A More Compact Visibility Representation

Author:

Kant Goos1

Affiliation:

1. Department of Computer Science, Utrecht University, Padualaan 14, 3584 CH Utrecht, The Netherlands

Abstract

In this paper we present a linear time and space algorithm for constructing a visibility representation of a planar graph on an [Formula: see text] grid, thereby improving the previous bound of (2n-5)×(n-1). To this end we build in linear time the 4-block tree of a planar graph, which improves previous time bounds. Moreover, this is the first time that the technique of splitting a graph into its 4-connected components is used successfully in graph drawing

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Computational Mathematics,Computational Theory and Mathematics,Geometry and Topology,Theoretical Computer Science

Cited by 34 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. On chordal and perfect plane near-triangulations;Discrete Applied Mathematics;2021-01

2. A local characterization for perfect plane near-triangulations;Theoretical Computer Science;2020-11

3. Planar L-Drawings of Bimodal Graphs;Lecture Notes in Computer Science;2020

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