## I/O-Optimal Planar Embedding Using Graph Separators (2001)

by
Norbert Zeh

Citations: | 1 - 0 self |

### BibTeX

@TECHREPORT{Zeh01i/o-optimalplanar,

author = {Norbert Zeh},

title = {I/O-Optimal Planar Embedding Using Graph Separators},

institution = {},

year = {2001}

}

### OpenURL

### Abstract

We present a new algorithm to test whether a given graph G is planar and to compute a planar embedding G of G if such an embedding exists. Our algorithm utilizes a fundamentally new approach based on graph separators to obtain such an embedding. The I/O-complexity of our algorithm is O(sort(N)). A simple simulation technique reduces the I/O-complexity of our algorithm to O(perm(N)). We prove a matching lower bound of W(perm(N)) I/Os for computing a planar embedding of a given planar graph.