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Isomorphism of regular NM-graphs of degree 4

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An analysis of the problem of isomorphism of natural modular graphs is continued. New results are obtained for regular graphs of degree 4. The general approach to the analysis of arbitrary regular NM-graphs is developed, which brings close to solving the isomorphism problem for a given class of numerical graphs.

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References

  1. G. A. Donets, “Analytically preset graphs,” in: Theory of Optimal Solutions [in Russian], Inst. Kibern. im. V. M. Glushkova AN USSR, Kiev (1987), pp. 20–27.

    Google Scholar 

  2. G. A. Donets, “Optimal coding of homogeneous trees in arithmetic graphs,” in: Methods of Solving Extremum Problems and Adjacent Problems [in Russian], Inst. Kibern. im. V. M. Glushkova AN USSR, Kiev (1987), pp. 72–77.

    Google Scholar 

  3. G. P. Donets’ and Yu. I. Nezhentsev, “Arithmetical graphs and their representation,” Dop. AN URSR, Ser. A, No. 11, 5–8 (1990).

  4. G. A. Donets and I. E. Shulinok, “General representation of numerical graphs,” in: Theory of Optimal Solutions [in Russian], Inst. Kibern. im. V. M. Glushkova NAN Ukrainy, Kiev (2004), pp. 11–18.

    Google Scholar 

  5. I. E. Shulinok, “Connectivity of natural modular graphs,” Cybern. Syst. Analysis, 34,No. 5, 673–675 (1998).

    MATH  MathSciNet  Google Scholar 

  6. I. E. Shulinok, “Connectivity and cyclomatic number of natural modular graphs,” in: Theory of Optimal Solutions [in Russian], Inst. Kibern. im. V. M. Glushkova NAN Ukrainy, Kiev (1999), pp. 51–57.

    Google Scholar 

  7. G. O. Shulinok, “Isomorphism of natural modular graphs,” in: Theory of Optimal Solutions [in Ukrainian], Inst. Kibern. im. V. M. Glushkova NAN Ukrainy, Kiev (2004), pp. 69–73.

    Google Scholar 

  8. G. A. Donets and G. A. Shulinok, “Isomorphism of natural arithmetic graphs,” in: Theory of Optimal Solutions [in Russian], Inst. Kibern. im. V. M. Glushkova NAN Ukrainy, Kiev (2003), pp. 47–53.

    Google Scholar 

  9. G. A. Shulinok, “Isomorphism of regular NM-graphs,” in: Theory of Optimal Solutions [in Russian], Inst. Kibern. im. V. M. Glushkova NAN Ukrainy, Kiev (2005), pp. 100–106.

    Google Scholar 

  10. H. Hasse, Number Theory, Springer-Verlag, New York (1980).

    Google Scholar 

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Translated from Kibernetika i Sistemnyi Analiz, No. 1, pp. 95–103, January–February 2006.

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Donets, G.A., Shulinok, G.A. Isomorphism of regular NM-graphs of degree 4. Cybern Syst Anal 42, 83–89 (2006). https://doi.org/10.1007/s10559-006-0040-4

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  • DOI: https://doi.org/10.1007/s10559-006-0040-4

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