Vertices Belonging to All Critical Sets of a Graph
β Scribed by Levit, Vadim E.; Mandrescu, Eugen
- Book ID
- 118197939
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 2012
- Tongue
- English
- Weight
- 135 KB
- Volume
- 26
- Category
- Article
- ISSN
- 0895-4801
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π SIMILAR VOLUMES
McCuaig and Ota conjectured that every sufficiently large 3-connected graph G contains a connected subgraph H on k vertices such that G&V(H) is 2-connected. We prove the weaker statement that every sufficiently large 3-connected graph G contains a not necessarily connected subgraph H on k vertices s
An edge of a \(k\)-connected graph is said to be \(k\)-contractible if the contraction of the edge results in a \(k\)-connected graph. A \(k\)-connected graph with no \(k\)-contractible edge is said to be a \(k\)-contraction critical graph. We prove that every 6 -contraction critical graph of order