# E cient Parallel Algorithms for Two Graph Layout Problems

@inproceedings{He1991ECP, title={E cient Parallel Algorithms for Two Graph Layout Problems}, author={Xin He}, year={1991} }

- Published 1991

We present e cient parallel algorithms for solving two graph layout problems: Find a F ary Embedding on a grid and construct a rectangular dual for planar graphs. The algorithm for the rst problem takes O(logn log n) time with O(n) processors on a PRAM. The algorithm for the second problem takes O(log 2 n) time with O(n) processors.

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#### References

##### Publications referenced by this paper.

SHOWING 1-10 OF 14 REFERENCES

## On Finding the Rectangular Duals of Planar Triangular Graphs

VIEW 4 EXCERPTS

HIGHLY INFLUENTIAL

## On Computing Straight-line Embeddings of Planar Graphs

VIEW 10 EXCERPTS

HIGHLY INFLUENTIAL

## Parallel Symmetry-Breaking in Sparse Graphs

VIEW 5 EXCERPTS

HIGHLY INFLUENTIAL

## A Simple Parallel Tree Contraction Algorithm

VIEW 8 EXCERPTS

HIGHLY INFLUENTIAL

## Embedding Planar Graphs on the Grid

VIEW 7 EXCERPTS

HIGHLY INFLUENTIAL

## Planar graphs and poset dimension

VIEW 6 EXCERPTS

HIGHLY INFLUENTIAL

## A linear algorithm to find a rectangular dual of a planar triangulated graph

VIEW 4 EXCERPTS

HIGHLY INFLUENTIAL

## E cient Parallel and Sequential Algorithms for 4-Coloring Perfect Planar Graphs

VIEW 1 EXCERPT

## An optimal parallel algorithm for graph planarity

VIEW 1 EXCERPT

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