On the size of planarly connected crossing graphs

نویسندگان

  • Eyal Ackerman
  • Balázs Keszegh
  • Máté Vizer
چکیده

A pair of independent and crossing edges in a drawing of a graph is planarly connected if there is a crossing-free edge that connects endpoints of the crossed edges. A graph is a planarly connected crossing (PCC) graph, if it admits a drawing in which every pair of independent and crossing edges is planarly connected. We prove that a PCC graph with n vertices has O(n) edges.

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عنوان ژورنال:
  • J. Graph Algorithms Appl.

دوره 22  شماره 

صفحات  -

تاریخ انتشار 2016