An important problem in geometric compression is to find succinct representations (encoding schemes) for the conectivity of polygonal meshes. In this note, we show that the encoding scheme discussed in [1] for quadrilateral mesh connectivity can be improved from 3.5 bits per vertex to less than 3 bits per vertex. We also show that an easy equivalence between the labelling schemes of King et al [2] and of Kronrod-Gotsman [1], improves this further to 2.67 bits per vertex. The same upper bound has also been reported in [2], making an involved use of the CLRES labelling scheme.