WebAug 10, 2011 · The study of intersecting families started in [19], which features the classical result, known as the Erdős-Ko-Rado (EKR) Theorem, that says that, for 1 ≤ t ≤ r, there … WebA new short proof of the EKR theorem Peter Frankl∗ and Zolt´an Fu¨redi† Abstract A family F is intersecting if F∩F′ 6= ∅ whenever F,F′ ∈ F. Erdo˝s, Ko, and Rado [6] showed that …
Algebraic Graph Theory: Group Theory and the Erdős …
WebNov 24, 2015 · The natural generalization of the EKR Theorem holds for many different objects that have a notion of intersection, and the bulk of this book focuses on algebraic proofs that can be applied to these different objects. The authors introduce tools commonly used in algebraic graph theory and show how these can be used to prove versions of the … WebDec 5, 2015 · The exact bound in the EKR Theorem 135; Christopher Godsil, University of Waterloo, Ontario, Karen Meagher, University of Regina, Saskatchewan, Canada; Book: … daddy long legs dolls collectibles
Probabilistic Extensions of the Erd˝os-Ko-Rado Property
WebJul 28, 2009 · A nice result of Hilton that generalises the Erdős–Ko–Rado (EKR) Theorem says that if and are cross-intersecting sub-families of , then and the bounds are best possible. We give a short proof of a slightly stronger version. For this purpose, we extend Daykin’s proof of the EKR Theorem to obtain the following improvement of the EKR ... WebAug 1, 2012 · A proof and generalizations of the Erdős–Ko–Rado theorem using the method of linearly independent polynomials Websecting shadow theorem (2), namely an estimate using ∂ a−b+1A. Linear algebraic proofs are common in combinatorics, see the book [1]. For recent successes of the method concerning intersecting families see Dinur and Friedgut [4, 5]. There is a relatively short proof of the EKR theorem in [9] using linearly independent polynomials. bin para microsoft store