Abstract: The problem of finding connected components in a graph is common to several applications dealing with graph analytics, such as social network analysis, web graph mining and image processing.

A connected component in an undirected graph is a subset of the graph where any two vertices are connected either directly or indirectly, and no additional vertices outside this subset are connected ...

A connected component or simply component of an undirected graph is a subgraph in which each pair of nodes is connected with each other via a path. The Breadth First Search (BFS) algorithm is used to ...

Let G = (V(G), E(G)) be a graph. A set S ⊆ E(G) is an edge k-cut in G if the graph G − S = (V(G), E(G) \ S) has at least k connected components. The generalized k-edge connectivity of a graph G, ...

Connected component labeling (CCL) is a fundamental operation within image processing and computer vision, serving as the backbone for tasks such as object recognition, segmentation, and analysis. At ...