Abstract
We study the discrete transformations that are associated with the auto-Bäcklund of the (continuous) PV equation. We show that several two-parameter discrete Painlevé equations can be obtained as contiguity relations of PV. Among them we find the asymmetric d-PII equation which is a well-known form of discrete PIII. The relation between the ternary PI (previously obtained through the discrete dressing approach) and PV is also established. A new discrete Painlevé equation is also derived.