connected graph

A **connected graph** is a fundamental concept in graph theory where every pair of vertices in the graph is linked by a path. In other words, there are no isolated vertices or disconnected subgraphs; you can travel from any node to any other node following the edges. Connected graphs are essential in network analysis, computer science, and various applications like social networks, communications, and transportation systems. This tag covers topics related to the properties, algorithms, and applications of connected graphs.