podgrafový

Podgrafový is a term used in graph theory to describe a specific type of subgraph. A subgraph is a graph formed by a subset of the vertices and a subset of the edges of a larger graph, such that the included edges connect only vertices within the subset. A podgrafový, specifically, is a subgraph that is induced by a subset of vertices. This means that if you choose a subset of vertices from a larger graph, the podgrafový consists of all those chosen vertices and *all* the edges from the original graph that connect pairs of vertices within that chosen subset. In essence, the podgrafový contains no additional edges beyond those already present in the original graph between the selected vertices. The concept of an induced subgraph is fundamental for analyzing the structure and properties of graphs, as it allows researchers to examine specific parts of a graph in isolation while preserving the relationships between the selected elements.