
Highly connected graphs
A highly connected graph is a network where many nodes (points) are linked together with numerous connections (edges). This high level of interconnectedness means that information, resources, or influence can quickly travel between nodes, making the network resilient and efficient. Such graphs often have multiple alternative paths, reducing the risk of disconnection if some links fail. They are common in social networks, communication systems, and transportation grids, where strong connectivity ensures robustness, fast communication, and effective collaboration across the entire network.