A Lower Bound for the Rectilinear Crossing Number

نویسندگان

  • Bernardo M. Ábrego
  • Silvia Fernández-Merchant
چکیده

We give a new lower bound for the rectilinear crossing number cr(n) of the complete geometric graph Kn. We prove that cr(n) ≥ 14 ¥ n 2 ¦ ¥ n−1 2 ¦ ¥ n−2 2 ¦ ¥ n−3 2 ¦ and we extend the proof of the result to pseudolinear drawings of Kn.

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عنوان ژورنال:
  • Graphs and Combinatorics

دوره 21  شماره 

صفحات  -

تاریخ انتشار 2005