Question

Given the following adjacency lists (with edge weights in parentheses) for a directed graph: A: B(5),...

Given the following adjacency lists (with edge weights in parentheses) for a directed graph:

A: B(5), C(3), D(1)

B: C(1), D(3)

C: B(3), D(7), E(1)

D: A(6), C(3)

E: F(5)

F: D(3), A(4)

Execute Dijkstra’s shortest-path algorithm by hand on this graph, showing how the data structures evolve, with A as the starting vertex. Clearly indicate which edges become part of the shortest path and in which order.

Homework Answers

Answer #1

Answer:

Given that the following adjacency lists (with edge weights in parentheses) for a directed graph is:

A : B(5), C(3), D(1)

B : C(1), D(3)

C : B(3), D(7), E(1)

D : A(6), C(3)

E : F(5)

F : D(3), A(4)

By executing Dijkstra’s shortest-path algorithm by hand on this graph, we have

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
# Problem Description Given a directed graph G = (V,E) with edge length l(e) > 0...
# Problem Description Given a directed graph G = (V,E) with edge length l(e) > 0 for any e in E, and a source vertex s. Use Dijkstra’s algorithm to calculate distance(s,v) for all of the vertices v in V. (You can implement your own priority queue or use the build-in function for C++/Python) # Input The graph has `n` vertices and `m` edges. There are m + 1 lines, the first line gives three numbers `n`,`m` and `s`(1 <=...
Below is a list of edges in a directed graph with nodes A,B,C,D,E,F: B → E,...
Below is a list of edges in a directed graph with nodes A,B,C,D,E,F: B → E, B → F, C → D, D → A, E → F a) Find 5 topological sortings of the graph. b) Which edge must be removed in order to make ABCDEF to be a topological ordering?
You are given a directed acyclic graph G(V,E), where each vertex v that has in-degree 0...
You are given a directed acyclic graph G(V,E), where each vertex v that has in-degree 0 has a value value(v) associated with it. For every other vertex u in V, define Pred(u) to be the set of vertices that have incoming edges to u. We now define value(u) = ?v∈P red(u) value(v). Design an O(n + m) time algorithm to compute value(u) for all vertices u where n denotes the number of vertices and m denotes the number of edges...
A graph consists of nodes and edges. An edge is an (unordered) pair of two distinct...
A graph consists of nodes and edges. An edge is an (unordered) pair of two distinct nodes in the graph. We create a new empty graph from the class Graph. We use the add_node method to add a single node and the add_nodes method to add multiple nodes. Nodes are identified by unique symbols. We call add_edge with two nodes to add an edge between a pair of nodes belonging to the graph. We can also ask a graph for...
Prove or disapprove each of the following: (a) Every disconnected graph has an isolated vertex. (b)...
Prove or disapprove each of the following: (a) Every disconnected graph has an isolated vertex. (b) A graph is connected if and only if some vertex is connected to all other vertices. (c) If G is a simple, connected, Eulerian graph, with edges e, f that are incident to a common vertex, then G has an Eulerian circuit in which e and f appear consequently.
Given a directed acyclic graph G= (V,E), vertex s∈V, design a dynamic programming algorithm to compute...
Given a directed acyclic graph G= (V,E), vertex s∈V, design a dynamic programming algorithm to compute the number of distinct paths from s to v for any v∈V. 1. Define subproblems 2. Write recursion 3. Give the pseudo-code 4. Analyze the running time.
Take the following graph: G(V, E) where V = {A, B, C, D, E} E =...
Take the following graph: G(V, E) where V = {A, B, C, D, E} E = { {A,B}, {B,C}, {C, A}. {B, D}, {B, E}, {D, E}} is this graph directed or undirected? write down the degree of each vertex. write down all the cycles in this graph.
Let us consider Boruvka/Sollin's algorithm as shown . Note that Boruvka/Sollin algorithm selects several edges for...
Let us consider Boruvka/Sollin's algorithm as shown . Note that Boruvka/Sollin algorithm selects several edges for inclusion in T at each stage. It terminates when only one tree at the end of a stage or no edges to be selected. One Step of Boruvka/Sollin's Algorithm 1: Find minimum cost edge incident to every vertex. 2: Add to tree T. 3: Remove cycle if any. 4: Compress and clean graph (eliminate multiple edges). (a) Suppose that we run k phases of...
You are given the independent jobs A(5), B(7), C(10), D(12), E(6), F(4), G(3). (a) Using the...
You are given the independent jobs A(5), B(7), C(10), D(12), E(6), F(4), G(3). (a) Using the alphabetical order priority list above, if the jobs are scheduled on 3 processors, what is the completion time? (b) If the decreasing time algorithm is used to schedule the jobs on 3 processors, what is the completion time? (c) If the decreasing time algorithm is used to schedule the jobs on 3 processors, which is the second job scheduled on processor 1? A B...
PROBLEM: Given f(x)=4x - x2 + k & (1,3+k) on the graph of f. (K=3) a)...
PROBLEM: Given f(x)=4x - x2 + k & (1,3+k) on the graph of f. (K=3) a) Write your equation after substituting in the value of k. (K=3) b) Calculate the function values, showing your calculations, then graph three secant lines i. One thru P(1,f(1)) to P1(0.5,__) ii. One thru P(1,f(1)) to P2(1.5,__) iii. One thru P1 to P2                                                                                                                       c) Find the slope of each of these three secant lines showing all calculations.                         d) NO DERIVATIVES ALLOWED HERE! Use the...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT