On the crossing numbers of S m × P n and S m × C n

Stanislav Jendroľ; Mária Ščerbová

Časopis pro pěstování matematiky (1982)

  • Volume: 107, Issue: 3, page 225-230
  • ISSN: 0528-2195

How to cite

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Jendroľ, Stanislav, and Ščerbová, Mária. "On the crossing numbers of $S_m \times P_n$ and $S_m \times C_n$." Časopis pro pěstování matematiky 107.3 (1982): 225-230. <http://eudml.org/doc/21494>.

@article{Jendroľ1982,
author = {Jendroľ, Stanislav, Ščerbová, Mária},
journal = {Časopis pro pěstování matematiky},
keywords = {crossing number for the plane; Cartesian product},
language = {eng},
number = {3},
pages = {225-230},
publisher = {Mathematical Institute of the Czechoslovak Academy of Sciences},
title = {On the crossing numbers of $S_m \times P_n$ and $S_m \times C_n$},
url = {http://eudml.org/doc/21494},
volume = {107},
year = {1982},
}

TY - JOUR
AU - Jendroľ, Stanislav
AU - Ščerbová, Mária
TI - On the crossing numbers of $S_m \times P_n$ and $S_m \times C_n$
JO - Časopis pro pěstování matematiky
PY - 1982
PB - Mathematical Institute of the Czechoslovak Academy of Sciences
VL - 107
IS - 3
SP - 225
EP - 230
LA - eng
KW - crossing number for the plane; Cartesian product
UR - http://eudml.org/doc/21494
ER -

References

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  1. P. Erdös, R. K. Guy, Crossing number problems, Amer. Math. Monthly 80 (1973), 52- 58. (1973) Zbl0264.05109MR0382006
  2. R. K. Guy, Latest results on crossing numbers, in Recent Trends in Graph Theory, Springer-Verlag, New York 1971, 143-156. (1971) Zbl0217.02303MR0277398
  3. R. K. Guy, Crossing numbers of graphs, in Graph Theory and Applications, Springer-Verlag, New York 1972, 111-124. (1972) Zbl0249.05107MR0337673
  4. F. Harary, Graph Theory, Addison-Wesley, Reading Mass., 1969. (1969) Zbl0196.27202MR0256911
  5. D. J. Kleitman, The crossing number of K 5 , n , J. Combinatorial Theory, 9 (1971), 315-323. (1971) MR0280403
  6. M. Koman, On the crossing numbers of graphs, Acta Univ. Carolinae Math., Phys., 10 (1969), 9-46. (1969) Zbl0256.05103MR0288049
  7. R. D. Ringeisen, L. W. Beineke, The Crossing Number of C3 X Cn, J. Combinatorial Theory B, 24 (1978), 134-136. (1978) MR0486137

Citations in EuDML Documents

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  1. Marián Klešč, Jana Petrillová, The Crossing Numbers of Products of Path with Graphs of Order Six
  2. Marián Klešč, The crossing numbers of certain Cartesian products
  3. Marián Klešč, Stefan Schrötter, The crossing numbers of join products of paths with graphs of order four
  4. Marián Klešč, On the crossing numbers of Cartesian products of stars and paths or cycles
  5. Marián Klešč, Štefan Schrötter, On the Crossing Numbers of Cartesian Products of Stars and Graphs of Order Six
  6. Marián Klešč, The crossing numbers of products of a 5-vertex graph with paths and cycles
  7. Marián Klešč, Some crossing numbers of products of cycles
  8. Emília Draženská, Marián Klešč, On the crossing numbers of G □ Cₙ for graphs G on six vertices

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