I have a clustering problem with $\{0,1\}$ distances between a set of nodes, which can be stated as follows:
Given: Finite set $\mathbb{X}$, a distance $d(x, y) \in \{0,1\}$ for each pair $(x, y) \in \mathbb{X}$, and positive integers $S$ and $H$.
QUESTION: Is there a partition of $\mathbb{X}$ into disjoint sets $\mathbb{X}_1, \mathbb{X}_2, \dots, \mathbb{X}_S$ to minimize $\sum_{s=1}^S \sum_{x,y \in \mathbb{X}_s} d(x,y)$ where $|\mathbb{X}_s| \leq H$?
Is there a specific name for such a clustering problem so that I can find the complexity proof of it?