“…Let e = xy and M − e be a monster. By [1], M is K 1,3 -free but M − e is not since M + e is a monster as well by Lovász's Perfect Graph Theorem [13], and the SPGC is true for K 1,3 -free graphs by [17]. Let us now consider a K 1,3 = {w, x, z; y} in M − e, i.e., a K 1,3 with center y in M + e. The nodes w, y, z and x, y, z, resp., induce P 3 's in M + e, which are contained in the holes C w and C x , resp.…”