Geodesic
On implementation of Boolean functions by contact circuits of minimal uniform width
Diskretnaya Matematika, Tome 33 (2021) no. 4, pp. 94-109

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For each Boolean function, we find a minimal possible value of the uniform width of a contact circuit implementing this function. We also show that, for almost all $n$-place Boolean functions, this value is equal to $3$.
Keywords: contact circuit, Boolean function, uniform width of a circuit. 
@article{DM_2021_33_4_a8,
     author = {K. A. Popkov},
     title = {On implementation of {Boolean} functions by contact circuits of minimal uniform width},
     journal = {Diskretnaya Matematika},
     pages = {94--109},
     publisher = {mathdoc},
     volume = {33},
     number = {4},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DM_2021_33_4_a8/}
}
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K. A. Popkov. On implementation of Boolean functions by contact circuits of minimal uniform width. Diskretnaya Matematika, Tome 33 (2021) no. 4, pp. 94-109. http://geodesic.mathdoc.fr/item/DM_2021_33_4_a8/