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 attention-grabbing textual content presents a finished learn of the Erdős–Ko–Rado Theorem, with a spotlight on algebraic tools. The authors start by way of discussing recognized proofs of the EKR certain for intersecting households. The common generalization of the EKR Theorem holds for lots of varied gadgets that experience a inspiration of intersection, and the majority of this publication makes a speciality of algebraic proofs that may be utilized to those varied items. The authors introduce instruments common in algebraic graph idea and express how those can be utilized to end up models of the EKR Theorem. themes comprise organization schemes, strongly normal graphs, the Johnson scheme, the Hamming scheme and the Grassmann scheme. Readers can extend their realizing at each step with the one hundred seventy end-of-chapter workouts. the ultimate bankruptcy discusses intimately 15 open difficulties, each one of which might make an engaging study 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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