Introduction to Java Programming and Data Structures, Comprehensive Version, Student Value Edition (11th Edition)
11th Edition
ISBN: 9780134671604
Author: Y. Daniel Liang
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Question
Chapter 29.5, Problem 29.5.6CP
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”.
Cost:
The cost of the spanning tree is the sum of the cost of all edges in the tree.
- A Minimum Spanning Tree of graph G is a spanning tree of G having a minimum cost.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Write pseudocode for a dynamic solution to find the shortest paths in a DAG, only pseudocode. Don’t forget to include comments!
Given: graph G, start node s, and end node t
There are an undetermined number of nodes in the fastest linkedlist.Is there one that stands out as being the longest?
vector<VertexT> Vertices; map<VertexT, vector<list>> adjList;
What is the worst case time complexity for this version of _LookupVertex?
bool _LookupVertex(VertexT v) const { if (adjList.count(v) != 0) { return true; } return false; }
V is the number of total vertices in the graph, E is the average number of edges per vertex.
O(v)
O(VlogE)
O(logV)
O(V^2)
O(E+V)
Chapter 29 Solutions
Introduction to Java Programming and Data Structures, Comprehensive Version, Student Value Edition (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
- 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.arrow_forwardIf there is an Euler path that starts at AA and ends at some other vertex, give it. Otherwise enter DNE.This should be a list of letters, from A to the other vertex: e.g. ACBDEAD (if that were even possible!). Path: Since this is a planar graph, the number of regions - arcs + nodes equals what number?arrow_forwardThe number of nodes in the strongest linkedlist is unknown. Is there a particular one that stands out as being the longest?arrow_forward
- List test paths that achieve node coverage but not edge coverage on the graph. public boolean isPerfect(int x) { int sum = 0; Boolean output; for(int i = 1; i<=(x/2); i ++) { if(x%i == 0) { sum = sum + i; } } if(sum == x) { output = true; }else { output = false; } return output; }arrow_forwardIt is unknown how many nodes are in the strongest linkedlist. Is there one in particular that jumps out as being the longest?arrow_forwardstruct Neighbors { VertexT vertex; WeightT weight; }; map<VertexT, vector<Neighbors>> adjList; What is the worst case time complexity for this version of addEdge? bool addEdge(VertexT from, VertexT to, WeightT weight) { if ((adjList.count(from) == 0) && (adjList.count(to) == 0)) { return false; } Neighbors temp; temp.vertex = to; temp.weight = weight; for (auto &e: adjList.at(from)) { if (e.vertex == to) { e.weight = weight; return true; } } adjList[from].push_back(temp); return true; } V is the number of total vertices in the graph, E is the average number of edges per vertex. O(logV + E) O(E+V) O(ElogV) O(logV) O(1) O(V)arrow_forward
- How can linked lists represent adjacency lists inside a graph? Give an instance. No coding is required.arrow_forwardSensitivity. Create an SP client that runs a sensitivity analysis on the edges of an edge-weighted digraph in relation to a given pair of vertices s and t: Create a V-by-V boolean matrix so that, for each v and w, the entry in row v and column w is true if v->w is an edge in the edge-weighted digraphs whose weight can be raised without increasing the shortest-path length from v to w, and false otherwise.arrow_forward7- A student has created a plot of y(t)=t^2. He needs to show another graph of z(t)=t^3 in the same plot. But every time he hits the plot() function- MATLAB generates a plot of z(t) vs t but on a different window. What is the error? O It is not possible to plot multiple plots O He is not using the line function Maybe he is using polar() instead of plot() O He is not using the hold functionarrow_forward
- Implement an undirect graph in racket. Please have functions that will do the insertion and deletion. if you have a graph have a find_connection function and explain it while you're showing them how they work.arrow_forwardPlease list the bottleneck edges in the attached graph.arrow_forward8. Give a graph with 2n+2 nodes that has 2" shortest paths from node S to node D (specify S and D).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 Education
Starting Out with Python (4th Edition)Computer ScienceISBN:9780134444321Author:Tony GaddisPublisher:PEARSON
Digital Fundamentals (11th Edition)Computer ScienceISBN:9780132737968Author:Thomas L. FloydPublisher:PEARSON
C How to Program (8th Edition)Computer ScienceISBN:9780133976892Author:Paul J. Deitel, Harvey DeitelPublisher:PEARSON
Database Systems: Design, Implementation, & Manag...Computer ScienceISBN:9781337627900Author:Carlos Coronel, Steven MorrisPublisher:Cengage Learning
Programmable 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