大会名称
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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