Does this graph have a Hamilton Path?
Hint
Does this graph have a Eulerian Path?
Hint
If no, where can the fewest amount of edges be added to make one?
Hint
Solutions
Hint
Does this graph have a Eulerian Path?
Hint
If no, where can the fewest amount of edges be added to make one?
Hint
Solutions
Reflection: Problem solving in mathematics is about finding a path that can be replicated to other problems that eventually leads to a solution. This path is abstract thinking and reasoning as much as it is a number of sequential steps to solve for "x" or "y." This problem illustrates what was discussed in the Seven Bridges of Königsberg by Euler. Graph Theory allows mathematicians to model complex relationships and make conclusions about them. Taking a derivative or solving for "x" won't find which vertex in a graph can be removed to disconnect the graph. Instead, clear reasoning about a mathematical structure will find a solution.