Title
Asymptotic number of isometric generalized Fibonacci cubes
Abstract
For a binary word f, let Q"d(f) be the subgraph of the d-dimensional cube Q"d induced on the set of all words that do not contain f as a factor. Let G"n be the set of words f of length n that are good in the sense that Q"d(f) is isometric in Q"d for all d. It is proved that lim"n"-"~|G"n|/2^n exists. Estimates show that the limit is close to 0.08, that is, about eight percent of all words are good.
Year
DOI
Venue
2012
10.1016/j.ejc.2011.10.001
Eur. J. Comb.
Keywords
Field
DocType
fibonacci cube,length n,asymptotic number,d-dimensional cube,binary word
Discrete mathematics,Fibonacci cube,Combinatorics,Function composition,Isometric exercise,Mathematics,Binary number,Cube
Journal
Volume
Issue
ISSN
33
2
0195-6698
Citations 
PageRank 
References 
12
0.82
15
Authors
2
Name
Order
Citations
PageRank
Sandi Klavar115618.52
S. Shpectorov28215.28