Exercise # 4: Level of each node in the graphHow to determine the level of each node in the given graph?As you know, BFS involves a level-order traversal of a graph. Hence, you can use BFS todetermine the level of each node as well.SLevel 01Level 1Level 23456.Level 3Exercise # 4a: Write a function nodes_of_level(G, level) that takes a graph and levelnumber as input and returns a list of all the nodes that are on the given level.Example 1:InputAdjacency list representation of graph shown above.level = 1Output[1, 2]Example 2:InputAdjacency list representation of graph shown above.level = 2%3DOutput[3, 4, 5, 6]9,2.

in the first question, S is the root node so, it is level 0. After that, 1 and 2 are coming it is a…

Answered: How to determine the level of each node…

How to determine the level of each node in the given graph? As you know, BFS involves a level-order traversal of a graph. Hence, you can use BFS to determine the level of each node as well.

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

Related questions

Q: We can traverse a graph using recursion. O True O False

A: We can traverse a graph using recursion.

Q: Breath First Search Distance Given a directed graph as an adjacency list, you will determine, in…

A: Here as the given graph is acyclic, we only visit a node for one time. If the graph is cyclic then…

Q: 8. Give a graph with 2n+2 nodes that has 2" shortest paths from node S to node D (specify S and D).

A: Approach: The goal is to determine the shortest path from node S to node D for each query, given a…

Q: The adjacency lists in a graph are represented by linked lists. Share a case in point. There's no…

Q: Consider the graph below. Use Prim's algorithm to find a minimal spanning tree of the graph rooted…

Q: Markup the BFS code so that it can determine if the graph g is connected or not. Further modify the…

A: The problem is to check the connectivity of a graph and identify its connected components and their…

Q: FS traversal of the graph in Figure 1 starting at r he alphabetical order. List the nodes in the…

A: Solution - In the given question, we have to do DFS and BFS traversal for the given graph.

Q: Write a Java program to implement Depth First Search traversal for the following Graph.

A: Here, we have to write the java program for the graph. For better understanding, I modified the…

Q: graph search: (randomized) Indicate the order in which nodes are visited in breadth-first and…

A: Breadth-First Search (BFS) and Depth-First Search (DFS) are two fundamental algorithms used for…

Q: A. [2,4] encodes the adjacent vertex 2 and vertex 4.

A: Option A. [2,4] encodes the adjacent vertex 2 and vertex 4. In encoding information is highly…

Q: To represent adjacence lists on a graph, linked lists are used in a certain way. Give an example to…

A: Introduction: Linked lists were first used to visualize adjacency lists in a graph. In a graph,…

Q: What graph traversal can be used to find all the possible traversal combinations from one given…

A: What is data structure: A data structure is a way of organizing and storing data in a computer's…

Q: Write code to invokes proc network to identify the connected components within a directed graph.…

A: The following code invokes proc network to identify the connected components within a directed…

Q: 3. Write all possible BFS traverses for the following graph starting from node K. " K F H B

A: Breadth First Search for the graph is similar to the Breadth First Traversal of the tree.

Q: А B D E

A: What is the BFS traversal for the given graph below?

Q: Does expressing a weighted graph using adjacency lists have any drawbacks?

Q: A graph is given. You need to implement BFS traversal to traverse al given graph. Consider the below…

A: Code: #include<iostream>#include <list>using namespace std; //class BFS_Graphclass…

Q: Starting with the tic-tac-toe program of Figure 12.4, draw a directed acyclic graph in which every…

A: Identify Clauses: Examine the tic-tac-toe program and identify the different clauses or sections of…

Q: n the game of Nim, an arbitrary number of chips are divided into an arbitrary number of piles. Each…

A: Nim is a Mathematical game of strategy. in which two players take turns removing (or "nimming")…

Q: raph Transversal Simulation: For this graph write down the order of vertices encountered in a…

A: Breadth-First Traversal (or Search) for a graph is similar to Breadth-First Traversal of a tree (See…

Q: Show that every graph with two or more nodes contains two nodes that have equal degrees.

