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- W2070845528 abstract "A graph is 1-planar if it can be embedded in the plane so that each edge is crossed by at most one other edge. We prove that each 1-planar graph of minimum degree 5 and girth 4 contains (1) a 5-vertex adjacent to an ≤ 6-vertex, (2) a 4-cycle whose every vertex has degree at most 9, (3) a K1,4 with all vertices having degree at most 11." @default.
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- W2070845528 date "2009-01-01" @default.
- W2070845528 modified "2023-09-23" @default.
- W2070845528 title "On local structure of 1-planar graphs of minimum degree 5 and girth 4" @default.
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- W2070845528 doi "https://doi.org/10.7151/dmgt.1454" @default.
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