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We consider the random Erd{\H o}s--R\'enyi network with enhancedclusterization and Ising spins $s=\pm 1$ at the network nodes. Mutually linkedspins interact with energy $J$. Magnetic properties of the system as dependenton the clustering coefficient $C$ are investigated with the Monte Carlo heatbath algorithm. For $J>0$ the Curie temperature $T_c$ increases from 3.9 to 5.5when $C$ increases from almost zero to 0.18. These results deviate onlyslightly from the mean field theory. For $J<0$ the spin-glass phase appearsbelow $T_{SG}$; this temperature decreases with $C$, on the contrary to themean field calculations. The results are interpreted in terms of socialsystems.Comment: 10 pages, 6 figures; serious change of result

CLUSTERIZATION, FRUSTRATION AND COLLECTIVITY IN RANDOM NETWORKS