A Pascal-like bound for the number of necklaces with fixed density
نویسندگان
چکیده
منابع مشابه
A 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 ...
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A 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.
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ژورنال
عنوان ژورنال: Theoretical Computer Science
سال: 2019
ISSN: 0304-3975
DOI: 10.1016/j.tcs.2019.01.030