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The topological structure resulting from the network of contacts betweengrains (\emph{contact network}) is studied for large samples of monosizedspheres with densities (fraction of volume occupied by the spheres) rangingfrom 0.59 to 0.64. We retrieve the coordinates of each bead in the pack and wecalculate the average coordination number by using three different methods. Weshow that, in the range of density investigated, the coordination number islarger than 4 and it increases with the packing fraction. At local level wealso observe a positive correlation between local packing fraction and numberof neighbors. We discover a dependence between the local densities ofconfigurations with few neighbors in contact and the global sample-denities.This might indicate that local configurations with small number of neighborsare able to deform plastically when the sample is compactifying.  PACS: 45.70.-n, Granular Systems; 45.70.Cc, Static sandpiles; GranularCompaction.

Local and Global relations between the number of contacts and density in monodisperse sphere packs