The incidence matrices of various graphs are considered. By reordering the points, the bandwidth can be changed. In the cases of rectangular grids in the plane or cubic grids in three dimensions, the ...

Carpathian Journal of Mathematics, Vol. 39, No. 2 (2023), pp. 371-382 (12 pages) The crossing number cr(G) of a graph G is the minimum number of edge crossings over all drawings of G in the plane. In ...