The rotation graph of k-ary trees is Hamiltonian

被引：1
|
作者：
Huemer, Clemens [1 ]
Hurtado, Ferran [2 ]
Pfeifle, Julian [2 ]
机构：
[1] Univ Politecn Cataluna, Dept Matemat Aplicada 4, E-08028 Barcelona, Spain
[2] Univ Politecn Cataluna, Dept Matemat Aplicada 2, E-08028 Barcelona, Spain
来源：
INFORMATION PROCESSING LETTERS | 2008年 / 109卷 / 02期
关键词：
Combinatorial problems; Gray code; k-ary trees; Polygon dissections;
D O I：
10.1016/j.ipl.2008.09.013
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper we show that the graph of k-ary trees, connected by rotations, contains a Hamilton cycle. Our proof is constructive and thus provides a cyclic Gray code for k-ary trees. Furthermore, we identify a basic building block of this graph as the 1-skeleton of the polytopal complex dual to the lower faces of a certain cyclic polytope. (C) 2008 Elsevier B.V. All rights reserved.
引用
收藏
页码：124 / 129
页数：6
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