Oct 29, 2025 · Given an undirected graph (the graph may contain one or more components) represented by an adjacency list adj [] [], return all the connected components in any order.

A graph that is itself connected has exactly one component, consisting of the whole graph. Components are sometimes called connected components. The number of components in a …

A graph is connected if and only if it has exactly one connected component. The strong components are the maximal strongly connected subgraphs of a directed graph.

Proof: Let G = (V, E) be an arbitrary graph and let v ∈ V be any node in G. The connected components of G are just the equivalence classes of the connectivity relation in G. The …

A connected component of an undirected graph is a maximal set of nodes such that each pair of nodes is connected by a path. What I mean by this is: a connected component of an …

Jul 23, 2025 · Connected component in an undirected graph refers to a group of vertices that are connected to each other through edges, but not connected to other vertices outside the group.

Proof: Let G = (V, E) be an arbitrary graph and let v ∈ V be any node in G. The connected components of G are just the equivalence classes of the connectivity relation in G. The …

Explore the concept of connected components in graph theory. Learn definitions, algorithms like DFS and Union-Find, real-world applications, and Python examples.