Get Erdős–Ko–Rado Theorems: Algebraic Approaches (Cambridge PDF

Get Erdős–Ko–Rado Theorems: Algebraic Approaches (Cambridge PDF

By Christopher Godsil,Karen Meagher

ISBN-10: 1107128447

ISBN-13: 9781107128446

geared toward graduate scholars and researchers, this interesting textual content offers a accomplished learn of the Erdős–Ko–Rado Theorem, with a spotlight on algebraic tools. The authors commence via discussing famous proofs of the EKR sure for intersecting households. The normal generalization of the EKR Theorem holds for lots of diverse gadgets that experience a proposal of intersection, and the majority of this booklet makes a speciality of algebraic proofs that may be utilized to those assorted gadgets. The authors introduce instruments normal in algebraic graph conception and convey how those can be utilized to end up types of the EKR Theorem. themes comprise organization schemes, strongly ordinary graphs, the Johnson scheme, the Hamming scheme and the Grassmann scheme. Readers can extend their knowing at each step with the a hundred and seventy end-of-chapter workouts. the ultimate bankruptcy discusses intimately 15 open difficulties, every one of which might make an enticing examine project.

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Erdős–Ko–Rado Theorems: Algebraic Approaches (Cambridge Studies in Advanced Mathematics) by Christopher Godsil,Karen Meagher

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