Both Panasonic SZ10 and Panasonic ZS35 have 16.0 MP resolution sensors but Panasonic SZ10's sensor is 1/2.33' (6.08 x 4.56 mm ) and Panasonic ZS35's sensor is 1/2.3-inch (6.08 x 4.56 mm ).
Since Panasonic ZS35's has a larger sensor area with the same resolution, this means that it also has a larger pixel area hence better light collecting capacity for a given aperture compared to Panasonic SZ10.
Below you can see the SZ10 and ZS35 sensor size comparison.
Panasonic SZ10 and Panasonic ZS35 have the same sensor sizes so they will provide same level of control over the depth of field when used with same focal length and aperture.