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- W4362651404 abstract "A graph is called k-planar if it can be drawn on the plane in such a way that each edge intersects at most k others. Probably, for the first time such a generalization appeared in the work of Ringel in 1965 - 1-planar graphs were considered there and it was proved that any such graph has a regular coloring of vertices in 7 colors. Later, k-planar graphs were defined for all natural k, questions about the estimate for the number of edges in such graphs, the estimate for the chromatic number, and various questions about their images on the plane were studied. The report will talk about classical and modern results from this area." @default.
- W4362651404 created "2023-04-07" @default.
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- W4362651404 date "2022-01-01" @default.
- W4362651404 modified "2023-09-25" @default.
- W4362651404 title "On images on plane and colorings of k-planar graphs" @default.
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- W4362651404 doi "https://doi.org/10.20948/dms-2022-5" @default.
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