On total covering and matching of graphs
β Scribed by A Meir
- Publisher
- Elsevier Science
- Year
- 1978
- Tongue
- English
- Weight
- 219 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0095-8956
No coin nor oath required. For personal study only.
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## Abstract In graph theory, the related problems of deciding when a set of vertices or a set of edges constitutes a maximum matching or a minimum covering have been extensively studied. In this paper we generalize these ideas by defining total matchings and total coverings, and show that these set
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