The preparation, single-crystal X-ray crystallography and magnetic properties are reported for two tetranuclear cluster complexes based on [W(V)(CN)(8)](3-) octacyanometallates. Reactions of [W(V)(CN)(8)](3-) with Co(II) ions in the presence of the capping ligand tpm (tpm = tri(1H-pyrazol-1-yl)methane) lead to the formation of complex 1 [(tpm)(2)Co(II)][W(V)(2)(CN)(16)Co(2)(tpm)(2)(H(2)O)(2)].4...

We give an unconditional proof of the André-Oort conjecture for arbitrary products of modular curves. We establish two generalizations. The first includes the Manin-Mumford conjecture for arbitrary products of elliptic curves defined over Q as well as Lang’s conjecture for torsion points in powers of the multiplicative group. The second includes the ManinMumford conjecture for abelian varieties...

In the title complex, [Ni(C(16)H(36)N(4))(H(2)O)(2)][Ni(CN)(4)], the [Ni(teta)(H(2)O)(2)](2+) cations (teta = 5,5,7,12,12,14-hexa-methyl-1,4,8,11-tetra-azacyclo-tetra-deca-ne) and [Ni(CN)(4)](2-) anions are arranged in an alternating fashion through electrostatic and N-H⋯N and O-H⋯N hydrogen-bonding inter-actions, forming a two-dimensional layered structure. Adjacent layers are linked through w...

Isolated copper/zinc superoxide dismutase (Cu/Zn-SOD) or manganese superoxide dismutase (Mn-SOD) together with hydrogen peroxide (H(2)O(2)) caused rapid breakdown of nitric oxide (NO) and production of peroxynitrite (ONOO(-)) indicated by the oxidation of dihydrorhodamine-1,2,3 (DHR) to rhodamine-1,2,3. The breakdown of NO by this reaction was inhibited by cyanide (CN(-)) or by diethyldithiocar...

A global o ensive alliance in a graph G = (V; E) is a subset S of V such that for every vertex v not in S at least half of the vertices in the closed neighborhood of v are in S. The cardinality of a minimum size global o ensive alliance in G is called the global o ensive alliance number of G. We give an upper bound on the global (strong) o ensive alliance number of a graph in terms of its degre...

The title complex, [Ni(C(12)H(8)N(2))(2)(H(2)O)(2)][Ni(CN)(4)]·C(4)H(8)O·H(2)O, consists of a cationic [Ni(C(12)H(8)N(2))(2)(H(2)O)(2)](2+) unit, an anionic [Ni(CN)(4)](2-) unit, one uncoordinated water and one tetra-hydro-furan mol-ecule. In the cationic unit, the Ni(2+) atom is coordinated by four N atoms and two O atoms from two 1,10-phenanthroline ligands and two water mol-ecules in a disto...

The asymmetric unit of the title complex, [Cu(4)Fe(CN)(6)(C(6)H(18)N(4))(4)][Fe(CN)(5)(NO)](2)·6H(2)O, comprises a complex [{Cu(tren)CN}(4)Fe(CN)(2)](4+) [tren is tris-(2-amino-eth-yl)amine] cation, which exhibits -1 symmetry with the terminal cyanide ligands oriented trans to each other, and two [Fe(CN)(5)(NO)](2-) nitroprussiate counter-anions. In the crystal, N-H⋯N hydrogen-bonding inter-act...

The treatment of Fe(ClO(4))(2)·6H(2)O or Fe(ClO(4))(3)·9H(2)O with a benzimidazolyl-rich ligand, N,N,N',N'-tetrakis[(1-methyl-2-benzimidazolyl)methyl]-1,2-ethanediamine (medtb) in alcohol/MeCN gives a mononuclear ferrous complex, [Fe(II)(medtb)](ClO(4))(2)·½CH(3)CN·½CH(3)OH (1), and four non-heme alkoxide-iron(III) complexes, [Fe(III)(OMe)(medtb)](ClO(4))(2)·H(2)O (2, alcohol = MeOH), [Fe(III)(...

For a graph L and an integer k ≥ 2, Rk(L) denotes the smallest integer N for which for any edge-colouring of the complete graph KN by k colours there exists a colour i for which the corresponding colour class contains L as a subgraph. Bondy and Erdős conjectured that for an odd cycle Cn on n vertices, Rk(Cn) = 2 k−1(n− 1) + 1 for n > 3. They proved the case when k = 2 and also provided an upper...