graph metric造句

A group " G " is "'relatively hyperbolic "'with respect to a subgroup " H " if, after contracting the Cayley graph of " G " along " H "-cosets, the resulting graph equipped with the usual graph metric becomes a ?-hyperbolic space and, moreover, it satisfies a technical condition which implies that quasi-geodesics with common endpoints travel through approximately the same collection of cosets and enter and exit these cosets in approximately the same place.
It's difficult to find graph metric in a sentence. 用graph metric造句挺难的