The crossing numbers of certain Cartesian products

Marián Klešč

Discussiones Mathematicae Graph Theory (1995)

  • Volume: 15, Issue: 1, page 5-10
  • ISSN: 2083-5892

Abstract

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In this article we determine the crossing numbers of the Cartesian products of given three graphs on five vertices with paths.

How to cite

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Marián Klešč. "The crossing numbers of certain Cartesian products." Discussiones Mathematicae Graph Theory 15.1 (1995): 5-10. <http://eudml.org/doc/270388>.

@article{MariánKlešč1995,
abstract = {In this article we determine the crossing numbers of the Cartesian products of given three graphs on five vertices with paths.},
author = {Marián Klešč},
journal = {Discussiones Mathematicae Graph Theory},
keywords = {graph; drawing; crossing number; path; Cartesian product; crossing numbers; Cartesian products},
language = {eng},
number = {1},
pages = {5-10},
title = {The crossing numbers of certain Cartesian products},
url = {http://eudml.org/doc/270388},
volume = {15},
year = {1995},
}

TY - JOUR
AU - Marián Klešč
TI - The crossing numbers of certain Cartesian products
JO - Discussiones Mathematicae Graph Theory
PY - 1995
VL - 15
IS - 1
SP - 5
EP - 10
AB - In this article we determine the crossing numbers of the Cartesian products of given three graphs on five vertices with paths.
LA - eng
KW - graph; drawing; crossing number; path; Cartesian product; crossing numbers; Cartesian products
UR - http://eudml.org/doc/270388
ER -

References

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  1. [1] L. W. Beineke, R. D. Ringeisen, On the crossing numbers of producs of cycles and graphs of order four, J. Graph Theory 4 (1980) 145-155, doi: 10.1002/jgt.3190040203. Zbl0403.05037
  2. [2] S. Jendrol', M. Ščerbovâ, On the crossing numbers of Sₘ × Pₙ and Sₘ × Cₙ, Casopis pro pestováni matematiky 107 (1982) 225-230. Zbl0509.05035
  3. [3] M. Klešč, On the crossing numbers of Cartesian products of stars and paths or cycles, Mathematica Slovaca 41 (1991) 113-120. Zbl0755.05067
  4. [4] M. Klešč, The crossing numbers of products of paths and stars with 4-vertex graphs, J. Graph Theory 18 (1994) 605-614. Zbl0808.05038

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