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- W2808996259 abstract "A drawing of a graph in the plane is 1-planar if each edge is crossed at most once, fan-crossing if each edge can only cross edges with a common endpoint, and fan-crossing free if no edge is crossed by two or more edges with a common endpoint. In an outer drawing all vertices must be placed in the outer face. A graph is (outer-) 1-planar (fan-crossing, fan-crossing free) if it admits a respective drawing. Fan-crossing and fan-crossing free are complementary properties. Hence, a drawing is 1-planar if and only if it is fan-crossing and fan-crossing free. We show that there are graphs that are simultaneously (outer-) fan-crossing and fan-crossing free but not (outer-) 1-planar." @default.
- W2808996259 created "2018-06-29" @default.
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- W2808996259 date "2018-10-01" @default.
- W2808996259 modified "2023-09-23" @default.
- W2808996259 title "On fan-crossing and fan-crossing free graphs" @default.
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- W2808996259 doi "https://doi.org/10.1016/j.ipl.2018.06.006" @default.
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