Generating rooted triangulations without repetitions

Generating rooted triangulations without repetitions
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生成不重复的有根三角剖分

DOI:
10.1007/bf01944353
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发表时间:
1996
期刊:
影响因子:
1.1
通讯作者:
D. Avis
D. Avis
中科院分区:
计算机科学4区
文献类型:
--
作者:
D. Avis

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我们使用反向搜索技术来提供算法,以生成所有图形,即在外部面上用2和3连接的平面三角剖分。三角剖分是植根的,这意味着外表面具有固定的标签。每三角剖分没有重复的INO(N2)时间产生三角剖分。算法USEO(N)空间。 FTP可用来生成基于此算法的所有3个连接的根三角剖分的程序。
We use the reverse search technique to give algorithms for generating all graphs onn points that are 2- and 3-connected planar triangulations withr points on the outer face. The triangulations are rooted, which means the outer face has a fixed labelling. The triangulations are produced without duplications inO(n2) time per triangulation. The algorithms useO(n) space. A program for generating all 3-connected rooted triangulations based on this algorithm is available by ftp.