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Two Reflected Gray Code based orders on some restricted growth sequences

2013/06/23 by Ahmad Sabri, Sabri, Ahmad, Vincent Vajnovszki +1
Mathematics · #Combinatorics (math.CO) #FOS: Mathematics #math.CO

paper · pdf · doi:10.48550/arxiv.1306.5464

arxiv created 2013/06/23 · arxiv updated 2013/06/25

Abstract

We consider two order relations: that induced by the m-ary reflected Gray code and a suffix partitioned variation of it. We show that both of them when applied to some sets of restricted growth sequences still yield Gray codes. These sets of sequences are: subexcedant or ascent sequences, restricted growth functions, and staircase words. In each case we give efficient exhaustive generating algorithms and compare the obtained results.

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