2013 Fiscal Year Final Research Report
A study of convex grid drawing algorithms of plane graphs with contours of k-gon
| Project/Area Number |
23700008
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Multi-year Fund |
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| Research Field |
Fundamental theory of informatics
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| Research Institution | Fukushima University |
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Principal Investigator |
MIURA Kazuyuki 福島大学, 共生システム理工学類, 准教授 (80333871)
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| Project Period (FY) |
2011 – 2013
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| Keywords | アルゴリズム / 平面グラフ / 格子凸描画 |
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| Research Abstract |
In a convex drawing of a plane graph, all edges are drawn as straight-line segments without any edge-intersection and all facial cycles are drawn as convex polygons. In a convex grid drawing, all vertices are put on grid points.
In this study, we first show that an internally triconnected plane graph G has a convex grid drawing on a 2n x 2n grid if the triconnected component decomposition tree T(G) has exactly four leaves. We also present an algorithm to find such a drawing in linear time. We then show that an internally triconnected plane graph G has a convex grid drawing on a 6n x n2 grid if T(G) has exactly five leaves. We also present an algorithm to find such a drawing in linear time. Furthermore, We show that an internally triconnected plane graph G has a convex grid drawing on a 6n x n2 grid if T(G) has exactly six leaves. We also present an algorithm to find such a drawing in linear time.
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Research Products
(12 results)
