大会名称 |
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2022年 情報科学技術フォーラム(FIT) |
大会コ-ド |
F |
開催年 |
2022 |
発行日 |
2022-08-30 |
セッション番号 |
1a |
セッション名 |
アルゴリズム [選奨セッション] |
講演日 |
2022/09/13 |
講演場所(会議室等) |
12棟-101教室 |
講演番号 |
CA-001 |
タイトル |
Convex Grid Drawings of Internally Triconnected Plane Graphs with Pentagonal Contours |
著者名 |
三浦一之, |
キーワード |
アルゴリズム, グラフ理論, 格子凸描画 |
抄録 |
In a convex grid drawing of a plane graph, all edges are drawn as straight-line segments without any edge-intersection, all vertices are put on grid points and all facial cycles are drawn as convex polygons. A plane graph G has a convex drawing if and only if G is internally triconnected, and an internally triconnected plane graph G has a convex grid drawing on a 20n x 16n grid if T(G) has exactly five leaves. In this paper, we show that an internally triconnected plane graph G has a convex grid drawing on a 10n x 5n grid if T(G) has exactly five leaves. We also present an algorithm to find such a drawing in linear time. |
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