Usually disk packing problems require that no two disks of the packing intersect. 


Does anybody know if the problem has been studied when disks may intersect but they are not allowed to contain the center of any other disk?



Disks Packing Variant
Yes. Here is an example: [Rigidity of infinite disk patterns](http://arxiv.org/pdf/math/9901148.pdf) by Zheng-Xu He.


