Introduction to Java Programming and Data Structures, Comprehensive Version (11th Edition)
11th Edition
ISBN: 9780134670942
Author: Y. Daniel Liang
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Question
Chapter 29.5, Problem 29.5.4CP
Program Plan Intro
Weighted Graph:
A graph is termed as weighted graph if each edge of the graph is assigned a weight. The weighted edges stored in the weighted graphs can be stored in adjacency lists.
Weighted edges can be represented using a two-dimensional array. An weighted edge can be represented as “WeightedEdge(u,v,w)”, where “u” and “v” are edges and “w” represents the weight between them.
Example of storing edge in a weighted graph:
Object[][] edges =
{new Integer(0), new Integer(1), new SomeTypeForWeight(8) };
Spanning Tree:
In computer science, a Spanning Tree for a graph “G” is a subgraph of “G” that it is a free tree connecting all vertices in “V”.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
What is the Edges of the minimum spanning tree of the graph shown below?
How can linked lists represent adjacency lists inside a graph? Give an instance. No coding is required.
Assuming an implementation of a class of undirected graphs, implement a method that detects whether an undirected graph is acyclic. You can look for cycles during either a breadth-first traversal or a depth-first traversal by discovering an edge to a vertex that is not the predecessor and has already been visited. To simplify the problem initially, you can assume that the graph is connected. Then remove this assumption.'
Chapter 29 Solutions
Introduction to Java Programming and Data Structures, Comprehensive Version (11th Edition)
Ch. 29.2 - Prob. 29.2.1CPCh. 29.2 - Prob. 29.2.2CPCh. 29.3 - Prob. 29.3.1CPCh. 29.3 - Prob. 29.3.2CPCh. 29.3 - Show the output of the following code: public...Ch. 29.4 - Prob. 29.4.1CPCh. 29.4 - Prob. 29.4.2CPCh. 29.4 - Prob. 29.4.3CPCh. 29.4 - Prob. 29.4.4CPCh. 29.4 - Show the output of the following code: public...
Ch. 29.5 - Prob. 29.5.2CPCh. 29.5 - Prob. 29.5.3CPCh. 29.5 - Prob. 29.5.4CPCh. 29.5 - Prob. 29.5.5CPCh. 29.5 - Prob. 29.5.6CPCh. 29.5 - Show the output of the following code: public...Ch. 29.6 - Prob. 29.6.1CPCh. 29.6 - Prob. 29.6.2CPCh. 29.6 - Prob. 29.6.3CPCh. 29 - (Modify weight in the nine tails problem) In the...Ch. 29 - (Find a minimum spanning tree) Write a program...Ch. 29 - (Create a file for a graph) Modify Listing 29.3,...Ch. 29 - Prob. 29.11PECh. 29 - Prob. 29.12PE
Knowledge Booster
Similar questions
- Suppose you are given a fully connected graph where the weight of all the edges is the same. Now, if you want to find the Minimum Spanning Tree of that graph then is there any better algorithm to do that. If Yes then write the name of that algorithm otherwise write No.arrow_forwardWho are the neighbors of vertex f? [Please, give the list in alphabetical order, separating letters with only a comma. Do not insert blank spaces] How many zeros does the adjacency matrix of the graph above contain? What is the value on row g and column d of the adjacency matrix?arrow_forwardFind the shortest path from S to other nodes, on the given directed acyclic graph.Graph: R → A : 3 S → A : 1 A → C : 6 B → D : 3 C → E : 2R → S : 2 S → B : 2 B → A : 4 C → D : 1 D → E : 1 Answer: Topological Ordering: __________________________ Node Edge Relax? Update Shortest Path from S: Length Path R S A B C D Earrow_forward
- You are given a weighted tree T.(As a reminder, a tree T is a graph that is connected and contains no cycle.) Each node of the tree T has a weight, denoted by w(v). You want to select a subset of tree nodes, such that weight of the selected nodes is maximized, and if a node is selected, then none of its neighbors are selected.arrow_forwardfor the graphWhat edges are selected to obtain the minimum spanning tree? Select one or more than one:arrow_forwardFind the bitonic shortest route from s to every other vertex in a digraph (if one exists). If there is an intermediate vertex v such that the edges on the road from s to v are strictly rising and the edges on the path from v to t are strictly decreasing, the path is bitonic. The path should be straightforward.arrow_forward
- Can you help me with this problem and can you do it step by step. question: Show that every graph with two or more nodes contains two nodes that have equal degrees.arrow_forwardThe result of Prim's method is always a Minimum Spanning Tree, but why is that?arrow_forwardWrite a C# method to determine if a vertex has no successors and a method for removing a vertex from a graph.arrow_forward
- What vertex will be picked up to execute the 1st iteration of the Shortest Path Algorithm in order to calculate the distance between vertex A and the other vertices in the following graph?arrow_forwardGiven the graph below, what should be the souce node such that in finding the shortest path tree, the result would be the same whe the minimum spanning tree is searched?arrow_forwardIs it true or false? If it is true, include a (short, but clear) argument why it is true, and if it is false, include a concrete graph which shows that the claim is false.a) If all vertices in a connected graph have even degree, then for whichever two vertices u and v in the graph you choose, there is an Eulerian trail between u and v. b) Given a graph G we construct a new graph H by adding a new vertex v and edges between v and every vertex of G. If G is Hamiltonian, then so is H.c) We know that if a graph has a walk between u and v it also has a path between u and v, for any two vertices u and v. Is it always true that if a graph has a circuit containing u and v it also has a cycle containing u and v? d) The complete bipartite graph K?,?(lowered indicies) is Hamiltonian if and only if m = n ≥ 2.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Database System ConceptsComputer ScienceISBN:9780078022159Author:Abraham Silberschatz Professor, Henry F. Korth, S. SudarshanPublisher:McGraw-Hill EducationStarting Out with Python (4th Edition)Computer ScienceISBN:9780134444321Author:Tony GaddisPublisher:PEARSONDigital Fundamentals (11th Edition)Computer ScienceISBN:9780132737968Author:Thomas L. FloydPublisher:PEARSON
- C How to Program (8th Edition)Computer ScienceISBN:9780133976892Author:Paul J. Deitel, Harvey DeitelPublisher:PEARSONDatabase Systems: Design, Implementation, & Manag...Computer ScienceISBN:9781337627900Author:Carlos Coronel, Steven MorrisPublisher:Cengage LearningProgrammable Logic ControllersComputer ScienceISBN:9780073373843Author:Frank D. PetruzellaPublisher:McGraw-Hill Education
Database System Concepts
Computer Science
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:McGraw-Hill Education
Starting Out with Python (4th Edition)
Computer Science
ISBN:9780134444321
Author:Tony Gaddis
Publisher:PEARSON
Digital Fundamentals (11th Edition)
Computer Science
ISBN:9780132737968
Author:Thomas L. Floyd
Publisher:PEARSON
C How to Program (8th Edition)
Computer Science
ISBN:9780133976892
Author:Paul J. Deitel, Harvey Deitel
Publisher:PEARSON
Database Systems: Design, Implementation, & Manag...
Computer Science
ISBN:9781337627900
Author:Carlos Coronel, Steven Morris
Publisher:Cengage Learning
Programmable Logic Controllers
Computer Science
ISBN:9780073373843
Author:Frank D. Petruzella
Publisher:McGraw-Hill Education