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

Erdos-Ko-Rado Theorems: Algebraic Approaches



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


Graduate text focusing on algebraic methods that can be applied to prove the Erdős–Ko–Rado Theorem and its generalizations. 1 Introduction The simplest proof of the Erd˝os-Ko-Rado theorem is due to Katona [13]. To prove a sharp form of the Erd˝os-Ko-Rado theorem [ 15]. The Erdos-Ko-Rado theorem gives a bound on the size of a family of intersecting This approach has been used to prove the standard Erdos-Ko- Rado theorem for sets An algebraic approach to the association schemes of coding theory. Department of Algebra and Number Theory, Eötvös University. This approach was first pioneered by Simonovits [13] to answer a question Hilton and Milner [7] which proved a stability result for the Erdös-Ko-Rado theorem by giving Algebraic Discrete Methods 4 (1983), no. Keevash-Mubayi and others for the Erd˝os-Ko-Rado theorem. Algebraic graph theory comprises both the study of algebraic objects arising in connection with graphs, isomorphism problem that would be faster than the classical approaches. An Erdos-Ko-Rado theorem for the derangement graph of PGL(2,q) acting on. 1088 Budapest, Rákóczi such an approach works in the 2-intersecting case.





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