ArticleOriginal scientific text

Title

Generalized pascal triangles: overview of new results

Authors 1

Affiliations

  1. Mathematical Institute, Slovak Academy of Sciences, Štefánikova 49, 814, 73 Bratislava, Slovakia

Bibliography

  1. B. A. Bondarenko, Generalized Pascal triangles and pyramids, their fractals, graphs and applications, Fan, Tashkent 1990 (in Russian).
  2. A. Černý and J. Gruska, Modular trellises, in: G. Rozenberg and A. Salomaa (eds.), The Book of L, Springer, Berlin 1985, 45-61.
  3. A. Černý and J. Gruska, Modular real-time trellis automata, Fund. Inform. 11 (3) (1986), 253-282.
  4. K. Culik II, J. Gruska and A. Salomaa, Systolic trellis automata. Part I, Internat. J. Comput. Math. 15 (1984), 195-212.
  5. K. Culik II, J. Gruska and A. Salomaa, Systolic trellis automata. Part II, ibid. 16 (1985), 3-22.
  6. K. Culik II, L. P. Hurd and S. Yu, Computation theoretic aspects of cellular automata, Physica D 45 (1990), 357-378.
  7. J. Gruska, Systolic automata--power, characterizations, nonhomogeneity, in: Proc. Math. Foundations of Computer Science, Praha, Lecture Notes in Comput. Sci. 176 Springer, Berlin 1984, 32-49.
  8. J. Gruska, Systolic architectures, systems and computations, in: T. Lepistö and A. Salomaa (eds.), Automata, Languages and Programming, Proc. ICALP, Tampere, Lecture Notes in Comput. Sci. 317, Springer, Berlin 1988, 254-270.
  9. J. Gruska, Synthesis, structure and power of systolic computations, Theoret. Comput. Sci. 71 (1988), 47-77.
  10. I. Korec, Generalized Pascal triangles, D.Sc. thesis, UK Bratislava, 1984 (in Slovak).
  11. I. Korec, Generalized Pascal triangles. Decidability results, Acta Math. Univ. Comenian. 46-47 (1985), 93-130.
  12. I. Korec, Multiples of an integer in the Pascal triangle, ibid., 83-91.
  13. I. Korec, Generalized Pascal triangles, in: K. Halkowska and S. Stawski (eds.), Proc. V Universal Algebra Symposium, Turawa, Poland, May 1988, World Scientific, Singapore 1989, 198-218.
  14. I. Korec, Semilinear real-time systolic trellis automata, in: J. Csirik, J. Demetrovics and F. Gécseg (eds.), Fundamentals of Computation Theory, Proc. FCT '89, Lecture Notes in Comput. Sci. 380, Springer, Berlin 1989, 267-276.
  15. I. Korec, Pascal triangles modulo n and modular trellises, Comput. Artificial Intelligence 3 (1990), 105-113.
  16. I. Korec, Irrational speeds of configuration growths in generalized Pascal triangles, Theoret. Comput. Sci., to appear.
  17. I. Korec, The 3x+1 problem, generalized Pascal triangles and cellular automata, Math. Slovaca 42 (5) (1992), 547-563.
  18. J. C. Lagarias, The 3x+1 problem and its generalizations, Amer. Math. Monthly 92 (1985), 3-23.
Pages:
125-134
Main language of publication
English
Published
1993
Exact and natural sciences