>On Word Chains
Séminaire lotharingien de combinatoire, Tome 17 (1987)
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Word chains are an extension of addition chains to words. Over a q-letter alphabet, any long enough word admits a word chain of length at most (l+ε)n/logq(n), for a fixed and arbitrary ε>0; moreover, there exist words with no chain shorter than n/logq-1(n). We study word chains for the Thue-Morse M word with a representation by binary trees. A conjecture on the enumeration of shortest word chains computing M is proposed.
@article{SLC_1987_17_a5,
author = {Sre\v{c}ko Brlek},
title = {>On {Word} {Chains}},
journal = {S\'eminaire lotharingien de combinatoire},
year = {1987},
volume = {17},
url = {http://geodesic.mathdoc.fr/item/SLC_1987_17_a5/}
}
Srečko Brlek. >On Word Chains. Séminaire lotharingien de combinatoire, Tome 17 (1987). http://geodesic.mathdoc.fr/item/SLC_1987_17_a5/