Paper Abstract and Keywords |
Presentation |
2009-04-17 13:30
Energy Complexity and Depth of Threshold Circuits Kei Uchizawa, Takao Nishizeki (Tohoku Univ.) COMP2009-4 |
Abstract |
(in Japanese) |
(See Japanese page) |
(in English) |
Suppose that a Boolean function $f$
can be computed by a threshold circuit $C$ of energy complexity $e$.
Thus, at most $e$ threshold gates in $C$ output ``1'' for
any input to $C$. We then prove that the function $f$ can be computed also by
a threshold circuit $C'$ of depth $2e+1$. If the size of $C$ is $s$, that is,
there are $s$ threshold gates in $C$, then the size of $C'$ is $2es+1$. |
Keyword |
(in Japanese) |
(See Japanese page) |
(in English) |
Threshold circuit / Energy complexity / Size / Depth / Circuit complexity / Boolean function / / |
Reference Info. |
IEICE Tech. Rep., vol. 109, no. 9, COMP2009-4, pp. 21-28, April 2009. |
Paper # |
COMP2009-4 |
Date of Issue |
2009-04-10 (COMP) |
ISSN |
Print edition: ISSN 0913-5685 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) |
Download PDF |
COMP2009-4 |
Conference Information |
Committee |
COMP |
Conference Date |
2009-04-17 - 2009-04-17 |
Place (in Japanese) |
(See Japanese page) |
Place (in English) |
Kyoto Univ. |
Topics (in Japanese) |
(See Japanese page) |
Topics (in English) |
|
Paper Information |
Registration To |
COMP |
Conference Code |
2009-04-COMP |
Language |
English (Japanese title is available) |
Title (in Japanese) |
(See Japanese page) |
Sub Title (in Japanese) |
(See Japanese page) |
Title (in English) |
Energy Complexity and Depth of Threshold Circuits |
Sub Title (in English) |
|
Keyword(1) |
Threshold circuit |
Keyword(2) |
Energy complexity |
Keyword(3) |
Size |
Keyword(4) |
Depth |
Keyword(5) |
Circuit complexity |
Keyword(6) |
Boolean function |
Keyword(7) |
|
Keyword(8) |
|
1st Author's Name |
Kei Uchizawa |
1st Author's Affiliation |
Tohoku University (Tohoku Univ.) |
2nd Author's Name |
Takao Nishizeki |
2nd Author's Affiliation |
Tohoku University (Tohoku Univ.) |
3rd Author's Name |
|
3rd Author's Affiliation |
() |
4th Author's Name |
|
4th Author's Affiliation |
() |
5th Author's Name |
|
5th Author's Affiliation |
() |
6th Author's Name |
|
6th Author's Affiliation |
() |
7th Author's Name |
|
7th Author's Affiliation |
() |
8th Author's Name |
|
8th Author's Affiliation |
() |
9th Author's Name |
|
9th Author's Affiliation |
() |
10th Author's Name |
|
10th Author's Affiliation |
() |
11th Author's Name |
|
11th Author's Affiliation |
() |
12th Author's Name |
|
12th Author's Affiliation |
() |
13th Author's Name |
|
13th Author's Affiliation |
() |
14th Author's Name |
|
14th Author's Affiliation |
() |
15th Author's Name |
|
15th Author's Affiliation |
() |
16th Author's Name |
|
16th Author's Affiliation |
() |
17th Author's Name |
|
17th Author's Affiliation |
() |
18th Author's Name |
|
18th Author's Affiliation |
() |
19th Author's Name |
|
19th Author's Affiliation |
() |
20th Author's Name |
|
20th Author's Affiliation |
() |
Speaker |
Author-1 |
Date Time |
2009-04-17 13:30:00 |
Presentation Time |
35 minutes |
Registration for |
COMP |
Paper # |
COMP2009-4 |
Volume (vol) |
vol.109 |
Number (no) |
no.9 |
Page |
pp.21-28 |
#Pages |
8 |
Date of Issue |
2009-04-10 (COMP) |
|