Each airline website should have its own link (well, at least for Delta) that provides info of what airlines they will consider eligible to be a part of their RTW (either paid tickets or awards). For Delta RTW, Alaska Airline is the only one airline out of SkyTeam Alliance that is a part of RTW tickets.

Here are the award classes for Delta and its partners.

Airlines Economy Business First
AeroMexico U C —
Air France X O A
Air Jamaica U D E
Alaska Airlines W — A
Alitalia U Z —
Avianca Z A —
China Airlines S O E
China Southern Z I —
Continental G — E
Czech Airlines E Z —
El Al R X —
Emirates X D Z
KLM W D Z
Korean Air U D A
Malaysia T I R
Northwest W D A
Singapore X I O
South African U D P
Virgin Atlantic T G —

And from what I know these booking classes (for all SkyTeam airlines + Alaska Airlines) apply to both regular award seats and RTW award seats.