Is there a name for the process of iteratively removing all leaves from a graph?
2026-05-16 23:18:43.1778973523
Name for removing all leaves on a graph to leave only cycles
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This is known as finding the $2$-core of a graph. In general, the $k$-core of a graph is the subgraph obtained by, iteratively, deleting all vertices with degree less than $k$.
Sometimes (as Wikipedia does) we require the $k$-core to be connected, in which case there may be multiple $2$-cores, one for each connected component of the graph.