IEICE TRANSACTIONS on Fundamentals
The Number of Clique Boolean Functions
Summary :
We give an explicit formula for the number of n-variable clique function in terms of the parameters based upon the numbers of intersecting antichains of the lower half of the n-cube. We present the numbers of clique functions with up to seven variables through computer evaluation of the parameters.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E80-A No.8 pp.1502-1507
- Publication Date
- 1997/08/25
- Publicized
- Online ISSN
- DOI
- Type of Manuscript
- Category
- Graphs and Networks
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Grant POGOSYAN, Masahiro MIYAKAWA, Akihiro NOZAKI, Ivo G. ROSENBERG, "The Number of Clique Boolean Functions" in IEICE TRANSACTIONS on Fundamentals,
vol. E80-A, no. 8, pp. 1502-1507, August 1997, doi: .
Abstract: We give an explicit formula for the number of n-variable clique function in terms of the parameters based upon the numbers of intersecting antichains of the lower half of the n-cube. We present the numbers of clique functions with up to seven variables through computer evaluation of the parameters.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e80-a_8_1502/_p
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@ARTICLE{e80-a_8_1502,
author={Grant POGOSYAN, Masahiro MIYAKAWA, Akihiro NOZAKI, Ivo G. ROSENBERG, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={The Number of Clique Boolean Functions},
year={1997},
volume={E80-A},
number={8},
pages={1502-1507},
abstract={We give an explicit formula for the number of n-variable clique function in terms of the parameters based upon the numbers of intersecting antichains of the lower half of the n-cube. We present the numbers of clique functions with up to seven variables through computer evaluation of the parameters.},
keywords={},
doi={},
ISSN={},
month={August},}
Copy
TY - JOUR
TI - The Number of Clique Boolean Functions
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1502
EP - 1507
AU - Grant POGOSYAN
AU - Masahiro MIYAKAWA
AU - Akihiro NOZAKI
AU - Ivo G. ROSENBERG
PY - 1997
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E80-A
IS - 8
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - August 1997
AB - We give an explicit formula for the number of n-variable clique function in terms of the parameters based upon the numbers of intersecting antichains of the lower half of the n-cube. We present the numbers of clique functions with up to seven variables through computer evaluation of the parameters.
ER -
English
