Matching Covered Graphs and Subdivisions of K 4 and C 6 Matching Covered Graphs and Subdivisions of K 4 and C 6
نویسنده
چکیده
We give a very simple proof that every non-bipartite matching covered graph contains a nice subgraph that is an odd subdivision of K 4 or C 6. It follows immediately that every brick diierent from K 4 and C 6 has an edge whose removal preserves the matching covered property. These are classical and very useful results due to Lovv asz.
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