P. Borg

activity

20102023

most citedIntersecting families of sets and permutations: a survey

34 citations · 64 across the 22 of their papers we have counts for

collaborators

Showing 2011 · math.COShow all

3 papers · 2 filters

math.CO2011★ 34 cited

Intersecting families of sets and permutations: a survey

Peter Borg

A family $A$ of sets is said to be \emph{ $t$ -intersecting} if any two sets in $A$ have at least $t$ common elements. A central problem in extremal set theory is…

math.CO2011

Cross-intersecting sub-families of hereditary families

Peter Borg

Families $A_{1}, A_{2}, ..., A_{k}$ of sets are said to be \emph{cross-intersecting} if for any $i$ and $j$ in ${1, 2, ..., k}$ with $i \neq = j$ , any set i…

math.CO2011

The maximum sum and maximum product of sizes of cross-intersecting families

Peter Borg

We say that a set $A$ \emph{ $t$ -intersects} a set $B$ if $A$ and $B$ have at least $t$ common elements. A family $A$ of sets is said to be \emph{ $t$ -intersecting} if each…