The crossing numbers of Kn,n−nK2K_{n,n}-nK_2, Kn×P2K_{n}\times P_2, Kn×P3K_{n}\times P_3 and Kn×C4K_n\times C_4

The crossing number of a graph $G$ is the minimum number of pairwise intersections of edges among all drawings of $G$. In this paper, we study the crossing number of $K_{n,n}-nK_2$, $K_n\times P_2$, $K_n\times P_3$ and $K_n\times C_4$.Comment: 14 pages, 33 figure

The crossing numbers of Km×PnK_m\times P_n and Km×CnK_m\times C_n

The {\it crossing number} of a graph $G$ is the minimum number of pairwise intersections of edges in a drawing of $G$. In this paper, we study the crossing numbers of $K_{m}\times P_n$ and $K_{m}\times C_n$.Comment: 16 pages, 30 figure