@inproceedings{19b100d7cf834dd1abd55bc3acf7c8b4,

title = "Drawing Planar Graphs with Circular Arcs",

abstract = "In this paper we address the problem of drawing planar graphs with circular arcs while maintaining good angular resolution and small drawing area. We present a lower bound on the area of drawings in which edges are drawn using exactly one circular arc. We also give an algorithm for drawing n-vertex planar graphs such that the edges are sequences of two continuous circular arcs. The algorithm runs in O(n) time and embeds the graph on the O(n) × O(n) grid, while maintaining Θ(1=d(v)) angular resolution, where d(v) is the degree of vertex v. Since in this case we use circular arcs of infinite radius, this is also the first algorithm to simultaneously achieve good angular resolution, small area and at most one bend per edge using straight-line segments. Finally, we show how to create drawings in which edges are smooth C1-continuous curves, represented by a sequence of at most three circular arcs.",

author = "Cheng, {C. C.} and Duncan, {C. A.} and Goodrich, {M. T.} and Kobourov, {S. G.}",

note = "Publisher Copyright: {\textcopyright} Springer-Verlag Berlin Heidelberg 1999. Copyright: Copyright 2016 Elsevier B.V., All rights reserved.; 7th International Symposium on Graph Drawing, GD 1999 ; Conference date: 15-09-1999 Through 19-09-1999",

year = "1999",

doi = "10.1007/3-540-46648-7_12",

language = "English (US)",

isbn = "3540669043",

series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",

publisher = "Springer-Verlag",

pages = "117--126",

editor = "Jan Kratochvil",

booktitle = "Graph Drawing - 7th International Symposium, GD 1999, Proceedings",

}