Energy and fan-in of threshold circuits computing mod functions

Akira Suzuki, Kei Uchizawa, Xiao Zhou

研究成果: Conference contribution

3 被引用数 (Scopus)

抄録

In this paper, we consider a threshold circuit C computing the modulus function MODm , and investigate a relationship between two complexity measures, fan-in l and energy e of C, where the fan-in l is defined to be the maximum number of inputs of every gate in C, and the energy e to be the maximum number of gates outputting "1" over all inputs to C. We first prove that MODm of n variables can be computed by a threshold circuit of fan-in l and energy e = O (n/l), and then provide an almost tight lower bound e = Ω((n - m)/l). Our results imply that there exists a tradeoff between the fan-in and energy of threshold circuits computing the modulus function.

本文言語English
ホスト出版物のタイトルTheory and Applications of Models of Computation - 8th Annual Conference, TAMC 2011, Proceedings
ページ154-163
ページ数10
DOI
出版ステータスPublished - 2011
イベント8th Annual Conference on Theory and Applications of Models of Computation, TAMC 2011 - Tokyo, Japan
継続期間: 2011 5 232011 5 25

出版物シリーズ

名前Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
6648 LNCS
ISSN(印刷版)0302-9743
ISSN(電子版)1611-3349

Other

Other8th Annual Conference on Theory and Applications of Models of Computation, TAMC 2011
国/地域Japan
CityTokyo
Period11/5/2311/5/25

ASJC Scopus subject areas

  • 理論的コンピュータサイエンス
  • コンピュータ サイエンス(全般)

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