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Abelson,H.: Lower bounds on information transfer in distributed computations. Proc. 19th Annual IEEE FOCS, IEEE 1978, pp. 151–158.
Aho,A.V. — Ullman,J.D. — Yanakakis,M.: On notions of information transfer in VLSI circuits. Proc. 15th ACM STOC, ACM 1983, pp. 133–139.
Bačík, M.: Closure properties of communication complexity. ŠVOČ 1987, 1, section Theoretical Cybernetics and Mathematical Informatics, Comenius University, Bratislava 1987, 12p. (in Slovak).
Baudet,G.M.: On the area required by VLSI circuits. In: Kung, Sproul, and Steele 1981, pp. 100–107.
Brent, R.P. — Goldschlager, L.M.: Some area time tradeoffs for VLSI. SIAM J. Comput. 11, No.4 (1982), pp. 737–747.
Brent,R.P. — Kung,H.T.: The chip complexity of binary arithmetic. Proc. 12th Annual ACM STOC, ACM 1980, pp. 190–200.
Culik, K.II. — Gruska, J. — Salomaa, A.: Systolic automata for VLSI on balanced trees. Acta Informat. 18 (1983), 335–344.
Culik, K.II. — Gruska, J. — Salomaa, A.: On a family of L languages resulting from systolic tree automata. Theor. Comp. Sci. 23 (1983), 231–242.
Ďuriš,P. — Galil,Z. — Schnitger,G.: Lower bounds on communication complexity. Proc. 15th Annual ACM STOC, ACM 1984, pp. 81–91.
Ďuriš, P. — Sýkora, O. — Vrťo, I. — Thompson, C.D.: Tight chip lower bounds for discrete Fourier and Walsh-Hadamard transformations. Infor. Proces. Let. 21 (1985), 245–247.
Gruska, J.: Systolic automata — power, characterizations, nonhomogenity. Proc. 11th MFCS '84, Lect. Notes in Computer Science 176, Springer-Verlag, Berlin Heidelberg-New York 1984, pp. 32–49.
Gubáš, X. — Waczulík, J.: Closure properties of the family of languages defined ba communication complexity. ŠVOČ 1986, 1, section Theoretical Cybernetics and Mathematical Informatics, Comenius University, Bratislava 1986, 26p. (in Slovak).
Gubáš, X. — Waczulík, J.: Closure properties of the complexity measures A and AT2. ŠVOČ 1987, 1, section VLSI and Computer Graphics. Comenius University, Bratislava 1987, 25p. (in Slovak).
Hromkovič, J.: Communication complexity. Proc. 11th ICALP, Lect. Notes in Computer Science 172, Springer-Verlag, Berlin-Heidelberg-New York 1984, pp. 235–246.
Hromkovič, J.: Relation between Chomsky hierarchy and communication complexity hierarchy. Acta Math. Univ. Com. 47–48 (1986).
Hromkovič, J.: Normed protocol and communication complexity. Computers AI 3, No.5 (1984), 415–422.
Hromkovič, J.: Linear lower bounds on unbounded fan-in Boolean circuits. Infor. Proces. Let. 21 (1985), 71–74.
Hromkovič, J.: A new approach to defining the communication complexity for VLSI. Proc. 12th MFCS '86, Lect. Notes in Computer Science 233, Springer-Verlag, Berlin-Heidelberg-New York 1986, pp. 431–439.
Hromkovič,J. — Ložkin,C.A. — Rybko,A.N. — Sapoženko,A.A. — Škalikova, N.A.: An approach to obtaining lower bounds on space of Boolean circuits. Banach Centre publ., to appear (In Russian).
Hromkovič,J.: Some complexity aspects of VLSI computations, Part 1.: A framework for the study of information transfer in VLSI circuits. Submitted to Computers AI.
Hromkovič,J.: Some complexity aspects of VLSI computations. Part 2.: Topology of circuits and information transfer. Submitted to Computers AI.
Hromkovič,J.: Some complexity aspects of VLSI computations. Part 5.: Nondeterministic and probabilistic VLSI circuits. Submitted to Computer AI.
