Pneumatic vehicle tyre having a tread with at least one profile rib (1, 2) which is delimited on at least one side by a circumferential groove (3, 4) and is provided with transverse grooves (5, 6) which merge into the circumferential groove (3, 4), run at an angle (α, β) of 0° to 55° to the axial direction and each have a width (b QR), determined at the periphery of the tread, of 2.75 mm to 12.00 mm and a maximum depth (t QR) of 70% to 100% of the profile depth (T UR), wherein the transverse grooves (5, 6) divide the profile rib (1, 2) into block-like profile elements (7, 8) with edge regions (9a, 9b) at the transverse grooves (5, 6), wherein at at least one edge region in each case there is formed a groove-shaped recess which is elongated in plan view and has a radially outer delimiting edge, lying at the periphery of the tread, and a radially inner delimiting edge, lying at the transverse groove (5, 6), wherein the width (b QR) of the transverse groove (5, 6) relates to a reference edge (11b*) which is projected into the periphery of the tread and results from radial projection of the radially inner delimiting edge of the recess, characterized in that in the recess there is formed an elevation which is adjacent to the transverse groove, runs over the length of the recess and has the radially inner delimiting edge, wherein the recess is provided on the side of the elevation that is facing away from the transverse groove with an indentation, which runs along the elevation and is delimited by a base which in cross section takes the form of an arc and runs through the lowest point of the recess and is continuously adjoined by a side face of the recess that extends from the radially outer delimiting edge and runs at least partly in the form of an arc. width (b QR), determined at the periphery of the tread, of 2.75 mm to 12.00 mm and a maximum depth (t QR) of 70% to 100% of the profile depth (T UR), wherein the transverse grooves (5, 6) divide the profile rib (1, 2) into block-like profile elements (7, 8) with edge regions (9a, 9b) at the transverse grooves (5, 6), wherein at at least one edge region in each case there is formed a groove-shaped recess which is elongated in plan view and has a radially outer delimiting edge, lying at the periphery of the tread, and a radially inner delimiting edge, lying at the transverse groove (5, 6), wherein the width (b QR) of the transverse groove (5, 6) relates to a reference edge (11b*) which is projected into the periphery of the tread and results from radial projection of the radially inner delimiting edge of the recess, characterized in that in the recess there is formed an elevation which is adjacent to the transverse groove, runs over the length of the recess and has the radially inner delimiting edge, wherein the recess is provided on the side of the elevation that is facing away from the transverse groove with an indentation, which runs along the elevation and is delimited by a base which in cross section takes the form of an arc and runs through the lowest point of the recess and is continuously adjoined by a side face of the recess that extends from the radially outer delimiting edge and runs at least partly in the form of an arc.