[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/JKMS.2015.52.6.1123

COLORINGS OF TREES WITH LINEAR, INTERMEDIATE AND EXPONENTIAL SUBBALL COMPLEXITY

LEE, SEUL BEE (DEPARTMENT OF MATHEMATICAL SCIENCES SEOUL NATIONAL UNIVERSITY)
LIM, SEONHEE (DEPARTMENT OF MATHEMATICAL SCIENCES SEOUL NATIONAL UNIVERSITY)

Publication Information

Journal of the Korean Mathematical Society / v.52, no.6, 2015 , pp. 1123-1137 More about this Journal

Abstract

We study colorings of regular trees using subball complexity b(n), which is the number of colored n-balls up to color-preserving isomorphisms. We show that for any k-regular tree, for k > 1, there are colorings of intermediate complexity. We then construct colorings of linear complexity b(n) = 2n + 2. We also construct colorings induced from sequences of linear subword complexity which has exponential subball complexity.

Keywords

trees; colorings of trees; subword complexity; symbolic dynamics; Sturmian sequences; Sturmian colorings;

Citations & Related Records

Times Cited By KSCI : 1 (Citation Analysis)

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