Counterexample to a conjecture on Hamilton cycles
โ Scribed by P Paulraja
- Publisher
- Elsevier Science
- Year
- 1987
- Tongue
- English
- Weight
- 65 KB
- Volume
- 64
- Category
- Article
- ISSN
- 0012-365X
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โฆ Synopsis
We disprove the following conjecture: Let G be a 2-connected graph with minimum degree n on atmost 3n -2 vertices. Then G is hamiltonian if it has a 2-factor.
๐ SIMILAR VOLUMES
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We give a counterexample to the following conjecture of Douglas D. Grant Cl]: If a positive integer t 3 2 and D is a strict digraph of order 2t such that S+(D) 3 t and S'(D)2 t, then D has an anti-directed hamiltonian cycle. Where S+(D) and 6-(D) denote the minimum indegree and outdegree, respective