Furniture, Wood and Cabinetry Finishing - Base cabinet supports for granite counter top

In my kitchen, from left to right I'll have the base cabinets then dishwasher, then fluted molding for refrigerator. Where the dishwasher meets the fluted molding do I need support for the granite counter top? If not, the granite will overhang the dishwasher and but up against the fluted molding.

If I do need to support the counter top, do I add support to the back wall and the right end? What kind of support do I use? A 2x4? 1x? If I need to support the right end do I use filler stock to cover the support?

If I need to use filler stock what is the best way to rip it to ensure I get a straight cut? I have a table saw with a rip fence.

Your best informatioin for all these questions should come from the supplier of the counter top.

Granite is very susceptible to breakage if not properly supported.