Presentation 2017-05-13
Acute Constrains in Straight-Line Drawings of Planar Graphs
Akane Seto, Aleksandar Shurbevski, Hiroshi Nagamochi,
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Abstract(in Japanese) (See Japanese page)
Abstract(in English) Recent research on graph drawing focuses on Right-Angle-Crossing (RAC) drawings of 1-plane graphs, where each edge is drawn as a straight line and two crossing edges only intersect at right angles. We give a transformation from a restricted case of the RAC drawing problem to a problem of finding a straight-line drawing of a maximal plane graph where some angles are required to be acute. For a restricted version of the latter problem, we show necessary and sufficient conditions for such a drawing to exist, and design an $O(n^2)$-time algorithm that given an $n$-vertex plane graph produces a desired drawing of the graph or reports that none exists.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) graph drawing1-planarityright angle crossing
Paper # COMP2017-5
Date of Issue 2017-05-05 (COMP)

Conference Information
Committee COMP / IPSJ-AL
Conference Date 2017/5/12(2days)
Place (in Japanese) (See Japanese page)
Place (in English)
Topics (in Japanese) (See Japanese page)
Topics (in English)
Chair Hiro Ito(Univ. of Electro-Comm.) / 堀山 貴史(埼玉大)
Vice Chair Yushi Uno(Osaka Pref. Univ.)
Secretary Yushi Uno(Seikei Univ.) / (Kyushu Inst. of Tech.)
Assistant

Paper Information
Registration To Technical Committee on Theoretical Foundations of Computing / Special Interest Group on Algorithms
Language ENG
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Acute Constrains in Straight-Line Drawings of Planar Graphs
Sub Title (in English)
Keyword(1) graph drawing1-planarityright angle crossing
1st Author's Name Akane Seto
1st Author's Affiliation Kyoto University(Kyoto Univ.)
2nd Author's Name Aleksandar Shurbevski
2nd Author's Affiliation Kyoto University(Kyoto Univ.)
3rd Author's Name Hiroshi Nagamochi
3rd Author's Affiliation Kyoto University(Kyoto Univ.)
Date 2017-05-13
Paper # COMP2017-5
Volume (vol) vol.117
Number (no) COMP-28
Page pp.pp.31-38(COMP),
#Pages 8
Date of Issue 2017-05-05 (COMP)