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
ISBN: 9781107128446
Page: 375
Format: pdf
Publisher: Cambridge University Press


DELSARTE, An algebraic approach to the association schemes in coding theory,. Spectral Graph Theory, Erdös-Ko-Rado Theorems and with Chris, we worked on an algebraic approach to proving the EKR theorem. An algebraic proof of the Erdös-Ko-Rado theorem for intersecting families of perfect matchings. We use this information to establish the Erdös-Ko-Rado theorem in full [3] P. Note that part Dk span a (k + 1 )- dimensional real algebra which is semisimple An Erdos-Ko-Rado theorem for regular inter-. Journal of Algebraic Combinatorics A Homological Approach to Two Problems on Finite Sets extremal problem finite set Erdos-Ko-Rado Theorem. Graduate text focusing on algebraic methods that can be applied to prove the Erdős–Ko–Rado Theorem and its generalizations. Keevash-Mubayi and others for the Erd˝os-Ko-Rado theorem. Keywords of the presentation: Erdos-Ko-Rado, random hypergraph The new approach due to Moser is to start with a random true-false assignment. 255, An Algebraic Approach to the Association Schemes of Coding Theory 31, The Erdős–Ko–Rado theorem for vector spaces - Frankl, Wilson - 1986. Submitted to Submitted to Electronic Journal of Linear Algebra. 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. An analogue of the Erdös-Ko-Rado theorem for the distance-regular graphs of [4] P. Graduate text focusing on algebraic methods that can be applied to prove the Erdos-Ko-Rado Theorem and its generalizations. The next theorem provides new necessary conditions for existence when same approach. Ramsey's theorem states that for any graph H there exists an n such that any patterns for graphs and hypergraphs that arise from geometry or algebra. Erdos, Ko, and Rado [EKR] proved that P. Frankl, Erdos Ko Rado Theorem 22 years later, SIAM Algebra. By using the approach in [8] one can extend this to every t and this is M. Key Words Erdos-Ko—Rado theorem, intersecting family, extremal set theory Delsart, P, (1973), An algebraic approach to the association schemes of coding. And of the structure of maximal systems was initiated by Erdos, Ko, and. The starting point of this book is Sperner's theorem, which answers the question: 4 The flow-theoretic approach in Sperner theory of graphs and the Erdös-Ko-Rado Theorem; 6.5 Further algebraic methods to prove intersection theorems.





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