An Algorithm for Odd Graceful Labeling of the Union of Paths and Cycles

In 1991, Gnanajothi [4] proved that the path graph P_n with n vertex and n-1 edge is odd graceful, and the cycle graph C_m with m vertex and m edges is odd graceful if and only if m even, she proved the cycle graph is not graceful if m odd. In this paper, firstly, we studied the graph C_m $\cup$ P_m when m = 4, 6,8,10 and then we proved that the graph C_ $\cup$ P_n is odd graceful if m is even. Finally, we described an algorithm to label the vertices and the edges of the vertex set V(C_m $\cup$ P_n) and the edge set E(C_m $\cup$ P_n).Comment: 9 Pages, JGraph-Hoc Journa

Beyond the global financial crisis: central banking in a new global financial system

Since the outbreak of the global crisis in mid 2007, there has been an extensive discussion on root causes. Some blame the greed and corruption of financial actors. Others put the blame on central bankers for easy money or regulators who remained idle as too much risks accumulated in financial markets. According to advanced economies, global imbalances have been caused by emerging surplus countries that keep their currency undervalued and their domestic consumption restricted. It is unfortunate that all these arguments and counter arguments, which may be valid in their own way, prevents a more general discussion on the deep-seated conflicts and contradictions in the global economic, social and political paradigm upon which the world order is built. To put it another way, the problems we face today do not arise from some operational failures, but from the system itself and the underlying philosophical framework. In fact this is a crisis of three main pillars of our existing system: the crisis of the economic theory, the crisis of the globalization, and the crisis of market based financial system.global financial crisis, economic theory, financial system

Why did it work this time: a comparative analysis of transformation of Turkish economy after 2002

Turkey had several unsuccessful stabilization efforts during 1980s and 1990s. Thanks to policies that were put into practice after the 2001 crisis, which constitutes a turning point for Turkish economy, fiscal discipline was restored, single digit inflation was reached, and yet growth rate was doubled compared to the previous decade average. As a result investment climate improved and the economy benefited from substantial amount of foreign direct investment and other long-term capital inflows. However these developments had some adverse side effects as well. Real appreciation of domestic currency, deterioration of trade balance, and increasing private indebtedness generated vulnerability for sudden stops. Beside, increasing global integration and very rapid shift in the economic circumstances caused difficulties for traditional sectors. This paper analyzes the Turkish experience after 2001 and identifies underlying dynamics of the restructuring program, while denoting the costs of this transition. Turkish case provides evidence in favor of disinflation programs combined with sound fiscal policies in spite of some adverse effects in the short run.Turkish Economy, Crisis, Stabilization Policy, Macroeconomic Performance