Generalized pascal triangles: overview of new results

Ivan Korec

Banach Center Publications (1993)

  • Volume: 28, Issue: 1, page 125-134
  • ISSN: 0137-6934

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Korec, Ivan. "Generalized pascal triangles: overview of new results." Banach Center Publications 28.1 (1993): 125-134. <http://eudml.org/doc/262836>.

@article{Korec1993,
author = {Korec, Ivan},
journal = {Banach Center Publications},
language = {eng},
number = {1},
pages = {125-134},
title = {Generalized pascal triangles: overview of new results},
url = {http://eudml.org/doc/262836},
volume = {28},
year = {1993},
}

TY - JOUR
AU - Korec, Ivan
TI - Generalized pascal triangles: overview of new results
JO - Banach Center Publications
PY - 1993
VL - 28
IS - 1
SP - 125
EP - 134
LA - eng
UR - http://eudml.org/doc/262836
ER -

References

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  1. [1] B. A. Bondarenko, Generalized Pascal triangles and pyramids, their fractals, graphs and applications, Fan, Tashkent 1990 (in Russian). Zbl0706.05002
  2. [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. [3] A. Černý and J. Gruska, Modular real-time trellis automata, Fund. Inform. 11 (3) (1986), 253-282. Zbl0642.68091
  4. [4] K. Culik II, J. Gruska and A. Salomaa, Systolic trellis automata. Part I, Internat. J. Comput. Math. 15 (1984), 195-212. Zbl0571.68041
  5. [5] K. Culik II, J. Gruska and A. Salomaa, Systolic trellis automata. Part II, ibid. 16 (1985), 3-22. Zbl0571.68042
  6. [6] K. Culik II, L. P. Hurd and S. Yu, Computation theoretic aspects of cellular automata, Physica D 45 (1990), 357-378. Zbl0729.68052
  7. [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. Zbl0563.68050
  8. [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. Zbl0649.68054
  9. [9] J. Gruska, Synthesis, structure and power of systolic computations, Theoret. Comput. Sci. 71 (1988), 47-77. Zbl0699.68080
  10. [10] I. Korec, Generalized Pascal triangles, D.Sc. thesis, UK Bratislava, 1984 (in Slovak). 
  11. [11] I. Korec, Generalized Pascal triangles. Decidability results, Acta Math. Univ. Comenian. 46-47 (1985), 93-130. Zbl0607.05002
  12. [12] I. Korec, Multiples of an integer in the Pascal triangle, ibid., 83-91. 
  13. [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. Zbl0612.68048
  14. [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. Zbl0756.68079
  15. [15] I. Korec, Pascal triangles modulo n and modular trellises, Comput. Artificial Intelligence 3 (1990), 105-113. Zbl0695.68055
  16. [16] I. Korec, Irrational speeds of configuration growths in generalized Pascal triangles, Theoret. Comput. Sci., to appear. Zbl0786.68072
  17. [17] I. Korec, The 3x+1 problem, generalized Pascal triangles and cellular automata, Math. Slovaca 42 (5) (1992), 547-563. Zbl0773.11016
  18. [18] J. C. Lagarias, The 3x+1 problem and its generalizations, Amer. Math. Monthly 92 (1985), 3-23. Zbl0566.10007

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