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- g = Graph[{1 -> 2, 2 -> 3, 3 -> 1, 2 -> 4}, VertexShapeFunction -> "Name"]
- VertexDegree[g]
- (* {2, 3, 2, 1} *)
- VertexDelete[g, _?(VertexDegree[g, #] < 2 &)]
- Subgraph[g, KCoreComponents[g, 2], VertexShapeFunction -> "Name"]
- VertexDelete[g, Pick[VertexList[g], VertexDegree[g], d_ /; d < 2]]
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