DL -integral and DQ-integral graphs

For a connected graph G, we denote by D(G) the distance matrix of G and, by T (G), the transmission matrix of G, the diagonal matrix of the row sums of D(G).are called distance Laplacian and distance signless Laplacian of G, respectively.In this work we discuss M -integrality for some special classes of graphs, where M = D L (G) or M = D Q (G).In particular, we consider the complete split graphs, multiple complete split-like graphs, extended complete split-like graphs and multiple extended complete split-like graphs.