How do I translate the definition of the mathematical term "Latinity" into Chinese?

Question

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.

("Latinity" 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 "for which" doesn't seem to naturally translate into Chinese.

Question: How do I translate the definition of "Latinity" into Chinese?

Answer 1

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。