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We present a measurement of the ratio of t-tbar production cross section viagluon-gluon fusion to the total t-tbar production cross section in p-pbarcollisions at sqrt{s}=1.96 TeV at the Tevatron. Using a data sample with anintegrated luminosity of 955/pb recorded by the CDF II detector at Fermilab, weselect events based on the t-tbar decay to lepton+jets. Using an artificialneural network technique we discriminate between t-tbar events produced viaq-qbar annihilation and gluon-gluon fusion, and findCf=(gg->ttbar)/(pp->ttbar)<0.33 at the 68% confidence level. This result iscombined with a previous measurement to obtain the most precise measurement ofthis quantity, Cf=0.07+0.15-0.07.

Measurement of the fraction of t-tbar production via gluon-gluon fusion in p-pbar collisions at sqrt(s)=1.96 TeV