Drawing Outer 1-planar Graphs with Few Slopes

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Drawing Outer 1-planar Graphs with Few Slopes

A graph is outer 1-planar if it admits a drawing where each vertex is on the outer face and each edge is crossed by at most another edge. Outer 1-planar graphs are a superclass of the outerplanar graphs and a subclass of the planar partial 3-trees. We show that an outer 1-planar graph G of bounded degree ∆ admits an outer 1-planar straight-line drawing that uses O(∆) different slopes, which gen...

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Drawings of planar graphs with few slopes and segments

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ژورنال

عنوان ژورنال: Journal of Graph Algorithms and Applications

سال: 2015

ISSN: 1526-1719

DOI: 10.7155/jgaa.00376