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On Graphs of Dualities of Bipartite Posets

Year 2015, Volume: 5 Issue: 1, 29 - 30, 23.06.2015
https://doi.org/10.17678/beujst.68121

Abstract

In this paper we introduce some new graphs obtained from
bipartite posets. We show that lower-minimal graph of a bipartite poset
is isomorphic to upper-maximal graph of dual of the poset by using set
representations of the posets.


References

  • Chartrand, G. Isomorphic Graphs, Introductory Graph Theory. New York: Dover,
  • ; pp. 32-40.
  • Gratzer, G. Lattice theory: Foundation, Springer Science and Business Media;
  • , pp. 5-6.
  • Simovici, Dan A.; Djeraba C. Partially Ordered Sets. Mathematical Tools for Data
  • Mining: Set Theory, Partial Orders, Combinatorics. Springer, 2008; pp. 129-172.
  • Skiena, S. Computational Discrete Mathematics: Combinatorics and Graph Theory with Mathematica ,Cambridge University Press, 2003, pp. 306-316.
  • Steiner, G.; Stewart, L. K. A linear time algorithm to find the jump number of
  • -dimensional bipartite partial orders, Order, 1987, 3(4), 359-367.
  • Civan, Y., Upper maximal graphs of posets, Order, Vol 30:2, 2013, 677-688.
Year 2015, Volume: 5 Issue: 1, 29 - 30, 23.06.2015
https://doi.org/10.17678/beujst.68121

Abstract

References

  • Chartrand, G. Isomorphic Graphs, Introductory Graph Theory. New York: Dover,
  • ; pp. 32-40.
  • Gratzer, G. Lattice theory: Foundation, Springer Science and Business Media;
  • , pp. 5-6.
  • Simovici, Dan A.; Djeraba C. Partially Ordered Sets. Mathematical Tools for Data
  • Mining: Set Theory, Partial Orders, Combinatorics. Springer, 2008; pp. 129-172.
  • Skiena, S. Computational Discrete Mathematics: Combinatorics and Graph Theory with Mathematica ,Cambridge University Press, 2003, pp. 306-316.
  • Steiner, G.; Stewart, L. K. A linear time algorithm to find the jump number of
  • -dimensional bipartite partial orders, Order, 1987, 3(4), 359-367.
  • Civan, Y., Upper maximal graphs of posets, Order, Vol 30:2, 2013, 677-688.
There are 10 citations in total.

Details

Primary Language English
Journal Section Articles
Authors

Selçuk Topal

Publication Date June 23, 2015
Submission Date February 24, 2015
Published in Issue Year 2015 Volume: 5 Issue: 1

Cite

IEEE S. Topal, “On Graphs of Dualities of Bipartite Posets”, Bitlis Eren University Journal of Science and Technology, vol. 5, no. 1, pp. 29–30, 2015, doi: 10.17678/beujst.68121.