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Planar L-Drawings of Bimodal Graphs

Authors :
Angelini, Patrizio
Chaplick, Steven
Cornelsen, Sabine
Da Lozzo, Giordano
Publication Year :
2020

Abstract

In a planar L-drawing of a directed graph (digraph) each edge e is represented as a polyline composed of a vertical segment starting at the tail of e and a horizontal segment ending at the head of e. Distinct edges may overlap, but not cross. Our main focus is on bimodal graphs, i.e., digraphs admitting a planar embedding in which the incoming and outgoing edges around each vertex are contiguous. We show that every plane bimodal graph without 2-cycles admits a planar L-drawing. This includes the class of upward-plane graphs. Finally, outerplanar digraphs admit a planar L-drawing - although they do not always have a bimodal embedding - but not necessarily with an outerplanar embedding.<br />Comment: Appears in the Proceedings of the 28th International Symposium on Graph Drawing and Network Visualization (GD 2020)

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2008.07834
Document Type :
Working Paper