Article ID Journal Published Year Pages File Type
427893 Information Processing Letters 2008 6 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Computer Science Computational Theory and Mathematics