Area-Efficient Drawings of Outer-1-Planar Graphs
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We study area-efficient drawings of planar graphs: embeddings of graphs on an integer grid so that the bounding box of the drawing is minimized. Our focus is on the class of outer-1-planar graphs: the family of planar graphs that can be drawn on the plane with all vertices on the outer-face so that each edge is crossed at most once. We first present two straight-line drawing algorithms that yield small-area straight-line drawings for the subclass of complete outer-1-planar graphs. Further, we give an algorithm that produces an orthogonal drawing of any outer-1-plane graph in O(n log n) area while keeping the number of bends per edge relatively small.
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Pavle Bulatovic (2020). Area-Efficient Drawings of Outer-1-Planar Graphs. UWSpace. http://hdl.handle.net/10012/16400