understood such that only one of out $\sim 1000$ defects contributes to the paramagnetism in contradictory to other experiments as well as ab-initio investigations [@yazyev10; @mlfn04; @cs06; @ztkv07; @py12; @cwtd15] that each defect contributes one Borh magneton $\mu_B$ to the total magnetization. Note that the vacancy magnetism in graphene was recently shown [@ntsl13] to be originated from two approximately equal contributions: one from the dangling bonds and other from itinerant magnetism.

High resolution transmission electron microscope (HRTEM) monitoring of a graphene sheet at $80 keV$ operating energy has displayed [@wrgg09] a formation of a hole, which seems to support the above described experiment [@nstl12] on vacancy magnetism. Indeed, as we will show, agglomeration of the vacancies in a big hole results in not a linear increase of the magnetic moment with vacancy concentration. Theoretical investigations of time-evolution of a graphene with dense vacancies by means of non-equilibrium molecular dynamics [@zzly15] reveal also a tendency toward a formation of the haeckelites in the case with small number of the vacancies, while forming a large hole as the number of vacancies increases.

A systematic scanning transmission electron microscopy (STEM) study of a suspended graphene layer [@zbrn12; @rzbb12], deliberately introduced vacancies and deposited 