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arXiv · 2001.02867

RAC Drawings in Subcubic Area

Zahed Rahmati·Fatemeh Emami
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Abstract

In this paper, we study tradeoffs between curve complexity and area of Right Angle Crossing drawings (RAC drawings), which is a challenging theoretical problem in graph drawing. Given a graph with $n$ vertices and $m$ edges, we provide a RAC drawing algorithm with curve complexity $6$ and area $O(n^{2.75})$, which takes time $O(n+m)$. Our algorithm improves the previous upper bound $O(n^3)$, by Di Giacomo et al., on the area of RAC drawings.

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Zahed Rahmati, Fatemeh Emami. 2020-01-09. RAC Drawings in Subcubic Area. https://arxiv.org/abs/2001.02867

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