You are given a tree that is built in a following way: initially there is single vertex 1. All the other vertices are added one by one, from vertex 2 to vertex N, by connecting it to one of those that have been added before. You are to find the diameter of the tree after adding each vertex. Let the distance between vertex u and v be the minimal number of edges you have to pass to get from u to v, then diameter is the maximum distance between any two pairs (u,v) that have already been added to the tree. Input: 2 3 1 Output: 1 2

You are given a tree that is built in a following way: initially there is single vertex 1. All the other vertices are added one by one, from vertex 2 to vertex N, by connecting it to one of those that have been added before. You are to find the diameter of the tree after adding each vertex. Let the distance between vertex u and v be the minimal number of edges you have to pass to get from u to v, then diameter is the maximum distance between any two pairs (u,v) that have already been added to the tree. Input: 2 3 1 Output: 1 2

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

See similar textbooks

Similar questions

You are implementing a binary search tree class from scratch, which, in additionto insert, find, and delete, has a method getRandomNode() which returns a random nodefrom the tree. All nodes should be equally likely to be chosen. Design and implement an algorithm for getRandomNode, and explain how you would implement the rest of the methods.
Pl
JAVA Code required: ExampleInput:41 1 2 2 Output:72
Java code ExampleInput:41 1 2 2 Output:72
You are creating from scratch a binary search tree class with the methods insert, find, and delete in addition to the method getRandomNode(), which retrieves a random node from the tree. There should be an equal chance of selecting each node. Create a getRandomNode algorithm, put it into practise, and describe how you'd develop the other functions.
Correct answer will be upvoted else Multiple Downvoted. Computer science. You are given n chains of lengths l1,l2,… ,ln. You intend to fabricate a tree utilizing some of them. Every vertex of the tree is either white or dark. The tree at first just has a white root vertex. All chains at first comprise just of white vertices. You can take one of the chains and interface any of its vertices to any white vertex of the tree with an edge. The chain turns out to be important for the tree. The two endpoints of this edge become dark. Each chain can be utilized close to once. A few chains can be left unused. The distance between two vertices of the tree is the number of edges on the most brief way between them. Assuming there is essentially k white vertices in the subsequent tree, the worth of the tree is the distance between the root and the k-th nearest white vertex. What's the base worth of the tree you can get? In case it is absolutely impossible to construct…
Our main objective is to implement breadth-first-search (BFS) to print the vertices of a graph G. To get the full grade, you must annotate your code (i.e., write relevant comments throughout your program) and proceed as follows: Ask the user to enter the number of nodes of a graph G. Ask the user to enter the edges of G (e.g., if the user enters 3 and 5; it means that there is an edge between nodes 3 and 5). Store the graph G using an adjacency matrix. Run BFS on G, starting form node 1 (i.e., we assume here that the start node is 1). Use a queue to implement BFS. You may use the queue class from the library of the programming language you are using (so there is no need to implement your own class queue). Write a main function to test your program, and make sure BFS is visiting the vertices of G as expected.
Java code only ExampleInput:41 1 2 2 Output:72