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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 QuestionIt is a data structures and algorithms assignment, breadth first search implementation using java, running with junit.assignment.txt file gives what need to be done in the .java files.bfsextracttreetest.java, bfstreecheckertest.java these two files will give the details for bfsextracttree.java, bfstreechecker.java files.?mygraph(1).jar file will give graph to all the files.bfs-ordering.pdf file will give diagrams of graphs. most of the code is already written in the files but just we need write code in “BFSExtractTree.java file, BFSTreeChecker.java file” to return the nodes in the graphs. and the comments are written in those files where to write the code.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.