A linear algorithm for finding Hamiltonian cycles in 4-connected maximal planar graphs (Q788489)
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scientific article; zbMATH DE number 3843136
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A linear algorithm for finding Hamiltonian cycles in 4-connected maximal planar graphs |
scientific article; zbMATH DE number 3843136 |
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A linear algorithm for finding Hamiltonian cycles in 4-connected maximal planar graphs (English)
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1984
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The Hamiltonian cycle problem is a well-known NP-complete problem. Some restrictions of this problem, even for planar graphs, remain NP-complete while other subclasses possess polynomial-time algorithms. The authors consider the class of 4-connected maximal planar graphs. Using a slight modification of Whitney's theorem [\textit{H. Whitney}, Ann. Math., II. Ser. 32, 378-390 (1931; Zbl 0002.16101)] the authors present a linear time algorithm for finding a Hamiltonian cycle in 4-connected maximal planar graphs.
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Hamiltonian cycle
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planar graph
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NP-complete
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linear time algorithm
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