Tree-shellability of restricted DNFs

被引：0

作者：

Takenaga, Yasuhiko ^{[1
]}

Katougi, Nao ^{[1
]}

机构：

[1] Univ Electrocommun, Dept Comp Sci, Chofu, Tokyo 1828585, Japan

来源：

IEICE TRANSACTIONS ON INFORMATION AND SYSTEMS | 2008年 / E91D卷 / 04期

关键词：

Boolean function; shellability; prime implicant; binary decision tree;

D O I：

10.1093/ietisy/e91-d.4.996

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

A tree-shellable function is a positive Boolean function which can be represented by a binary decision tree whose number of paths from the root to a leaf labeled 1 equals the number of prime implicants. In this paper, we consider the tree-shellability of DNFs with restrictions. We show that, for read-k DNFs, the number of terms in a tree-shellable function is at most k(2). We also show that, for k-DNFs, recognition of ordered tree-shellable functions is NP-complete for k = 4 and tree-shellable functions can be recognized in polynomial time for constant k.

引用

页码：996 / 1002

页数：7

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