A Note on IC-Planar Graphs
نویسندگان
چکیده
A graph is IC-planar if it admits a drawing in the plane with at most one crossing per edge and such that two pairs of crossing edges share no common end vertex. IC-planarity specializes both NIC-planarity, which allows a pair of crossing edges to share at most one vertex, and 1-planarity, where each edge may be crossed at most once. We show that there are infinitely maximal IC-planar graphs with n vertices and 3n − 5 edges and thereby prove a tight lower bound on the density of this class of graphs.
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عنوان ژورنال:
- CoRR
دوره abs/1707.08652 شماره
صفحات -
تاریخ انتشار 2017