a labeling machine on either side of line 11 is another broken line 12 the space or zone between the line 11 and each of the lines 12 is indicated by reference numeral 13 assuming that a continuous roll of fed labeling operation is employed the line 11 marks the trailing end of one label and the leading end of the next label in accordance with the present invention a pattern of a multiplicity of perforations 14 is formed in the web in the areas 13 on either side of each line 11 the perforations 14 are closely spaced and each is very small being about the dimensions of a pin hole the pattern may be a geometric pattern with the perforations in columns uniformly spaced apart and with the columns themselves spaced uniformly apart however this is not necessary the pattern may be a random pattern provided there are many perforations each small in diameter and sufficient in number that a solvent will have access to the adhesive layer or layers between the overlapped ends of the label if such type of labeling is employed and to the adhesive adhering the end or ends of the label directly to the container the perforations 14 may be formed in any one of several ways for example as shown in fig1 they may be burned into the web material by a laser beam as shown in fig1 a mask 20 provided with a pattern of perforations 21 is interposed between a laser beam 22 and the web 10 the mask screens out all of.