How do I translate the definition of the mathematical term "Latinity" into Chinese? I'm going to try giving another mathematics talk in Chinese.  I'm struggling with this sentence:

Definition: The Latinity lambda(G) of a graph G is the smallest d for which there exists a d-dimensional PLH with PLH graph isomorphic to G.

(&quot;Latinity&quot; is a mathematical term which I coined as part of my research.)
These are my attempts:

定义：图G的拉丁度lambda(G)是存在具有d维PLH图和G同构最小的d。
定义：图G的拉丁度lambda(G)是最小的d，这样存在d维PLH其中和G同构的PLH图。

They seem very clunky.  My main problem is that &quot;for which&quot; doesn't seem to naturally translate into Chinese.
Question: How do I translate the definition of &quot;Latinity&quot; into Chinese?
定义：图G的拉丁度lambda(G) = d，
d是使与G同构的d维PLH图存在的最小值。