Title
Circular embeddability of isometric words
Abstract
Let f be a binary word and n≥1. Then the generalized Lucas cube Qn(f↽) is the graph obtained from the n-cube Qn by removing all vertices that have a circulation containing f as a factor. Ilić, Klavžar and Rho solved the question for which f and n, Qn(f↽) is an isometric subgraph of Qn for all binary words of length at most five. This question is further studied in this paper. For an isometric word f, sufficient and necessary conditions of Qn(f↽) being an isometric subgraph of Qn are found, and two problems on generalized Lucas cubes are also listed.
Year
DOI
Venue
2020
10.1016/j.disc.2020.112024
Discrete Mathematics
Keywords
DocType
Volume
Generalized Lucas cube,Generalized Fibonacci cube,Isometric word
Journal
343
Issue
ISSN
Citations 
10
0012-365X
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Jianxin Wei1122.65
Yujun Yang2244.05
Guangfu Wang312.05