Parallel Graph Drawing Algorithm for Bipartite Planar Graphs

Naman Jain

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arXiv · 2409.15400

Parallel Graph Drawing Algorithm for Bipartite Planar Graphs

Naman Jain

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Abstract

We give a parallel $O(\log(n))$-time algorithm on a CRCW PRAM to assign vertical and horizontal segments to the vertices of any planar bipartite graph $G$ in the following manner: i) Two segments cannot share an interior point ii) Two segments intersect if and only if the corresponding vertices are adjacent, which uses a polynomial number of processors. In other words, represent vertices of a planar bipartite graph as parallel segments, and edges as intersection points between these segments. Note that two segments are not allowed to cross. Our method is based on a parallel algorithm for st-numbering which uses an ear decomposition search.

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BibTeX RIS

Naman Jain. 2024-09-23. Parallel Graph Drawing Algorithm for Bipartite Planar Graphs. https://arxiv.org/abs/2409.15400

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