Geodesic
On a model of plane switching circuits
Diskretnaya Matematika, Tome 7 (1995) no. 4, pp. 40-50
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We introduce a model of plane contact scheme which takes into account the possibility to carry out controlling actions at the contacts of circuits. For the Shannon function $L(n)$ which characterizes the minimal area needed to realize an arbitrary Boolean function in $n$ variables by these schemes we obtain estimates of the form $$ {2^{n} \over \log _{2}36} \mathbin{\scriptstyle\lesssim} L(n) \mathbin{\scriptstyle\lesssim} 2^{n}. $$ 
@article{DM_1995_7_4_a2,
     author = {O. A. Zadorozhnyuk and A. N. Rybko},
     title = {On a model of plane switching circuits},
     journal = {Diskretnaya Matematika},
     pages = {40--50},
     year = {1995},
     volume = {7},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DM_1995_7_4_a2/}
}
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O. A. Zadorozhnyuk; A. N. Rybko. On a model of plane switching circuits. Diskretnaya Matematika, Tome 7 (1995) no. 4, pp. 40-50. http://geodesic.mathdoc.fr/item/DM_1995_7_4_a2/