The Longest (s, t)-Path Problem on O-Shaped Supergrid Graphs
نویسندگان
چکیده
The longest (s,t)-path problem on supergrid graphs is known to be NP-complete. However, the complexity of this with or without holes still unknown.In past, we presented linear-time algorithms for solving L-shaped and C-shaped graphs, which form subclasses holes. In paper, will determine O-shaped a subclass These are rectangular It worth noting that contain as subgraphs, but there no inclusion relationship between them. We propose algorithm solve graphs. (s,t)-paths have applications in calculating minimum trace when printing hollow objects using computer embroidery machines 3D printers.
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ژورنال
عنوان ژورنال: Mathematics
سال: 2023
ISSN: ['2227-7390']
DOI: https://doi.org/10.3390/math11122712