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Drawing Partial 2-Trees with Few Slopes.
- Source :
-
Algorithmica . May2023, Vol. 85 Issue 5, p1156-1175. 20p. - Publication Year :
- 2023
-
Abstract
- The planar slope number of a planar graph G is the minimum integer k such that G admits a planar drawing with vertices as points and edges as straight-line segments with k distinct slopes. Similarly, a plane slope number is defined for a plane graph, where a fixed combinatorial embedding of the graph is given and the output must respect the given embedding. We prove tight bounds (up to a small multiplicative or additive constant) for the plane and the planar slope numbers of partial 2-trees of bounded degree. We also answer a long standing question by Garg and Tamassia (In: van Leeuwen J (eds) Proceedings of the Second Annual European Symposium on Algorithms (ESA), LNCS, vol 855, pp 12–23, Springer, 1994) on the angular resolution of the planar straight-line drawings of series-parallel graphs of bounded degree. [ABSTRACT FROM AUTHOR]
- Subjects :
- *PLANAR graphs
*INTEGERS
Subjects
Details
- Language :
- English
- ISSN :
- 01784617
- Volume :
- 85
- Issue :
- 5
- Database :
- Academic Search Index
- Journal :
- Algorithmica
- Publication Type :
- Academic Journal
- Accession number :
- 163295428
- Full Text :
- https://doi.org/10.1007/s00453-022-01065-0