A linear algorithm for finding Hamiltonian cycles in 4-connected maximal planar graphs
β Scribed by Takao Asano; Shunji Kikuchi; Nobuji Saito
- Publisher
- Elsevier Science
- Year
- 1984
- Tongue
- English
- Weight
- 901 KB
- Volume
- 7
- Category
- Article
- ISSN
- 0166-218X
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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__βvertex maximal planar graph containing exactly four Hamiltonian cycles for every __p__ β₯ 12. We also pro
In this paper we give a simple linear-time algorithm to find such a partition if G is a 4-connected planar graph and ~1. ~2. 143 and u4 are located on the same face of a plane embedding of G. Our algorithm is based on a "4canonical decomposition" of G, which is a generalization of an St-numbering an