L-visibility drawings of IC-planar graphs

L-visibility drawings of IC-planar graphs

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Article ID: iaor201530630
Volume: 116
Issue: 3
Start Page Number: 217
End Page Number: 222
Publication Date: Mar 2016
Journal: Information Processing Letters
Authors: ,
Keywords: graphs, heuristics
Abstract:

An IC-plane graph is a topological graph where every edge is crossed at most once and no two crossed edges share a vertex. We show that every IC-plane graph has a visibility drawing where every vertex is of the form {,,,}, and every edge is either a horizontal or vertical segment. As a byproduct of our drawing technique, we prove that every IC-plane graph has a RAC drawing in quadratic area with at most two bends per edge.

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