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The color connection of the parton system is an important bridge to connectthe perturbative process and the hadronization one. The special colorconnection of four-heavy-quark system in $e^+e^-$ annihilation, which is thenecessary one for the doubly heavy baryon and tetraquark productions isrevisited. The hadronization effects, investigated with the help of the QuarkCombination Model are compared with the corresponding results employing theLund String Model in our previous work. The global properties related to acertain color connection are not sensitive to various hadronization models.

Studying color connection effects of $e^+e^- \to c\bar{c}c\bar{c} \to \Xi_{cc}+X $ process within Quark Combination Model