Title
The rotation graph of k
Abstract
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.
Year
DOI
Venue
2008
10.1016/j.ipl.2008.09.013
Information Processing Letters
Keywords
DocType
Volume
Combinatorial problems,Gray code,k-ary trees,Polygon dissections
Journal
109
Issue
ISSN
Citations 
2
0020-0190
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Clemens Huemer116724.93
Ferran Hurtado274486.37
Julian Pfeifle3316.56