1. Write a Program to implement DFS algorithm and print the DFS sequence for below graph start with node D.
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- unique please Your task for this assignment is to identify a spanning tree in one connected undirected weighted graph using C++. Implement a spanning tree algorithm using C++. A spanning tree is a subset of the edges of a connected undirected weighted graph that connects all the vertices together, without any cycles. The program is 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 non-negative integers in the range 0 to 9 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 integers on each input transaction are separated by 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 process…Write a program in c++ which should create a weighted graph of the values entered by the user andthen write functions that perform the following: 1. Depth first search of source and destination vertex2. Breadth first search of source and destination vertex3. Shortest path search of source and all destination vertices (Dijkstra’s algorithm)4. Shortest path search of source and destination vertex (Dijkstra’s algorithm) The program should present a menu of the options and should run until the user opts to quit.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 node
- 1. BFS (Breadth First Search) and DFS (Depth First Search) algorithms on graphs. a. Represent the following graph in computer. D b. Implement BFS in Java and calculate the BFS result on the above graph using your code. The source (or starting point) is A. c. Implement DFS in Java and calculate the DFS result on the above graph using your code. The source (or starting point) is A. d. What is the time complexity of your BFS algorithm and why? What is the time complexity of your DFS algorithm and why?6. Write a java Program to implement Breadth First Search traversal of Graph.Enter the number of vertices in graph us 4.Code in C++ only In a rooted tree, the lowest common ancestor (or LCA for short) of two vertices u and v is defined as the lowest vertex that is ancestor of both that two vertices. Given a tree of N vertices, you need to answer the question of the form "r u v" which means if the root of the tree is at r then what is LCA of u and v. Input: 12 23 14 2 142 242 Output: 1
- What the code is about: Implement a recursive algorithm to add all the elements of a non-dummy headed singly linked linear list. Only head of the list will be given as parameter where you may assume every node can contain only integer as its element.Note: you’ll need a Singly Node class for this code. **PLEASE EXPLAIN HOW THE NODE CLASS AND THE CONSTRUCTOR OF THE NODE CLASS IS WORKING IN THIS CODE** #singlty node class for single linked listclass node: def __init__(self, value = None, next=None): self.value = value self.next = nextdef AddAll(head):#takes head of single linked list head if head==None: return 0#if reached end of the linked list return AddAll(head.next) + head.value #each node's next pointer is passed in recursive call #and value of each node is added while returning from recursive callpython language Write a function that generate all of the edges in a Graph. INPUT: Graph (as a Dictionary) OUTPUT: Nothing is output RETURNED: The resulting List of edgesIn this project, you will develop algorithms that find road routes through the bridges to travel between islands. The input is a text file containing data about the given map. Each file begins with the number of rows and columns in the map considered as maximum latitudes and maximum longitudes respectively on the map. The character "X" in the file represents the water that means if a cell contains "X" then the traveler is not allowed to occupy that cell as this car is not drivable on water. The character "0" in the file represents the road connected island. That means if a cell contains "0" then the traveler is allowed to occupy that cell as this car can drive on roads. The traveler starts at the island located at latitude = 0 and longitude = 0 (i.e., (0,0)) in the upper left comer, and the goal is to drive to the island located at (MaxLattitude-1, MaxLongitudes-1) in the lower right corner. A legal move from an island is to move left, right, up, or down to an immediately adjacent cell…
- 1. Using the above class map, write function void map::mapToGraph(graph &g){...} to create a graph g that represents the legal moves in the map m. Each vertex should represent a cell, and each edge should represent a legal move between adjacent cells. 2. Write a recursive function findPathRecursive(graph &g, stack &moves) that looks for a path from the start island to the destination island. If a path from the start to the destination exists, your function should call the map::printPath() function that should print a sequence of correct moves (Go left, Go right, Go down, Go up, etc.). If no path from the start to the destination exists, the program should print, "No path exists". If a solution exists the solver should also simulate the solution to each map by calling the map::print() function. The map::print() function prints out a map visualization, with the goal and current position of the car in the map at each move, marked to show the progress. Hint: consider recursive-DFS. 3.…In C++, I need help to implement a Breadth-First Search (BFS). a) Display the adjacency list representation of the graph b) Display the list of colors. The colors used should be in the following order: {Blue, Brown, Green, Lavender, Orange, Pink, Red, Yellow, Violet, Gold, Gray, Indigo, Silver} c) Create a BFS tree and display the tree.Exercise # 2 - Detecting Cycle between List of N Airports The following graph is an example from Rosen (2011). It shows the flights and distances between some of the major airports in the United States. Dallas 200 1300 200 Austin Washington Denver 1400 Atlanta 160 800 800 Chicago Houston Write a function that takes a list of N airports and checks if they form a cycle of size N. {A cycle is a directed path that starts and ends at the same vertex. Before writing code, make sure you can identify cycles yourself} >> check_cycles (G, ['Austin','Houston', 'Atlanta','Washington','Dallas'l) Yes >>> check_cycles (G, ['Austin', 'Houston','Atlanta','Washington']) No 600 600 780 0000 000L 006