For qutrit GHZ and symmetric W states, the way entanglement splits after measuring one particle is determined by repeated-index versus all-different-index structure, not by the GHZ-versus-W label.
Horodecki,Entanglement measures, Quant
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Knot your average qutrit: Measurement-induced entanglement splitting and the cabling dictionary for GHZ and W States
For qutrit GHZ and symmetric W states, the way entanglement splits after measuring one particle is determined by repeated-index versus all-different-index structure, not by the GHZ-versus-W label.