Hromkovič,J. — Pardubská,A.: Some complexity aspects of VLSI computations. Part 3.: On the power of input bit permutation in tree and trellis automata. Submitted to Computers AI.
Ja 'Ja, J. — Prasanna Kumar, V.K. — Simon, J.: Information transfer under different sets of protocols. SIAM J. Comput. 13, No.4 (1984), 840–849.
Kurcabová, V.: Communication complexity. Master thesis, Dept. of Theor. Cybernetics, Comenius University, Bratislava 1985 (in Slovak).
Leiserson,C.E.: Area efficient graph algorithms (for VLSI). Proc. 21st Annual IEEE FOCS, IEEE 1980, pp. 270–281.
Leiserson, C.E.: Area efficient VLSI computations. MIT Press, Cambridge 1983, Mass.
Lipton,R.J. — Sedgewick,R.: Lower bounds for VLSI. Proc. 13th Annual ACM STOC, ACM 1981, pp. 300–307.
Masek,W.: A fast algorithm for string editing problem and decision graph complexity. M.Sc. thesis, MIT, May 1976.
Papadimitriou, C.H. — Sipser, M.: Communication complexity. J.Comp. Syst. Sci. 28 (1984), 260–269.
Preparata,F.P.: A mesh-connected area-time optimal VLSI integer multiplier. In: Kung, Sproull, and Steele 1981, pp. 311–316.
Preparata, F.P. — Vuilemin, J.E.: Area-time optimal VLSI networks for multiplying matrices. Infor. Proces. Let. 11, No.2 (1980), 77–80.
Preparata, F.P. — Vuilemin, J.E.: Area-time optimal VLSI networks for computing integer multiplication and discrete Fourier transformation. Proc. 8th ICALP '81, Lect. Notes in Computer Science 115, Springer-Verlag, Berlin-Heidelberg-New York 1981, pp. 29–40.
Pudlák,P.: personal communication.
Pudlák,P. — Žák,S.: Space complexity of computations. Unpublished manuscript, 1982.
Salomaa,A.: Systolic tree and trellis automata. Proc. Collq. ACLCS, Gyor 1984.
Savage,J.E.: Planar circuit complexity and the performance of VLSI algorithms. In: Kung, Sproul, and Steele, 1981, pp. 61–67.
Savage,J.E.: Area-time tradeoffs for mutrix multiplication and related problems in VLSI models. J. Comp. Syst. Sci. 20, No.3, pp. 230–242.
Škalikova,N.A.: On the area complexity of Boolean circuits computing some specific functions. Sbornik rabot po matematičeskoj kibernetike I (1976), Comp. Centre of the Academy of Sciences of USSR, pp. 102–115 (in Russian).
Škalikova,N.A.: On the relation between area and space complexity of Boolean circuits. Metody diskretnogo analiza v ocenkach zložnosti upravľajuščich sistem 38, Novosibirsk 1982, pp. 87–107 (in Russian).
Thompson,C.D.: Area-time complexity for VLSI. Proc. 11th Annual ACM STOC, ACM 1979, pp. 81–88.
Thompson, C.D.: A Complexity Theory for VLSI. Doctoral dissertation, CMU-CS-80-140, Computer Sci. Dept., Carnegie — Mellon University, Pittsburg, August 1980, 131p.
Ullman,A.C.: Computational Aspects of VLSI. Computer SCience Press 1984, 495p.
Yao,A.C.: Some complexity questions related to distributed computing. Proc. 11th Annual ACM STOC, ACM 1979, pp. 209–213.
Yao,A.C.: The entropic limitations of VLSI computations. Proc. 13th Annual ACM STOC, ACM 1981, pp. 308–311.
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Hromkovič, J. (1987). Lower bound techniques for VLSI algorithms. In: Kelemenová, A., Kelemen, J. (eds) Trends, Techniques, and Problems in Theoretical Computer Science. IMYCS 1986. Lecture Notes in Computer Science, vol 281. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3540185356_27
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