Challenge The Florentine families graph is a network of 16 Italian families in the early 15th century. The relation or the link between these families (nodes) is a marriage link. There are 20 such links or edges in nhis graph. Lamberteschi Peruzzi lischeri Guadagni Strozzi Castellan Tomabuori Ridolfi Albizzi Ginori Bartudon Medici Acciaiuoli Salviati Pazz a. Write all the helper functions to create the graph as done in the previous labs. You may use any implementation to define the graph. b. Then, write a function that will return the list of marriage links of a family in the graph. Sample: >>> marriageLinks(G,'Bischeri') ['Peruzzi' , 'Strozzi' , 'Guadgani']
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- Write a function that collects information from the user about a graph and builds an adjacency list representation of the graph; incorporate this function in the programs requested. Input: Information about a graph (see instructionsabove) and a node in the graphOutput: Nodes in a depth-first search of the graphbeginning with the given nodeWrite a program (in main.cpp) that: Prompts the user for a filename containing node data. Outputs the minimal spanning tree for a given graph. You will need to implement the createSpanningGraph method in minimalSpanTreeType.h to create the graph and the weight matrix. Note: Files Ch20_Ex21Data.txt and Ch20_Ex4Data.txt contain node data that you may test your program with. minimalSpanTreeType.h : #ifndef H_msTree #define H_msTree #include <iostream> #include <fstream> #include <iomanip> #include <cfloat> #include "graphType.h" using namespace std; class msTreeType: public graphType { public: void createSpanningGraph(); //Function to create the graph and the weight matrix. //Postcondition: The graph using adjacency lists and // its weight matrix is created. void minimalSpanning(int sVertex); //Function to create a minimal spanning tree with //root as sVertex. // Postcondition: A minimal spanning…In this assignment, you will design the AddNode and AddEdge methods for the supplied graph data structure. The AddNode and AddEdge methods are to support the construction of undirected (bi-directional) graphs. That is if node A is connected to node B then node B is also connected to node A. In addition to the AddNode and AddEdge methods, create a method called BreadthFirstSearch that accepts a starting node and performs a Breadth First Search of the graph. The algorithm for the breadth first traversal is provided below 1. Add a node to the queue (starting node) 2. While the queue is not empty, dequeue a node 3. Add all unvisited nodes of the dequeued node from step 2 and add them to queue 4. End While Demonstrate your methods by creating the graph depicted in Figure 1 below and running the Breadth First Search on the graph using 0 as the starting node. (see image below) You may use C++, C#, to implement this program as long as the following requirements are met. A C++, or C#…
- 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…Can you help me with a C++ programming task I am trying to complete for myself please: Write a program (in main.cpp) that: Prompts the user for a filename containing node data. Outputs the minimal spanning tree for a given graph. You will need to implement the createSpanningGraph method in minimalSpanTreeType.h to create the graph and the weight matrix. There are a few tabs: main.cpp, graphType.h, linkedList.h, linkedQueue.h, queueADT.h, minimalSpanTreeType.h, and then two data files labeled: CH20_Ex21Data.txt, CH20Ex4Data.txtCreate a function that rapidly identifies whether any two nodes u and v in a tree T with s as the root node are ancestors or descendants of each other.
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- In which of the following Linked list last node is pointed to first node and first node is pointed to last node? a. Circular Double Linked List. b. Circular Single Linked List. c. Depends on the problem. d. Circular Linked List.For the AVLTree class, create a deletion function that makes use of lazy deletion.There are a number of methods you can employ, but one that is straightforward is to merely include a Boolean field in the Node class that indicates whether or not the node is designated for elimination. Then, your other approaches must take into consideration this field.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…