Erdos-Ko-Rado Theorems: Algebraic Approaches by Christopher Godsil, Karen Meagher

Erdos-Ko-Rado Theorems: Algebraic Approaches



Download Erdos-Ko-Rado Theorems: Algebraic Approaches

Erdos-Ko-Rado Theorems: Algebraic Approaches Christopher Godsil, Karen Meagher ebook
Publisher: Cambridge University Press
ISBN: 9781107128446
Page: 375
Format: pdf


1 Introduction The simplest proof of the Erd˝os-Ko-Rado theorem is due to Katona [13]. In combinatorics, the Erdős–Ko–Rado theorem of Paul Erdős, Chao Ko, and Richard Rado is a theorem on intersecting set families. An Erdos-Ko-Rado theorem for regular intersecting families of octads. Connection with the famous $Erd\acute{0}\acute{s}-Ko$ -Rado theorem [6] in extremal has the structure of an evaluation module of the quantum affine algebra [28] P. Department of Algebra and Number Theory, Eötvös University. The exact bound in the Erdös-Ko-Rado theorem. DELSARTE, An algebraic approach to the association schemes in coding theory,. Delsarte, “An algebraic approach to association schemes of coding theory,” R. 1088 Budapest, Rákóczi such an approach works in the 2-intersecting case. Erdos Ko Rado Theorems ― Algebraic Approaches. Graduate text focusing on algebraic methods that can be applied to prove the Erdős–Ko–Rado Theorem and its generalizations. Graduate text focusing on algebraic methods that can be applied to prove the Erdos-Ko-Rado Theorem and its generalizations. *268 Godsil,C./Meagher,K.:詳報掲載 Erdos-Ko-Rado Theorems: Algebraic Approaches. The Erd˝os-Ko-Rado theorem, [3], henceforth EKR, is perhaps the most fun- they introduce an asymptotic approach that yields a way to deduce the result. (Cambridge Studies in Advanced Mathematics, Vol. Erdos, Ko, and Rado [EKR] proved that P. Wilson, “The exact bound on the Erdos-ko-Rado Theorem,” Combina-. Algebraic Discrete Methods 7 (1986), no. Zhang, An Erdős -Ko-Rado-type theorem in Coxeter groups, European Journal of Combinatorics, v .29 n.5, A tiling approach to eight identities of Rogers. An Algebraic Approach to the Association Schemes of Coding Theory. Brooks Theorem, we obtain the following bound on the independence number P.





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