Area-Efficient Drawings of Outerplanar Graphs

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Abstract

We show that an outerplanar graph G with n vertices and degree d admits a planar straight-line grid drawing with area O(dn1.48) in O(n) time. This implies that if d = o(n0.52), then G can be drawn in this fashion in o(n2) area. © Springer-Verlag 2004.

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Garg, A., & Rusu, A. (2004). Area-Efficient Drawings of Outerplanar Graphs. Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 2912, 129–134. https://doi.org/10.1007/978-3-540-24595-7_12

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