
arXiv: 1602.07407
We study the Hamiltonian path problem in C-shaped grid graphs, and present the necessary and sufficient conditions for the existence of a Hamiltonian path between two given vertices in these graphs. We also give a linear-time algorithm for finding a Hamiltonian path between two given vertices of a C-shaped grid graph, if it exists.
28 pages, 31 figures, and 20 references
FOS: Computer and information sciences, Eulerian and Hamiltonian graphs, Computational Complexity (cs.CC), NP-completeness, Computer Science - Computational Complexity, Hamiltonian path, Computational difficulty of problems (lower bounds, completeness, difficulty of approximation, etc.), grid graph, \(L\)-shaped grid graph, Paths and cycles
FOS: Computer and information sciences, Eulerian and Hamiltonian graphs, Computational Complexity (cs.CC), NP-completeness, Computer Science - Computational Complexity, Hamiltonian path, Computational difficulty of problems (lower bounds, completeness, difficulty of approximation, etc.), grid graph, \(L\)-shaped grid graph, Paths and cycles
| selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | 20 | |
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| influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | Top 10% | |
| impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network. | Average |
