Embeddings of cubic Halin graphs: Genus distributions

被引：0
|
作者：
Gross, Jonathan L. [1 ]
机构：
[1] Columbia Univ, Dept Comp Sci, New York, NY 10027 USA
来源：
ARS MATHEMATICA CONTEMPORANEA | 2013年 / 6卷 / 01期
关键词：
genus distribution; Halin graph; partitioned genus distribution; gram embedding; outerplanar graph; topological graph theory; REGION DISTRIBUTIONS; ROOT;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We derive an O(n(2))-time algorithm for calculating the genus distribution of a given 3-regular Halin graph G; that is, we calculate the sequence of numbers g(0)(G), g(1)(G), g(2)(G),... on the respective orientable surfaces S-0, S-1, S-2,.... Key topological features are a quadrangular decomposition of plane Halin graphs and a new recombinant-strands reassembly process that fits pieces together three-at-a-vertex. Key algorithmic features are reassembly along a post-order traversal, with just-in-time dynamic assignment of roots for quadrangular pieces encountered along the tour.
引用
收藏
页码：37 / 56
页数：20
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