Furthermore, a graph must have a rule that tells how the edges join the various vertices.”(TODD TIMMONS) The vertices would represent land and the edges would be the bridges. “Finally, a path is a sequence of edges and vertices, just as the path taken by the people in Königsberg is a sequence of bridges and land masses. Euler's problem was to prove that the graph contained no path that contained each edge (bridge) only once.” (TODD TIMMONS) He then began to wonder if the number of bridges was relevant to his study. Later finding that “if more than two of the land areas had an odd number of bridges leading to them, the journey was impossible.”(TODD TIMMONS) Also proving that any land area with “two land areas had an odd number of bridges leading to them, the journey would be possible if it started in either of these two areas”(TODD TIMMONS). Concluding his statements Euler stated that, “if there were no land areas with an odd number of bridges leading to them, the journey was possible starting from any area.”(TODD
Furthermore, a graph must have a rule that tells how the edges join the various vertices.”(TODD TIMMONS) The vertices would represent land and the edges would be the bridges. “Finally, a path is a sequence of edges and vertices, just as the path taken by the people in Königsberg is a sequence of bridges and land masses. Euler's problem was to prove that the graph contained no path that contained each edge (bridge) only once.” (TODD TIMMONS) He then began to wonder if the number of bridges was relevant to his study. Later finding that “if more than two of the land areas had an odd number of bridges leading to them, the journey was impossible.”(TODD TIMMONS) Also proving that any land area with “two land areas had an odd number of bridges leading to them, the journey would be possible if it started in either of these two areas”(TODD TIMMONS). Concluding his statements Euler stated that, “if there were no land areas with an odd number of bridges leading to them, the journey was possible starting from any area.”(TODD