2-connected graphs

A 2-connected graph is a network of points (called vertices) connected by lines (called edges), such that removing any single vertex won't disconnect the entire network. In other words, there's more than one independent way to stay connected; if you take out one point, alternative routes still link all parts together. This property ensures the network's robustness, meaning it can withstand the failure of any one node without losing overall connectivity. It’s a useful concept in designing reliable systems like communication networks or transportation routes, where maintaining connections despite individual failures is important.