The bi-edge-connected components are the classes of an equivalence relation on the nodes of an undirected graph. Two nodes are in the same class if they are connected with at least two edge-disjoint paths.
Details
See https://lemon.cs.elte.hu/pub/doc/1.3.1/a00616.html#ga76c1fdd1881d21677507100b7e96c983 for more information.