On balloon drawings of rooted trees

Chun-Cheng Lin, Hsu Chun Yen*

*此作品的通信作者

研究成果: Conference contribution同行評審

5 引文 斯高帕斯(Scopus)

摘要

Among various styles of tree drawing, balloon drawing, where each subtree is enclosed in a circle, enjoys a desirable feature of displaying tree structures in a rather balanced fashion. We first design an efficient algorithm to optimize angular resolution and aspect ratio for the balloon drawing of rooted unordered trees. For the case of ordered trees for which the center of the enclosing circle of a subtree need not coincide with the root of the subtree, flipping the drawing of a subtree (along the axis from the parent to the root of the subtree) might change both the aspect ratio and the angular resolution of the drawing. We show that optimizing the angular resolution as well as the aspect ratio with respect to this type of rooted ordered trees is reducible to the perfect matching problem for bipartite graphs, which is solvable in polynomial time. Aside from studying balloon drawing from an algorithmic viewpoint, we also propose a local magnetic spring model for producing dynamic balloon drawings with applications to the drawings of galaxy systems, H-trees, and sparse graphs, which are of practical interest.

原文English
主出版物標題Graph Drawing - 13th International Symposium, GD 2005, Revised Papers
頁面285-296
頁數12
DOIs
出版狀態Published - 2006
事件13th International Symposium on Graph Drawing, GD 2005 - Limerick, Ireland
持續時間: 12 9月 200514 9月 2005

出版系列

名字Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
3843 LNCS
ISSN(列印)0302-9743
ISSN(電子)1611-3349

Conference

Conference13th International Symposium on Graph Drawing, GD 2005
國家/地區Ireland
城市Limerick
期間12/09/0514/09/05

指紋

深入研究「On balloon drawings of rooted trees」主題。共同形成了獨特的指紋。

引用此