Peter Borg

Cross-Intersecting Families of Partial Permutations

For positive integers

Maximum Hitting of a Set by Compressed Intersecting Families

r

On Chvátal's conjecture and a conjecture on families of signed sets

and

Strongly intersecting integer partitions

n

The maximum product of weights of cross-intersecting families

with

Non-trivial intersecting uniform sub-families of hereditary families

r\leq n

Stars on trees

, let

A Hilton-Milner-type theorem and an intersection conjecture for signed sets

\mathcal{P}_{n,r}

The maximum product of sizes of cross-intersecting families

be the family of all sets

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

\{(x_1,y_1),\dots,(x_r,y_r)\}