On Large Systems of Sets with No Large Weak Δ-subsystems

نویسندگان
چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

On Large Systems of Sets with No Large Weak ∆-subsystems

The notion of a weak ∆-system was introduced and studied by Erdős, Milner and Rado [5] in 1974. A weak ∆-system is a family of sets where all pairs of sets have the same intersection size. Erdős and Szemerédi [7] investigated the behavior of the function F (n,r)—the largest integer so that there exists a family F of subsets of an n-element set which does not contain a ∆-system of r sets. Answer...

متن کامل

Factor-GMM estimation with large sets of possibly weak instruments

This paper analyses the use of factor analysis for instrumental variable estimation when the number of instruments tends to infinity. We consider cases where the unobserved factors are the optimal instruments but also cases where the factors are not necessarily the optimal instruments but can provide a summary of a large set of instruments. Further, the situation where many weak instruments exi...

متن کامل

Triangle-Free Geometric Intersection Graphs with No Large Independent Sets

It is proved that there are triangle-free intersection graphs of line segments in the plane with arbitrarily small ratio between the maximum size of an independent set and the total number of vertices.

متن کامل

Unavoidable induced subgraphs in large graphs with no homogeneous sets

An n-vertex graph is prime if it has no homogeneous set, that is a set X of vertices (2 ≤ |X| ≤ n − 1) such that every vertex not in X is either complete or anticomplete to X. A chain of length t is a sequence of t+ 1 vertices such that for every vertex in the sequence except the first one, its immediate predecessor is its unique neighbor or its unique non-neighbor among all of its predecessors...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: COMBINATORICA

سال: 1998

ISSN: 0209-9683

DOI: 10.1007/pl00009819