New extremal edge bounds are proved for K3-free (3n-8), K4-free (floor(7n/2)-7), and K5-free (4n-8) 1-planar graphs, with tightness for large n.
Diestel,Graph theory, 6th ed., Graduate Texts in Mathematics, vol
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Extremal 1-planar graphs without k-cliques
New extremal edge bounds are proved for K3-free (3n-8), K4-free (floor(7n/2)-7), and K5-free (4n-8) 1-planar graphs, with tightness for large n.