Geodesic
Some structural properties of quadratic Boolean threshold functions
Prikladnaya Diskretnaya Matematika. Supplement, no. 8 (2015), pp. 48-51

Voir la notice de l'article provenant de la source Math-Net.Ru

With the help of a binary partial order relation on the set of quadratic forms with Boolean variables, some classes of simultaneously decomposed (or not having any decompositions) quadratic Boolean threshold functions are described. Simple representatives of these classes are pointed out. In some cases, we can prove whether a variable is essential or not for a quadratic Boolean threshold functions.
Keywords: quadratic Boolean threshold function, essential variable.
Mots-clés : decomposition 
@article{PDMA_2015_8_a17,
     author = {A. N. Shurupov},
     title = {Some structural properties of quadratic {Boolean} threshold functions},
     journal = {Prikladnaya Diskretnaya Matematika. Supplement},
     pages = {48--51},
     publisher = {mathdoc},
     number = {8},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PDMA_2015_8_a17/}
}
TY  - JOUR
AU  - A. N. Shurupov
TI  - Some structural properties of quadratic Boolean threshold functions
JO  - Prikladnaya Diskretnaya Matematika. Supplement
PY  - 2015
SP  - 48
EP  - 51
IS  - 8
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/PDMA_2015_8_a17/
LA  - ru
ID  - PDMA_2015_8_a17
ER  - 
%0 Journal Article
%A A. N. Shurupov
%T Some structural properties of quadratic Boolean threshold functions
%J Prikladnaya Diskretnaya Matematika. Supplement
%D 2015
%P 48-51
%N 8
%I mathdoc
%U http://geodesic.mathdoc.fr/item/PDMA_2015_8_a17/
%G ru
%F PDMA_2015_8_a17
A. N. Shurupov. Some structural properties of quadratic Boolean threshold functions. Prikladnaya Diskretnaya Matematika. Supplement, no. 8 (2015), pp. 48-51. http://geodesic.mathdoc.fr/item/PDMA_2015_8_a17/