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- the number of edges in a complete 2 of 2 undirected graph of 80 vertices is.? Select one: a. exactly equals 3160 b. None c. less than or equals 3160 d. less than or equals 6320 e. exactly equals 6320 Assume that you have a doubly link list. Pointer x is pointing to the last node in the link list and pointer y is pointing to before the last node. which of the following will remove the node pointed by x from the list? Select one: O a. delete x; b. y->prev->next = y->next; X->prev= y->prev; delete x; O C. X->prev->next = x->next; y->prev= x->prev; delete x; O d. x->next = y; y->prev = x->prev; delete x;1. Write code to define LinkedQueue<T> and CircularArrayQueue<T> classes which willimplement QueueADT<T> interface. Note that LinkedQueue<T> and CircularArrayQueue<T>will use linked structure and circular array structure, respectively, to define the followingmethods.(i) public void enqueue(T element); //Add an element at the rear of a queue(ii) public T dequeue(); //Remove and return the front element of the queue(iii) public T first(); //return the front element of the queue without removing it(iv) public boolean isEmpty(); //Return True if the queue is empty(v) public int size(); //Return the number of elements in the queue(vi) public String toString();//Print all the elements of the queuea. Create an object of LinkedQueue<String> class and then add some names of your friendsin the queue and perform some dequeue operations. At the end, check the queue sizeand print the entire queue.b. Create an object from CircularArrayQueue<T> class and…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…
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- Exercise # 2: Modify getShortestPath (graph, from, to) function so that if there is more than one minimum path from source node to destination node, it gives you the one with the minimum number of edges. Example 1: Input Graph: Adjacency list of the following graph. 6. 4 From: A To: For B [(A, F)] That is, the distance from A to Fis 10 both through the following path A>D>F, AD>c>G>F Output the correct answer is AD>F ((A, B) That is, the distance from A to B is 7 both through the following paths A>B, AD>c>B the correct answer is AB09.Given a linked list of N nodes such that it may contain a loop. A loop here means that the last node of the link list is connected to the node at position X(1-based index). If the link list does not have any loop, X=0. Remove the loop from the linked list, if it is present, i.e. unlink the last node which is forming the loop. Example 1: Input: N = 3 value[] = {1,3,4} X = 2 Output: 1 Explanation: The link list looks like 1 -> 3 -> 4 ^ | |____|Write a program that maintains a personal phone book in C. The program allows to:▪ Add and Delete entries from the phone book,▪ Search the phone book for a specific entry by last name or by phone number, and▪ Print out the entire entries in the phone book.The data in the phone book is maintained by storing in memory with the use of a singly linked list, withone list node per entry. Each node contains members for storing a person’s family name, first name, address,and the phone number. Use strings to store this information. The linked list must be kept in increasingalphabetical order, sorted by family name. There are no duplicate entries with the same family nameallowed in the phone book. This program should be menu driven, with the user being offered a choice of the following commandsdescribed below:▪ Insert a new entry into the phone book.The program should prompt the user for a new family name and first name, an address and a phonenumber. This information should be placed in a new…
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