--AUTHOR NAME | |
| Personal name | Godsil, Christopher |
| 245 ## - TITLE STATEMENT | |
| Title | Erdős-Ko-Rado theorems : algebraic approaches |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication | Cambridge |
| Name of publisher | Cambridge University press |
| Year of publication | 2016 |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | 335 p. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | Aimed at graduate students and researchers, this fascinating text provides a comprehensive study of the Erdős–Ko–Rado Theorem, with a focus on algebraic methods. The authors begin by discussing well-known proofs of the EKR bound for intersecting families. The natural generalization of the EKR Theorem holds for many different objects that have a notion of intersection, and the bulk of this book focuses on algebraic proofs that can be applied to these different objects. The authors introduce tools commonly used in algebraic graph theory and show how these can be used to prove versions of the EKR Theorem. Topics include association schemes, strongly regular graphs, the Johnson scheme, the Hamming scheme and the Grassmann scheme. Readers can expand their understanding at every step with the 170 end-of-chapter exercises. The final chapter discusses in detail 15 open problems, each of which would make an interesting research project.<br/><br/> Comprehensive look at the EKR Theorem covering many areas and techniques<br/> Self-contained chapters and exercises make this text suitable for a graduate course<br/> Final chapter outlines open research problems to inspire future research<br/><br/> |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Combinatorial analysis |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Hypergraphs |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Intersection theory (Mathematics) |
| 700 ## - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Meagher, Karen |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | BK |
| 952 ## - LOCATION AND ITEM INFORMATION (KOHA) | |
| Withdrawn status | |
| Lost status | |
| Damaged status | |
| Collection code | Home library | Shelving location | Date acquired | Full call number | Accession Number | Koha item type |
|---|---|---|---|---|---|---|
| Stack | Kannur University Central Library | Stack | 15/06/2023 | 512 GOD/E | 59467 | BK |