Exact algorithms for the Hamiltonian cycle problem in planar graphs
✍ Scribed by Vladimir G. Deı˘neko; Bettina Klinz; Gerhard J. Woeginger
- Publisher
- Elsevier Science
- Year
- 2006
- Tongue
- English
- Weight
- 167 KB
- Volume
- 34
- Category
- Article
- ISSN
- 0167-6377
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## Abstract We consider the problem of the minimum number of Hamiltonian cycles that could be present in a Hamiltonian maximal planar graph on __p__ vertices. In particular, we construct a __p__‐vertex maximal planar graph containing exactly four Hamiltonian cycles for every __p__ ≥ 12. We also pro
A certifying algorithm for a problem is an algorithm that provides a certificate with each answer that it produces. The certificate is an evidence that can be used to authenticate the correctness of the answer. A Hamiltonian cycle in a graph is a simple cycle in which each vertex of the graph appear