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(answered) – 1) BFSExtractTree Modify a Breadth First Search such that it

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(answered) – 1) BFSExtractTree Modify a Breadth First Search such that itDescriptionSolution downloadThe Questionthis is implementing a breadth first search graph using java and running it with junit, the attached file assignment will give what has to be done in the code, two test files are given for BFSExtractTreeTest.java, BFSTreeCheckerTest.java to implement BFSExtractTree.java file and BFSTreeChecker.java file and BFS-orderings gives the graphs to reference, MyGraph(1).jar file will give the MyGraph to all the files.1) BFSExtractTree Modify a Breadth First Search such that it will extract atree from a given graph. This can be done by keeping track of the discoveringvertex (i.e., when a vertex is discovered for the first time and number, it isnumbered with the discovering node). This discovering vertex can beconsidered the parent. The parent of a root vertex is itself. Taken together,this parent information can be used to extract a tree.2) BFSTreeChecker Modify a Breadth First Search such that it will determineif a given graph is a tree or not (i.e., does the graph contain a cycle). This canbe done be checking if a graph has a cross edge. A cross edge can be identifiedas a rediscovering a vertex that has already been processed (i.e., numbered).Care will need to be taken to make sure that you do not count the discoveringnode as cross edge.