A tree is  A. disconnected undirected graph with no simple circuits. B. a connected undirected graph with no simple circuits. C. a connected directed graph with simple circuits. D. a disconnected undirected graph with simple circuits. E. a disconnected directed graph with no simple circuits. F. a connected undirected graph with simple circuits. G. a connected directed graph with no simple circuits. H. a disconnected directed graph with simple circuits. I. None of the above

4. Königsberg bridges The Königsberg bridge puzzle is universally accepted as the problem that gave birth to graph theory. It was solved by the great Swiss-born mathematician Leonhard Euler (1707–1783). The problem asked whether one could, in a single stroll, cross all seven bridges of the city of Königsberg exactly once and return to a starting point. Following is a sketch of the river with its two islands and seven bridges: a. State the problem as a graph problem. b. Does this problem have a solution? If you believe it does, draw such a stroll; if you believe it does not, explain why and indicate the smallest number of new bridges that would be required to make such a stroll possible.

Here are two new definitions about graphs. The distance between two vertices in a graph is the number of edges in a shortest path connecting them. The diameter of a graph is the greatest distance between any pair of vertices in the graph. 1. What is the diameter of the cycle C13? What is the diameter of the cycle C₁4? 2. What is the diameter of the path Pg? 3. What is the diameter of the compelte graph K4? 4. What is the diameter of the complete bipartite graph K3,4? GI → J-> J

Can you give me the java code for the following