A: A graph is a type of data structure used in computer science and mathematics. It is made up of a…

Q: A “star graph” consists of a single central node and n – 1 other nodes connected to it. What is the…

A: A central node in a network refers to a node that holds a significant or influential position within…

Q: DFA is D. If D allows strings, provide a method to find them. D is a directed graph, thus use a…

A: To find the strings that a DFA D accepts, we can use a graph traversal algorithm to explore all…

Q: I would like to know how to make an undirected graph implementation and how to make a method to find…

A: Using DFS, locate a cycle in an undirected graph: Utilize DFS on each unvisited node. A cycle in a…

Q: 1. Construct a simple graph that is a forest with vertices M, N, O, P, Q, R such that the degree of…

A: As per our guidelines, we are supposed to answer only one question. Kindly repost the remaining…

Q: Find the connected components of this graph and illustrate your method.

A: Strongly connected components in a directed graph are the components in which each node can reach…

Q: Discrete Mathmatics The graph intersection of a collection of sets A1, A2, · · · , An is the…

A: Intersection graphs are graphs that represent the relationships between different sets. Each set is…

Q: Which graph representation is efficient for finding if a node is adjacent or not, why the other is…

A: Data Structures

Q: Using the same graph from the previous questions: A G B Identify a cycle within the graph. D F E

A: In graph theory, a cycle refers to a closed path within a graph, where a sequence of edges forms a…

Q: h which has 6 nodes and better to impl

A: Draw an example of a graph which has 6 nodes and better to implement with a Adjacency Matrix.…

Q: Agraph is said to be biconnected, if it does not contain any articulation points and bridges. For…

A: The Answer is

Q: Give an example of an application of a graph in computer science. Indicate whether the graph is…

A: Graphs are used in computer science to represent networks,which are typically undirected.Cycles in…

Q: a) List all the bridges in this graph. Enter your answers in alphabetical order separated by commas…

Q: Note: Write step by step by drawing graph! i need organized and understandable written. Construct…

A: In the above diagram, starting with the root node, we will traverse to 1st left child node 5. In…

Q: ython Graph Algorithms: Minimum Spanning Trees Note: There are helper functions (see 'required'…

A: Given, Write a program that takes as input the number of locations, the number of roads, and the…

Q: In which order will the nodes(vertices) in the graph below be visited during a depth-first traversal…

A: Order in which the nodes will be traversed if Depth First Traversal start at Node A.

Q: The graph expansion algorithm that involves building a complete graph over the terminal (leaf)nodes…

A: The question is asking about a specific type of graph expansion algorithm. Graph expansion…

Q: To find the connected elements in a directed graph, write code that calls proc network. Take note of…

A: The following code invokes proc network to identify the connected components within a directed…

Q: Kruskal's minimum spanning tree algorithm is executed on the following graph. Select all edges from…

A: We are given a graph containing 8 vertices, A to H. We are going to apply Kruskal's minimum spanning…

Q: In this task you will work with an undirected Graph G = {V, E}, where V = {f,p,s,b,l,j,t,c,d} and E…

A: We have to Run, by hand, a depth-first search (DFS) traversal of the graph G, starting at node p.…

Q: Consider the following graph: a Specify a simple cycle. Use only lower case letters. If the graph…

A: A simple cycle is a cycle in a Graph with no repeated vertices (except for the beginning and ending…

Q: One can model a maze by having a vertex for a starting point, a finishing point, dead ends, and all…

A: According to the information given:- We have to construct a graph of the mentioned maze and find out…

Concept explainers

Minimum Spanning Tree

A spanning tree is a sub-graph of a connected, undirected graph. It has all the vertices of a graph with the minimum possible number of edges. If a vertex is skipped, then it will not be a spanning tree. The edges of a spanning tree may or may not have weights.

Question

Exercise # 4: Level of each node in the graph
How to determine the level of each node in the given graph?
As you know, BFS involves a level-order traversal of a graph. Hence, you can use BFS to
determine the level of each node as well.
S
Level 0
1
Level 1
Level 2
3
4
5
6.
Level 3
Exercise # 4a: Write a function nodes_of_level(G, level) that takes a graph and level
number as input and returns a list of all the nodes that are on the given level.
Example 1:
Input
Adjacency list representation of graph shown above.
level = 1
Output
[1, 2]
Example 2:
Input
Adjacency list representation of graph shown above.
level = 2
%3D
Output
[3, 4, 5, 6]
9,
2.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.

