A conjecture of Loebl, also known as the (n/2 − n/2 − n/2) Conjecture, states that if G is an n-vertex graph in which at least n/2 of the vertices have degree at least n/2, then G contains all trees with at most n/2 edges as subgraphs. Applying the Regularity Lemma, Ajtai, Komlós and Szemerédi proved an approximate version of this conjecture. We prove it exactly for sufficiently large n. This i...

Novel 1-, 5-, and 8-substituted analogues of sumanirole (1), a dopamine D2/D3 receptor (D2R/D3R) agonist, were synthesized. Binding affinities at both D2R and D3R were higher when determined in competition with the agonist radioligand [(3)H]7-hydroxy-N,N-dipropyl-2-aminotetralin (7-OH-DPAT) than with the antagonist radioligand [(3)H]N-methylspiperone. Although 1 was confirmed as a D2R-preferent...

In the title compound, C(16)H(22)Cl(4)N(2)O(2)S, the two imide groups adopt a trans arrangement relative to the central thienyl ring, so the four terminal 2-chloro-ethyl arms adopt different orientations. In the crystal, mol-ecules are linked by weak C-H⋯Cl and C-H⋯O hydrogen bonds into a three-dimensional network.

The title new diquinaldine derivative, C27H24N4, forms molecular assemblies organized by intermolecular quinoline pi-pi stacking [3.356 (3) and 3.440 (3) A] and both inter- and intramolecular N-H...N hydrogen bonds [3.039 (3)-3.104 (3) A and 129 (2)-172 (2) degrees]. The combination of such interactions provides readily definable contacts that propagate along each crystallographic axis.