Longest Common Pattern between two Permutations

In this paper, we give a polynomial (O(n^8)) algorithm for finding a longest common pattern between two permutations of size n given that one is separable. We also give an algorithm for general permutations whose complexity depends on the length of the longest simple permutation involved in one of our permutations

Gold(I) and Silver(I) Complexes Containing Hybrid Sulfonamide/Thiourea Ligands as Potential Leishmanicidal Agents

Leishmaniasis is a group of parasitic diseases with the potential to infect more than 1 billion people; however, its treatment is still old and inadequate. In order to contribute to changing this view, this work consisted of the development of complexes derived from MI metal ions with thioureas, aiming to obtain potential leishmanicidal agents. The thiourea ligands (HLR) were obtained by reactions of p-toluenesulfohydrazide with R-isothiocyanates and were used in complexation reactions with AgI and AuI, leading to the formation of complexes of composition [M(HLR)2]X (M = Ag or Au; X = NO3− or Cl−). All compounds were characterized by FTIR, 1H NMR, UV-vis, emission spectroscopy and elemental analysis. Some representatives were additionally studied by ESI-MS and single-crystal XRD. Their properties were further analyzed by DFT calculations. Their cytotoxicity on Vero cells and the extracellular leishmanicidal activity on Leishmania infantum and Leishmania braziliensis cells were evaluated. Additionally, the interaction of the complexes with the Old Yellow enzyme of the L. braziliensis (LbOYE) was examined. The biological tests showed that some compounds present remarkable leishmanicidal activity, even higher than that of the standard drug Glucantime, with different selectivity for the two species of Leishmania. Finally, the interaction studies with LbOYE revealed that this enzyme could be one of their biological targets

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Não disponívelIn this work a geometric interpretation of the obstructions to the eXtension of functions obtained_ from intersection of functions, is given. Let Mm and Nn be smooth closed manifolds land let V ⊂ M and K ⊂ N be closed submanifolds of same codimension. One of our goals is to give a necessary and sufficient condition for the existence of a smooth map f: M → N, transversal to K, such that V = f-1(K). In Chapter I we obtain conditions for the non existence of the map f. In Chapter III we find some results that guarantee the existence of such a map. For example: if Vm-2 ⊃ Mm is an oriented submanifold homologous to zero in an oriented manifold M, then there exists f: M → Sn such that f Φ sn-2 and Vm-2 = f-1 (Sn-2)

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Não disponívelIn this work a geometric interpretation of the obstructions to the eXtension of functions obtained_ from intersection of functions, is given. Let Mm and Nn be smooth closed manifolds land let V ⊂ M and K ⊂ N be closed submanifolds of same codimension. One of our goals is to give a necessary and sufficient condition for the existence of a smooth map f: M → N, transversal to K, such that V = f-1(K). In Chapter I we obtain conditions for the non existence of the map f. In Chapter III we find some results that guarantee the existence of such a map. For example: if Vm-2 ⊃ Mm is an oriented submanifold homologous to zero in an oriented manifold M, then there exists f: M → Sn such that f Φ sn-2 and Vm-2 = f-1 (Sn-2)