Article ID Journal Published Year Pages File Type
4652207 Electronic Notes in Discrete Mathematics 2013 5 Pages PDF
Abstract

We provide a formula for the number of edges of the Hasse diagram of the independent subsets of the hth power of a path ordered by inclusion. For h=1 such a value is the number of edges of a Fibonacci cube. We show that, in general, the number of edges of the diagram is obtained by convolution of a Fibonacci-like sequence with itself.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics