In an undirected graph G, two vertices u and v are called connected if G contains a path from u to v. Otherwise, they are called disconnected. If the two vertices are additionally connected by a path of …

Dec 3, 2025 · A connected graph is graph that is connected in the sense of a topological space, i.e., there is a path from any point to any other point in the graph. A graph that is not connected is said to …

Aug 23, 2019 · A graph is connected if any two vertices of the graph are connected by a path. A graph is disconnected if at least two vertices of the graph are not connected by a path. If a graph G is …

What is a connected graph? A connected graph is a graph where a path of distinct edges exists for each pair of vertices that connects them.

The following graph ( Assume that there is a edge from to .) is a connected graph. Because any two points that you select there is path from one to another. later on we will find an easy way using …

We have seen examples of connected graphs and graphs that are not connected. While "not connected'' is pretty much a dead end, there is much to be said about "how connected'' a connected graph is. …

In a connected graph, every vertex can be reached from any other vertex through some sequence of edges. If a graph has 'n' vertices, it must have at least 'n-1' edges to be connected, although the …

May 27, 2025 · A connected graph is a graph in which there is a path between every pair of vertices. In other words, a graph is connected if it is possible to reach any vertex from any other vertex by …

Connectivity defines the fundamental structure of a graph. A graph is connected if every pair of vertices has a path between them; otherwise, it is disconnected. In undirected graphs, connectivity means …

A connected graph is one in which there is a path connecting any two points in the graph, or one that is connected in the sense of a topological space. A disconnected graph is one in which no connections …