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Improvements on the density of maximal 1‐planar graphs

Improvements on the density of maximal 1‐planar graphs

Abstract A graph is 1‐planar if it can be drawn in the plane such that each edge is crossed at most once. A graph, together with a 1‐planar drawing is called 1‐plane. A graph is maximal 1‐planar (1‐plane), if we cannot add any missing edge so that the resulting graph …