guan1 xi 关系 means relationship just like yangyang said.
For example:Luis and Anna are teacher-student relationship.(Luis 和 Anna是师生关系）----（Luis he2 Anna shi4 shi1 sheng1 guan1 xi).
I am sorry it is hard for me to explain the grammar for you.
I am also sorry about "jiqi", I don't know what it is, please give the explanation in English, then I can help you!
Hope this helps