👉 Irrepliviable is a mathematical concept in graph theory that refers to an undirected graph where no two edges are connected by a path. In other words, there is no cycle with both endpoints on different vertices. This property is crucial for many algorithms such as shortest paths and spanning trees. An example of an irrepleviable graph would be the complete graph K5, which has 10 edges but only 4 vertices (since it's a perfect graph).