This is much discussed in the archives but since you asked about a specific study, you might want to read the much newer study (2008) published by the USDA at 
http://www.reeis.usda.gov/web/crisprojectpages/211868.html


From the conclusion section of that paper:
"The work supported by the grant has now shown conclusively that providing honey bee colonies with frames of small-cell (4.9 mm) combs does not depress the reproduction of Varroa mites relative to giving colonies frames of standard-cell (5.4 mm) combs. These results match those of parallel investigations on this topic that were conducted independently in Georgia and Florida. It seems clear, therefore, that despite much interest by and discussion among beekeepers in using small-cell combs to control the [mites] without chemical, this approach is ineffective."

Mike Rossander

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