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 2013 · math.COShow all

2 papers · 2 filters

math.CO2013

The maximum product of sizes of cross- $t$ -intersecting uniform 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. Two families $A$ and $B$ are said to be \emph{cross- $t$ -…

math.CO2013★ 1 cited

Intersecting integer partitions

Peter Borg

If $a_{1}, a_{2}, ..., a_{k}$ and $n$ are positive integers such that $n = a_{1} + a_{2} + ... + a_{k}$ , then the sum $a_{1} + a_{2} + ... + a_{k}$ is said to be a \emph{partition of $n$ } of \emph{l…

The maximum product of sizes of cross-t-intersecting uniform families

Intersecting integer partitions

The maximum product of sizes of cross- $t$ -intersecting uniform families