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Minimum 2-edge connected spanning subgraph of certain graphs. (English) Zbl 1326.05075

Summary: Given an undirected 2-edge connected graph, finding a minimum 2-edge connected spanning subgraph is NP-hard. We solve the problem for Butterfly network, Benes network, Honeycomb network and Sierpiński gasket graph.

MSC:

05C40 Connectivity
05C60 Isomorphism problems in graph theory (reconstruction conjecture, etc.) and homomorphisms (subgraph embedding, etc.)
05C35 Extremal problems in graph theory