A set partition σ of [n] = {1, . . . , n} contains another set partition π if restricting σ to some S ⊆ [n] and then standardizing the result gives π. Otherwise we say σ av...
Samantha Dahlberg, Robert Dorward, Jonathan Gerhar...
A family A of sets is t-intersecting if the size of the intersection of every pair of sets in A is at least t, and it is an r-family if every set in A has size r. A wellknown theor...
Abstract. We prove that the combinatorial optimization problem of determining the hull number of a partial cube is NP-complete. This makes partial cubes the minimal graph class for...