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:<math>\forall\{i,j\} \in T: \quad (i \succ_j h \quad \forall h \ne i) \and (j \succ_i h \quad \forall h \ne j), \quad h \in H \cap \{\emptyset\}</math>
 
Note that:
*The definition employs strict preferences. A polyamorous definition might allow weak preferences instead.
*The union with the empty set allows for people who would rather be alone (e.g. Tiny Fey). This is not necessary with weak preferences as then we can allow <math> i \succsim_i i</math> without violating the definition of the preference relation.
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