Two Founding Fathers, Washington’s closest advisers, the first secretary of State Thomas Jefferson and the first secretary of the Treasury Alexander Hamilton, presented different viewpoints of the American Revolution and were one of the first people, who shaped the political landscape in the new-born independent country. Their debate and opposition have eventually led to the founding of the dual party system in the U.S., which still operates today. Although the economic conditions and political needs were different at that period, the basic principles and ideals remain currently central. In the first part of 20th century Hamilton and Jefferson ...
Essays on Hamiltonian
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Euler circuits
In a graph proposition, an Eulerian trail refers to a graph that moves to each edge precisely once. On the same note, Eulerian circuits (Eulerian cycle) refers to Eulerian trail that originates and stops on the one vertex. This was first applied by Leonard Euler whereby he stated that appropriate condition for the presence of Eulerian circuits is that the entire graph vertices have even level, and illustrated without confirming that joined graphs with having even degree entails Eulerian circuit. Euler tour within an undirected graph refers to a cycle, which applies every edge just once. When such a cycle is present, the ...
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