Specified holes with pairwise disjoint interiors in planar point sets

Figures & data

Fig. 1(a) n(4, 4) ≥ 9.

Fig. 1(b) m(4, 4) ≥ 7.

Fig. 2 Shaded areas are empty.

Fig. 3 Illustration of Case 2.

Fig. 4 $m(5,5)\ge 14$.

Fig. 5 We consider the convex cone $\gamma (q_2;v_1,p_{2,3}^{\prime })$.

Fig. 6 The final configuration in case 2.

Fig. 7 $m(5,5,5)\ge 17$.