Ranking and unranking algorithms for loopless generation of t-ary trees

被引：10

作者：

Ahmadi-Adl, Amin ^{[1
]}

Nowzari-Dalini, Abbas ^{[1
]}

Ahrabian, Hayedeh ^{[1
]}

机构：

[1] Univ Tehran, Ctr Excellence Bioinformat, Sch Math Stat & Comp Sci, Tehran, Iran

来源：

LOGIC JOURNAL OF THE IGPL | 2011年 / 19卷 / 01期

关键词：

Generation algorithm; Gray-code; ranking and unranking algorithms; PARALLEL GENERATION; BINARY-TREES; GRAY CODES;

D O I：

10.1093/jigpal/jzp097

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we present two new ranking and unranking algorithms for z-sequences in Gray-code order. These algorithms are designed based on a loopless generation algorithm which is given for z-sequences corresponding to t-ary trees by Roelants van Baronaigien and Xiang et al. Up to our knowledge no other ranking and unranking algorithms are given for Gray-codes corresponding to t-ary trees. The time complexity of both algorithms for t-ary trees with n nodes is O(n(2)t).

引用

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页码：33 / 43

页数：11

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