def swap_vertices(self, i, j):
        """
        Swap two vertices in the tree structure array.
        swap_vertex swaps the location of two vertices in a tree structure array. 

        :param tree: the tree for which two vertices are to be swapped.
        :param i: the index of the first vertex to be swapped.
        :param j: the index of the second vertex to be swapped.
        :rval tree: the tree structure with the two vertex locations swapped.

        """
        store_vertex_i = self.vertices[i]
        store_vertex_j = self.vertices[j]
        self.vertices[j] = store_vertex_i
        self.vertices[i] = store_vertex_j
        for k in range(len(self.vertices)):
            for swap_list in [self.vertices[k].children, self.vertices[k].parents]:
                if i in swap_list:
                    swap_list[swap_list.index(i)] = -1
                if j in swap_list:
                    swap_list[swap_list.index(j)] = i
                if -1 in swap_list:
                    swap_list[swap_list.index(-1)] = j