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
โฆ LIBER โฆ
Hadwiger's conjecture (k = 6) : Neighbour configurations of 6-vertices in contraction- critical graphs
โ Scribed by Jean Mayer
- Publisher
- Elsevier Science
- Year
- 1989
- Tongue
- English
- Weight
- 938 KB
- Volume
- 74
- Category
- Article
- ISSN
- 0012-365X
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An edge of a 6-connected graph is said to be 6-contractible if the contraction of the edge results in a 6-connected graph. A contraction critically 6-connected graph is a 6-connected graph with no 6-contractible edge. We prove that each contraction critically 6-connected graph G has at least 1 7 |V