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Lattices of processes for graphs

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Abstract

The structure of the lattice of processes of a finite digraph with entries is investigated. Necessary and sufficient conditions for the isomorphism of a given lattice to the lattice of processes of a certain digraph are obtained. Bibliography: 5 titles.

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Literature Cited

  1. K. V. Shakhbazyan, T. A. Tushkina, and M. M. Lebedinskii, “Decomposition in pipelines,”Zap. Nauchn. Semin. LOMI,159, 47–55 (1987).

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  2. K. V. Shakhbazyan, “On the algebra of processes in graphs,”Kibernetika,6, 38–42 (1988).

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  3. K. V. Shakhbazyan, “A representation of the lattice of processes in a graph by a pair algebra. An isomorphism theorem,”Kibernetika,4, 114–116 (1990).

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  4. K. V. Shakhbazyan, T. A. Tushkina, and M. M. Lebedinskii, “The lattices of processes in graphs and congruences by an ideal in distributive lattices,” Preprint POMI, P-4-90, St. Petersburg (1990).

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Translated by K. V. Shakhbazyan.

Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 202, 1992, pp. 135–153.

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Shakhbazyan, K.V., Lebedinskaya, N.B. Lattices of processes for graphs. J Math Sci 79, 1115–1125 (1996). https://doi.org/10.1007/BF02366132

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  • DOI: https://doi.org/10.1007/BF02366132

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