N′-[(E)-2-Hydroxy­benzyl­idene]-5-methyl­isoxazole-4-carbohydrazide monohydrate

In the structure of the title compound, C12H11N3O3·H2O, the dihedral angle formed by the benzene and isoxazole rings is 2.03 (8)°. The mol­ecular conformation is stabilized by an intra­molecular O—H⋯N hydrogen bond. In the crystal structure, mol­ecules are linked into a three-dimesional network by inter­molecular N—H⋯O, O—H⋯N and O—H⋯O hydrogen bonds, and by π–π stacking inter­actions involving adjacent benzene and isoxazole rings [centroid–centroid separation = 3.663 (2) Å]

Optimization of scale-free network for random failures

It has been found that the networks with scale-free distribution are very resilient to random failures. The purpose of this work is to determine the network design guideline which maximize the network robustness to random failures with the average number of links per node of the network is constant. The optimal value of the distribution exponent and the minimum connectivity to different network size are given in this paper. Finally, the optimization strategy how to improve the evolving network robustness is given.Comment: 6 pages, 1 figur