Compact closed class of graphs

Compact closed class of graphs — компактно замкнутый класс графов.

A class $\,{\mathcal C}$ of graphs is said to be compact closed if, whenever a graph $\,G$ is such that each of its finite subgraphs is contained in a finite induced subgraph of $\,G$ which belongs to the class $\,{\mathcal C}$, the graph $\,G$ itself belongs to $\,{\mathcal C}$. We will say that a class $\,{\mathcal C}$ of graphs is dually compact closed if, for every infinite $\,G \in {\mathcal C}$, each finite subgraph of $\,G$ is contained in a finite induced subgraph of $\,G$ which belongs to $\,{\mathcal C}$.

Литература

• Евстигнеев В.А., Касьянов В.Н. Словарь по графам в информатике. — Новосибирск: Сибирское Научное Издательство, 2009.