Are too many 的s for multiple adjectives a problem?
Considering its mathematical context, I recommend this one: 


  一个PLR(r,s,n;m)是一个具有m个顶点，n着色的Kr□Ks的诱导子图，例如：...


the first remaining 的 cannot be omitted because 具有m个顶点，n着色 modifies the properties of Kr□Ks and the second 的 constructs 是……的诱导子图.

However, our teacher may put it as


  记PLR(r,s,n;m)为一m顶点，n着色Kr□Ks的诱导子图，如：...


(The briefer the better for mathematicians lol)

EDIT:

Sorry I made unforgivable mistakes.
So, there's ambiguity, which is which concept m顶点，n着色 modifies.
However, it is not really ambiguous because Kr□Ks is a graph of r×s nodes and we usually don't care its chromatic number so we can infer that It's the induced subgraph that has m nodes and is n-colorable, but still we should try to put it in a clear way.
Now it should be


  记PLR(r,s,n;m)为Kr□Ks的一m顶点，n着色的诱导子图，如：...


But still 


  一个PLR(r,s,n;m)是一个具有m个顶点，n着色的Kr□Ks的诱导子图，例如：...


is okay but ambiguous grammarly.