A Gray code for fixed-density necklaces and Lyndon words in constant amortized time
نویسندگان
چکیده
منابع مشابه
A Gray code for fixed-density necklaces and Lyndon words in constant amortized time
This paper develops a constant amortized time algorithm to produce a cyclic cool-lex Gray code for fixed-density binary necklaces, Lyndon words, and pseudo-necklaces. It is the first Gray code for these objects that achieves this time bound. The algorithm is applied: (i) to develop a constant amortized time cyclic Gray code for necklaces, Lyndon words, and pseudo-necklaces ordered by density an...
متن کاملA CAT Gray code for fixed-density necklaces and Lyndon words
This paper develops a constant amortized time algorithm to produce the cyclic cool-lex Gray code for fixed-density binary necklaces, Lyndon words, and pseudo-necklaces. It is the first Gray code for these objects that achieves this time bound. In addition to Gray code order, the algorithms can be easily modified to output the strings in co-lex order.
متن کاملFixed-Density Necklaces and Lyndon Words in Cool-lex Order
This paper creates a simple Gray code for fixed-density binary necklaces and Lyndon words. The Gray code is simultaneously a left-shift Gray code and a 2-transposition Gray code and is cyclic with these properties. It also has the advantage of using canonical representations (lexicographically minimum rotations) yielding the first known Gray code for Lyndon words ordered by density. This work s...
متن کاملA Gray Code for Necklaces of Fixed Density
A necklace is an equivalence class of binary strings under rotation In this paper we present a Gray code listing of all n bit necklaces with d ones so that i each necklace is listed exactly once by a representative from its equivalence class and ii successive representatives including the last and the rst in the list di er only by the transposition of two bits The total time required is O nN n ...
متن کاملGray codes for necklaces and Lyndon words of arbitrary base
Recently, a Gray code for unrestricted binary necklaces and their relatives was discovered by Vajnovszki [Discrete Mathematics & Theoretical Computer Science, to appear]. The Gray code is constructed by modifying the classical FKM algorithm for generating necklaces in lexicographic order. We present a generalisation of Vajnovszki’s algorithm, giving a Gray code for necklaces and their relatives...
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ژورنال
عنوان ژورنال: Theoretical Computer Science
سال: 2013
ISSN: 0304-3975
DOI: 10.1016/j.tcs.2012.01.013