Identify the ff. algorithm: Input: graph G = (V, E) in adjacency-list representation, and a vertex s € V. Postcondition: a vertex is reachable from s if and only if it is marked as "explored." mark all vertices as unexplored S := a stack data structure, initialized with s while S is not empty do remove (“pop") the vertex v from the front of S if v is unexplored then mark v as explored for each edge (v, w) in v's adjacency list do add (“push") w to the front of S Kruskal's Postfix None of the choices DFS BFS Dijkstra Prim

Identify the ff. algorithm: Input: graph G = (V, E) in adjacency-list representation, and a vertex s € V. Postcondition: a vertex is reachable from s if and only if it is marked as "explored." mark all vertices as unexplored S := a stack data structure, initialized with s while S is not empty do remove (“pop") the vertex v from the front of S if v is unexplored then mark v as explored for each edge (v, w) in v's adjacency list do add (“push") w to the front of S Kruskal's Postfix None of the choices DFS BFS Dijkstra Prim

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

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Discussion:1. Depth-first search (DFS) is a technique that is used to traverse a tree or a graph.DSF technique starts with a root node and then traverses the adjacent nodes ofthe root node by going deeper into the graph. In the DFS technique, the nodes aretraversed depth-wise until there are no more children to explore.- Once we reach the leaf node (no more child nodes), the DFS backtracks andstarts with other nodes and carries out traversal n a similar manner. DFStechnique uses a stack data structure to store the nodes that are beingtraversed. DFS Technique (Depth-First Traversal)o Following is the algorithm for the DFS technique.o Algorithm:1. Start with the root node and insert it into the stack2. Pop the item from the stack and insert into the ‘visited’ list3. For the node marked as ‘visited’ (or in visited list), add the adjacent nodesof this node that are not yet marked visited to the stack.4. Repeat steps 2 and 3 until the stack is empty.
Graphs implement the BFS and DFS graph traversal algorithms as a part of the code below (graph.cpp). The code reads in a graph from the sample_edges.txt file (to be put in the same directory as your code), and returns an adjacency list. The adjacency list is a vector, where each element is in turn a vector of (adjacent vertex, edge weight) pairs. Typedef is used to enhance readability. You are to use the adjacency list returned to implement the BFS and DFS algorithms. A header for the helper function is also included to implement DFS recursively. A utility function that prints the queue is provided to help you with the BFS implementation. Note that the BFS an DFS order the vertices are printed could be different from that shown in the test comments. graph.cpp /* Graph read from file, and represnted as adjacency list. To implement DFS and BFS on the graph */ #include <iostream> #include <sstream> #include <fstream> #include <vector> #include…
Draw a tree with 14 vertices Draw a directed acyclic graph with 6 vertices and 14 edges Suppose that your computer only has enough memory to store 40000 entries. Which best graph data structure(s) – you can choose more than 1 -- should you use to store a simple undirected graph with 200 vertices, 19900 edges, and the existence of edge(u,v) is frequently asked? - Adjacency Matrix - Adjacency List - Edge List
6. Write a source code to implement the BFS algorithm for the graph in the below figure.Also, show its output as the order of nodes visited, and draw your adjacency list.
Algorithm of spanning tree 1. Implement the Kruskal's algorithm of spanning tree 2. Write comments in each line as you understand3. Screenshots of three times output, for 5 verteces, 7 verteces, 8 verteces=============================================================/// Implementation of Kruskal"s algorithm on Spanning Tree#include<stdio.h>#define max 99int k;int array[8];int u,v;void main(){ int vertex, edge =1; /// ***We initialized but didn't increment no where int i,j, p,q; int edgecost[8][8]; int min = max, totalmincost = 0; /// To find out the minimum and total of those printf("\nEnter the quantity of Verteces: "); scanf("%d", &vertex); /// 1,2 -> 0 printf("\nEnter the cost values in matrix:\n"); for(i=1; i<=vertex; i++) { printf("\n"); for(j=1; j<=vertex; j++) { printf("cost[%d][%d]: ", i,j); scanf("%d", &edgecost[i][j]); if(edgecost[i][j] == 0)…
Show your tracing based on the algorithm given below. Use the following table to show your tracing. bfs(in v:Vertex) begin q.createQueue(v) q.enqueue(v) Mark v as visited while (!q.isEmpty()) q.dequeue(w) for(each unvisited vertex in the queue u adjacent w){ mark u as visited q.enqueue(u) endFor endWhile end The breadth-first search algorithm node visited w/u Queue/stack
Apply the Depth First Search (DFS) Traversal Algorithm for the following Graph and Show the DFS traversal Stack and DFS [2.2:1] want the tree
A binomial tree, Bn is defined recursively as follows. B0 is the tree with a single vertex.Create Bn+1, where n is a nonnegative integer, by making two copies of Bn; the first copy becomes the root tree of Bn+1, and the second copy becomes the leftmost child of the root in the first copy.Here are examples for n = 0 to 3: A. Create a table that has the number of nodes in each depth, d, of B0 to B4, where d ≥ 1 (you should NOT have to draw B5!). B. What do you think the answers for problem d, above, for B5?
Suppose an array is given A = [A, C, E, F, K, L, M, N, Y, Z] a. Draw a complete TERNARY tree from array A.b. Write preorder and postorder traversal for the created complete ternary.c. Draw the adjacency matrix and adjacency list for the complete ternary tree/graph. [You must consider the tree direction from top to bottom when drawing adjacencymatrix and list]
(a) Write the adjacency matrix and adjacency list of this graph. (b) Apply DFS on the graph, starting at node a (and considering alphabetical order in the case of multiple contingencies). Show the order of insertion and removal from the stack, and the DFS tree (or forest).
Draw a binary search tree and AVL tree from the following traversals: {15, 5, 20, 70, 3, 10, 60, 90, 16} Convert Binary Search Tree into Binary Tree such that sum of all greater keys is added to every key. Write a code to Convert Binary Search Tree drawn into Balanced Binary Search TreeNOTE: Code is required in Java
Consider Figure 2 and answer the following. Give reason of your answer. a)Is this a complete binary tree? b) Is this a binary search tree? c) Is this a max heap? d) Is this a graph? e) Write the post-order traversal of the tree presented in Figure 2.