We call a family of sets intersecting, if any two sets in the family intersect. In this paper we investigate intersecting families F of k-element subsets of [n] := {1, ..., n}, such that every element of [n] lies in the same (or approximately the same) number of members of.F. In particular, we show that we can guarantee vertical bar vertical bar = o(((n-1)(k-1))) if and only if k = o(n). (C) 2019 Published by Elsevier B.V
AbstractA family F of distinct k-element subsets of the n-element set X is called intersecting if F ...
For a family $\mathcal F$, let $\mathcal D(\mathcal F)$ stand for the family of all sets that can be...
AbstractA large variety of problems and results in Extremal Set Theory deal with estimates on the si...
We call a family of sets intersecting, if any two sets in the family intersect. In this paper we inv...
Two families A and B of sets are cross-t-intersecting if each set in A intersects each set in B in ...
We study the maximum cardinality of a pairwise-intersecting family of subsets of an n-set, or the si...
A family $\mathcal{F}$ of subsets of $\{1,\dots,n\}$ is called $k$-wise intersecting if any $k$ memb...
AbstractIntersection problems occupy an important place in the theory of finite sets. One of the cen...
We show that an $n$-uniform maximal intersecting family has size at most $e^{-n^{0.5+o(1)}}n^n$. Thi...
A family $\mathcal{F}$ on ground set $[n]:=\{1,2,\ldots, n\}$ is maximal $k$-wise intersecting if ev...
AbstractLet X = [1, n] be a finite set of cardinality n and let F be a family of k-subsets of X. Sup...
AbstractSuppose that any t members (t⩾2) of a regular family on an n element set have at least k com...
AbstractWe discuss the maximum size of uniform intersecting families with covering number at leastτ....
A family A of sets is said to be intersecting if any two sets in A intersect. Families A1,...,Ap are...
A family $\mathcal{F}$ of subsets of $\{1,2,\ldots,n\}$ is called a $t$-intersecting family if $|F\c...
AbstractA family F of distinct k-element subsets of the n-element set X is called intersecting if F ...
For a family $\mathcal F$, let $\mathcal D(\mathcal F)$ stand for the family of all sets that can be...
AbstractA large variety of problems and results in Extremal Set Theory deal with estimates on the si...
We call a family of sets intersecting, if any two sets in the family intersect. In this paper we inv...
Two families A and B of sets are cross-t-intersecting if each set in A intersects each set in B in ...
We study the maximum cardinality of a pairwise-intersecting family of subsets of an n-set, or the si...
A family $\mathcal{F}$ of subsets of $\{1,\dots,n\}$ is called $k$-wise intersecting if any $k$ memb...
AbstractIntersection problems occupy an important place in the theory of finite sets. One of the cen...
We show that an $n$-uniform maximal intersecting family has size at most $e^{-n^{0.5+o(1)}}n^n$. Thi...
A family $\mathcal{F}$ on ground set $[n]:=\{1,2,\ldots, n\}$ is maximal $k$-wise intersecting if ev...
AbstractLet X = [1, n] be a finite set of cardinality n and let F be a family of k-subsets of X. Sup...
AbstractSuppose that any t members (t⩾2) of a regular family on an n element set have at least k com...
AbstractWe discuss the maximum size of uniform intersecting families with covering number at leastτ....
A family A of sets is said to be intersecting if any two sets in A intersect. Families A1,...,Ap are...
A family $\mathcal{F}$ of subsets of $\{1,2,\ldots,n\}$ is called a $t$-intersecting family if $|F\c...
AbstractA family F of distinct k-element subsets of the n-element set X is called intersecting if F ...
For a family $\mathcal F$, let $\mathcal D(\mathcal F)$ stand for the family of all sets that can be...
AbstractA large variety of problems and results in Extremal Set Theory deal with estimates on the si...
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