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Table 3 The partition family DDPF(n,m) for n=m2±l(m), where l(m)=0,1,…,4

From: About complexity of complex networks

m n=m2 n=m2±1 n=m2±2 n=m2±3 n=m2±4
  Total Global Total Global Total Global Total Global Total Global
  nodes overlap nodes overlap nodes overlap nodes overlap nodes overlap
2 0 7 0 9 0 9 0
3 7 2.57 19 2.63 13 2.46 12 2.0
4 19 3.57 51 3.56 39 3.23 27 3.18
5 51 4.90 141 4.77 111 4.43 81 4.22 50 4.0
6 141 6.53 393 6.38 321 5.96 241 5.65 182 5.45
7 393 8.72 1107 8.52 924 8.04 714 7.6 546 7.38
8 1107 11.62 3138 11.39 2674 10.79 2114 10.21 1646 9.92
  1. As in Table 1 the parameters MDenV(m) and MDenCl are calculated for graphs without head node. Number of nodes for the graphs G(DDPF(n,m)) and Global overlapping does not coincidence with graphs for progenitor DDPF(m2). Total cliques numbers are the almost the same (2m instead of 2m−2) and the topological characteristics such as clustering coefficients, global efficiency,characteristic path length and graph density (exception is the nodes degrees distribution) for networks of Table 3 are practically indistinguishable from accordance characteristics in Table 1.