Parameters measuring the size of set families - Combinatorial Parameters

Densest Subgraph (twice)

Name: Densest Subgraph (twice)

Symbol: $\mathrm{dens}^*$

Definition:

The densest subgraph dimension of a concept class is equal to twice the density of the densest subgraph (a.k.a. subgraph density) of its $1$-inclusion graph.

Comments:

The densest subgraph is dual to the lowest outdegree orientation.

Category: Graph-based

Symmetric: Yes

Monotonic: Yes

P-Monotonic: No

Doubly Monotonic: No

Strictly Monotonic: No

Values: None