Paper Abstract and Keywords |
Presentation |
2019-12-13 17:50
Depth Two Majority Circuits for Majority Yasuhiro Ojima, Takuya Yokokawa, Kazuyuki Amano (Gunma Univ.) COMP2019-44 |
Abstract |
(in Japanese) |
(See Japanese page) |
(in English) |
Let $MAJ_n$ denote the Boolean majority function of $n$ input variables.
In this paper, we study the construction of depth two circuits computing $MAJ_n$ where each gate in a circuit computes $MAJ_m$ for $m<n$.
We prove an $n^2/4$ lower bound on the sum of bottom fan-ins when $n=2p$ for a prime $p$.
We also show an upper bound on the sum of bottom Fan-ins for any $n$ for which there is a non-trivial depth two majority circuit for the majority function. |
Keyword |
(in Japanese) |
(See Japanese page) |
(in English) |
majority function / majority circuit / / / / / / |
Reference Info. |
IEICE Tech. Rep., vol. 119, no. 340, COMP2019-44, pp. 109-115, Dec. 2019. |
Paper # |
COMP2019-44 |
Date of Issue |
2019-12-06 (COMP) |
ISSN |
Online edition: ISSN 2432-6380 |
Copyright and reproduction |
All rights are reserved and no part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the publisher. Notwithstanding, instructors are permitted to photocopy isolated articles for noncommercial classroom use without fee. (License No.: 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034) |
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COMP2019-44 |
Conference Information |
Committee |
COMP |
Conference Date |
2019-12-13 - 2019-12-13 |
Place (in Japanese) |
(See Japanese page) |
Place (in English) |
Ikaho Seminar House, Gunma University |
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(See Japanese page) |
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Paper Information |
Registration To |
COMP |
Conference Code |
2019-12-COMP |
Language |
Japanese |
Title (in Japanese) |
(See Japanese page) |
Sub Title (in Japanese) |
(See Japanese page) |
Title (in English) |
Depth Two Majority Circuits for Majority |
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majority function |
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majority circuit |
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1st Author's Name |
Yasuhiro Ojima |
1st Author's Affiliation |
Gunma University (Gunma Univ.) |
2nd Author's Name |
Takuya Yokokawa |
2nd Author's Affiliation |
Gunma University (Gunma Univ.) |
3rd Author's Name |
Kazuyuki Amano |
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Gunma University (Gunma Univ.) |
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Speaker |
Author-1 |
Date Time |
2019-12-13 17:50:00 |
Presentation Time |
20 minutes |
Registration for |
COMP |
Paper # |
COMP2019-44 |
Volume (vol) |
vol.119 |
Number (no) |
no.340 |
Page |
pp.109-115 |
#Pages |
7 |
Date of Issue |
2019-12-06 (COMP) |
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