Some properties of the inertia groups of Boolean bijunctive functions, and an injunctive method for the generation of such functions
Diskretnaya Matematika, Tome 14 (2002) no. 2, pp. 33-47
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The class of bijunctive Boolean functions consists of the functions representable by the
2-CNF\@. The problem of enumeration of such function of arbitrary number of variables
has not been solved. In the paper, we consider properties of inertia groups of
bijunctive functions in several groups and give an inductive method of generating
all distinct representatives of the classes of geometric equivalence of bijunctive
functions. By this method we calculate the numbers of bijunctive functions of 5, 6,
and 7 variables.
@article{DM_2002_14_2_a3,
author = {A. V. Tarasov},
title = {Some properties of the inertia groups of {Boolean} bijunctive functions, and an injunctive method for the generation of such functions},
journal = {Diskretnaya Matematika},
pages = {33--47},
publisher = {mathdoc},
volume = {14},
number = {2},
year = {2002},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/DM_2002_14_2_a3/}
}
TY - JOUR AU - A. V. Tarasov TI - Some properties of the inertia groups of Boolean bijunctive functions, and an injunctive method for the generation of such functions JO - Diskretnaya Matematika PY - 2002 SP - 33 EP - 47 VL - 14 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/DM_2002_14_2_a3/ LA - ru ID - DM_2002_14_2_a3 ER -
%0 Journal Article %A A. V. Tarasov %T Some properties of the inertia groups of Boolean bijunctive functions, and an injunctive method for the generation of such functions %J Diskretnaya Matematika %D 2002 %P 33-47 %V 14 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/DM_2002_14_2_a3/ %G ru %F DM_2002_14_2_a3
A. V. Tarasov. Some properties of the inertia groups of Boolean bijunctive functions, and an injunctive method for the generation of such functions. Diskretnaya Matematika, Tome 14 (2002) no. 2, pp. 33-47. http://geodesic.mathdoc.fr/item/DM_2002_14_2_a3/