# Regular edge labelings and drawings of planar graphs

Conference paper

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## Abstract

The problems of nicely drawing planar graphs have received increasing attention due to their broad applications [5]. A technique, *regular edge labeling*, was successfully used in solving several planar graph drawing problems, including *visibility representation, straight-line embedding*, and *rectangular dual* problems. A regular edge labeling of a plane graph *G* labels the edges of *G* so that the edge labels around any vertex show certain regular pattern. The drawing of *G* is obtained by using the combinatorial structures resulting from the edge labeling. In this paper, we survey these drawing algorithms and discuss some open problems.

## Keywords

Planar Graph Longe Path Dual Graph Linear Time Algorithm Interior Vertex
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