You need to implement Prim's algorithm for mst creation. Your function is going to take a vector> or equivalent representing a graph and it will return another vector> or equivalent representing the chosen edges for the minimum spanning tree.

in java replit code please

This question should be answered with OCaml. All functions must be implemented with the Continuation Passing Style. Do not use ChatGPT. Oftentimes we want to traverse an entire tree in a certain order. One common way of traversing a tree is postorder traversal. In postorder traversal, we traverse the left subtree first, then traverse the right subtree, then visit the node. Our job is to create a function that returns a list of the values of the tree visited in postorder traversal. This function should be implemented with the Continuation Passing Style. Our function would have the following signature: traverse : 'a tree -> 'a list Example 1: For the tree in the image above, traverse should return the list [2; 5; 11; 6; 7; 5; 9; 9; 1]. Example 2: Input: Tree (Tree (Empty, 2, Empty), 1, Tree (Empty, 3, Empty)) Output: [2; 3; 1] Example 3: Input: Tree (Tree (Tree (Empty, 4, Empty), 2, Tree (Empty, 5, Empty)), 1, Tree (Empty, 3, Empty)) Output: [4; 5; 2; 3; 1]   1. Write a good set of…

Define a function breadthFirst, which performs a breadth-first traversal on a graph, given a start vertex. This function should return a list of the labels of the vertices in the order in which they are visited. Test the function thoroughly with the case study program.(In Python with comments) Use this template: class Vertex:    def __init__(self, label):        self.label = label        self.neighbors = []     def __str__(self):        return self.label        def add_neighbor(self, neighbor):        self.neighbors.append(neighbor)        self.neighbors.sort() # Graph definition provided, please don't modify any of the provided code# Add any helper methods if necessaryclass Graph:    def __init__(self):        self.vertices = []     # Add a vertex object     def add_vertex(self, vertex):        self.vertices.append(vertex)     # Get index of a vertex with corresponding label    # Return -1 if not found    def get_vertex_index(self, label):        index = 0        for vertex in…

1. Input: An undirected weighted graph G = (V, E, w)2. Output: An MST T = (V, E) of G3. T ← Ø4. Sort edges of G in non-increasing order and place them in a queue Q.5. repeat6. Remove the first edge (u, v) from Q and add it to T if it does not form a cyclewith the edges edge that are already included in T .7. until there are n − 1 edges in T .We can use union-find data structure to find whether the two endpoints of theselected edge are in the same set (the current MST fragment). It can be shown thatthis algorithm is correct and has a time complexity of O(m log n) [1].Give Python Implementation of algo

Assume that the nodes of the singly linked lists are arranged in decreasing order of the exponents of the variable x in order to add the two polynomials.The objective is to create a fresh list of nodes that represents the addition of P1 and P2. This is done by adding the COEFF fields of nodes in lists P1 and P2 that have identical powers of variable x, and then making a new node in the resulting list P1 + P2. The key part of the technique is shown below.The start pointers of the singly linked lists that correspond to the polynomials P1 and P2 are P1 and P2, respectively. Two temporary pointers, PTR1 and PTR2, are created with starting values of P1 and P2, respectively. Make procedural code.

Your task for this assignment is to identify a spanning tree in a connected undirected weighted graph using C++. 1. 2. 3. 4. Implement a spanning tree algorithm using C++. A spanning tree is an acyclic spanning subgraph of the of a connected undirected weighted graph. Your program will be interactive. Graph edges with respective weights (i.e., v1 v2 w) are entered at the command line and results are displayed on the console. Each input transaction represents an undirected edge of a connected weighted graph. The edge consists of two unequal uppercase letters representing graph vertices that the edge connects. Each edge has an assigned weight. The edge weight is a positive integer in the range 1 to 99. The three values on each input transaction are separated by a single space. An input transaction containing the string “end-of-file" signals the end of the graph edge input. After the edge information is read, the spanning tree evaluation process begins. Use an adjacency matrix for…

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Given a linked list of N nodes ..