Similar questions

2. Consider the graph G2(V2, E2) below. 2a. Find the MST of this graph with Kruskal’s algorithm. Draw the MST, and show the table [edge] [w(u, v)] [mark]. 2b. Find the MST of this graph with Prim’s algorithm starting at vertex 'a'. Draw the MST and list the vertices in order you added them to the MST. 2c. Would you get a different MST if you repeat 2b starting at vertex 'e'? Why or why not?
Draw the adjacency list for the given undirected graph. No need for any program or something.
Given a graph data structure : G = (K, R) where, K = { +, -, *, /, %, = } R = { (+,*), (=,%), (=,+), (+,/), (-,/), (*,-) } a) Draw the graph above. b) How many spanning trees does the graph have? c) Draw all spanning trees of the graph, which are also “linear” (each graph node has no more than two neighbors).
Information Cascades It’s election season and two candidates, Candidate A and Candidate B, are in a hotly contested city council race in rainy Eastmoreland. You are a strategic advisor for Candidate A in charge of election forecasting and voter acquisition tactics. Based on careful modeling, you’ve created one possible version of the social graph of voters. Your graph has 10,000 nodes, where nodes are denoted by an integer ID between 0 and 9999. The edge lists of the graphs are provided in the homework bundle. Both graphs are undirected. Given the hyper-partisan political climate of Eastmoreland, most voters have already made up their minds: 40% know they will vote for A, 40% know they will vote for B, and the remaining 20% are undecided. Each voter’s support is determined by the last digit of their node id. If the last digit is 0–3, the node supports A. If the last digit is 4–7, the node supports B. And if the last digit is 8 or 9, the node is undecided. The undecided voters will go…
True or false: A max flow of a graph is always the sum of a subset of its edges.
Mark Zuckerberg, the CEO of Facebook, has hired you to lead the Facebook Algorithms Group. He has asked you to use various graph algorithms to analyze the world's largest social network. The Facebook Graph has 2.8 billion vertices, with each vertex being a Facebook user. Two vertices are connected provided those two users are "friends". The first decision you need to make is how you want to model the Facebook graph. Determine whether you should use an adjacency-list representation or an adjacency-matrix representation.
Linked lists are used in a particular fashion to represent adjacency lists on a graph. In order to better understand your idea, please provide an example. Can one begin coding without any prior experience?
Draw a graph and apply any graph traversing algorithm, clearly mentioning the steps
) Find the strongly connected components of the given graph using Kosaraju’s algorithm.Graph: A → B B → C B → E C → F D → B D → G E → AE → D E → F F → H G → E G → H H → I I → FHint: Graph LayoutA B CD E FG H I Answer: DFS on Reverse Graph starting on A: Labels 1 2 3 4 5 6 7 8 9 DFS on Original Graph, based on descending label order: Format: DFS starting from {node} (label = {node_label} ) = {nodes_discovered} DFS starting from ____ (label = ___ ): _____________________ DFS starting from ____ (label = ___ ): _____________________ DFS starting from ____ (label = ___ ): _____________________ Strongly Connected Components: _______________________________________
Write to code describes how to create the links dataset that represents the input graph. In this particular case, the links represent a directed network. The links dataset has only the nodes identification, which means, the from and to variables. The link weights in the transitive closure problem are irrelevant. In other words, it doesn’t matter the cost or the weight of the links, the algorithm searches for the possible paths to connect the nodes within the input graph. If there is a link or a set of links, no matter the weights, that connects node i to node j, that is the matter.
In an adjacency matrix implementation, what is an asymptotic notation describing how much memory you would need to use to store a bipartite graph? In an adjacency lists implementation, what is an asymptotic notation describing how much time you would need to enumerate all of the edges in a bipartite graph?
Find the Minimum spanning tree of the below graph using Kruskals algorithm. You may refer to the class slides for algorithm. Clearly trace the working of the algorithm in your worksheet and upload the same as the solution.