用最小均匀宽度的接触电路实现布尔函数

IF 0.3 Q4 MATHEMATICS, APPLIED

Discrete Mathematics and Applications Pub Date : 2022-12-01 DOI:10.1515/dma-2022-0035

K. A. Popkov

引用次数: 0

摘要

摘要对于每个布尔函数，我们找到实现该函数的接触电路的均匀宽度的最小可能值。我们还证明，对于几乎所有的n位布尔函数，这个值等于3。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On implementation of Boolean functions by contact circuits of minimal uniform width

Abstract For each Boolean function, we find a minimal possible value of the uniform width of a contact circuit implementing this function. We also show that, for almost all n-place Boolean functions, this value is equal to 3.

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来源期刊

Discrete Mathematics and Applications MATHEMATICS, APPLIED-

CiteScore

0.60

自引率

20.00%

发文量

期刊介绍： The aim of this journal is to provide the latest information on the development of discrete mathematics in the former USSR to a world-wide readership. The journal will contain papers from the Russian-language journal Diskretnaya Matematika, the only journal of the Russian Academy of Sciences devoted to this field of mathematics. Discrete Mathematics and Applications will cover various subjects in the fields such as combinatorial analysis, graph theory, functional systems theory, cryptology, coding, probabilistic problems of discrete mathematics, algorithms and their complexity, combinatorial and computational problems of number theory and of algebra.