Suppose that an n-vertex graph has a distinct labeling with the integers {1, . . . ,n}. Such a graph is radial level planar if it admits a crossings-free drawing under two constraints. First, each vertex lies on a concentric circle such that the radius of the circle equals the label of the vertex. Second, each edge is drawn with a radially monotone curve. We characterize the set of unlabeled radial level planar (URLP) graphs that are radial level planar in terms of 7 and 15 forbidden subdivisions depending on whether the graph is disconnected or connected, respectively. We also provide linear-time drawing algorithms for any URLP graph. © 2010 Springer-Verlag.
CITATION STYLE
Fowler, J. J. (2010). Characterization of unlabeled radial level planar graphs: (Extended Abstract). In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 5849 LNCS, pp. 81–93). https://doi.org/10.1007/978-3-642-11805-0_10
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