The Euler Paths Of New York City

An Euler Path in a graph is a path which passes over each edge of the graph exactly once. They can be used in the real world in a variety of ways, all which are capable of making people use their time more efficiently. The history, mathematical applications, and real world applications of Euler Paths can be explained and applied to examples. A map of New York City will be shown and will include an Euler Path. For example, if there are ten locations which a tourist would like to see, a map with an Euler Path can get them to each location without the need to revisit the same place twice. Also, it is the most efficient way to get from place to place. The map will exemplify how Euler Paths can be used to an advantage to save time. The first mention of Euler Paths was in 1736 by a man with the name of Leonhard Euler. He was posed with a problem involving seven bridges around the island of Königsberg, located in Germany. People questioned if it was possible to cross each bridge without crossing the same bridge twice. Euler obtained a rule to this problem and called it the “Euler Path.”
“A problem was posed to me about an island in the city of Königsberg, surrounded by a river spanned by seven bridges, and I was asked whether someone could traverse the separate …show more content…
He wants to get to each place as he can so that he can be back at his hotel for dinner. He starts by going to the Brooklyn Bridge first. After he sees the bridge, he makes his way to the Empire State Building. Next, he goes to Rockefeller Center. Then, he moves onto Times Square. After that, he visits the Intrepid Museum. Later, he goes to Central Park. Finally, he ends his trip at Forest Hills. By using the most efficient route, the tourist could save time and still get back to his hotel by the end of the