Phil Mickelson, who lost by two shots to Toms in New Orleans, held on to second place followed by Ernie Els, who took third at the Compaq Classic.
Lee Westwood claimed the fourth spot this week followed by Vijay Singh, who jumped one to fifth. Colin Montgomerie fell one to No. 6.
David Duval, Davis Love III, Darren Clarke and Hal Sutton all stayed in the same positions from last week as they round out the top-10.
Jim Furyk and Mike Weir switched places from last week as Furyk went up one to No. 11 while the Canadian lefthander dropped to No. 12.
Jesper Parnevik will be on hand this week to defend his title at the Byron Nelson Classic. Last year, he outlasted Mickelson and Love in a playoff. This week he stayed 13th in the world followed by Tom Lehman and Thomas Bjorn.
Sergio Garcia hopped up a spot to number-16 while Nick Price slipped to 17th in the world.
Toms came in 18th followed by Michael Campbell and Mark Calcavecchia, who each fell one spot to make room for Toms. Ireland's Padraig Harrington left the top-20 this week and came in 21st.
Jose Maria Olazabal captured the French Open over the weekend and rose six places to 45th. The two-time Masters champion will defend his title on the European Tour this week at the Benson and Hedges International Open.
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