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Minimal 2-matching-covered graphs

✍ Scribed by Shan Zhou; Heping Zhang


Book ID
108114119
Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
790 KB
Volume
309
Category
Article
ISSN
0012-365X

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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 different from K 4 and C 6 has an edge whose removal preserves the matching covered property. These are classical an