Question 4. a.)Given the graph below from part 4.b. you are using the priority queue prims...
a.)Given the graph below from part 4.b. you are using the priority queue prims algorithm. Let the priority queue currently contains nodes A, B. What is the value of node you u=extract_min(Q). b.) Run 1 iteration of Prims while loop, showing the priority queue. 5 А E 1 10 7 2 B с D 3 4 c.) What if you read on the news prioriy queue was improved such that both update_key, and extract min became O(logʻ(n)) how would Prims,...
Question 3. Below is the result of the 1st and 2nd iteration of the Bellman-Ford single source shortest path algorithm starting at node A A B C D E B 2 000 0-14 E 0000 DO (D Please note the above table does not contain the pi or previous node values. Please provide the changes to the tables that occure during the third iteration only for distance(shortest path estimation) when processing only the edges: edges (D,C), (B,C),(D,B), (B,D) (B,E) and...
Run the Dijkstra’s algorithm on the directed graph of the
following figure 24.6, using vertex t as
the source. In the style of Figure 24.6, show the d and
? values and the vertices in set S after each iteration of
the while loop.
1 8 10 I 10 14 4 6 4 6 2 3 2 3 4 6 5 5 2 (a) (c) 1 10 13 4 6 (d) (e) Figure 24.6 The execution of Dijkstra's algorithm. The...
9. In the graph below (A) Determine the shortest path from a to ALL other nodes using Dijkstra's Shortest Path Algorithm, The answers must be in the following form: For each node, give the shortest path from a to that node (that is, list the nodes in the path). Also for each path give the length of the path. (B) ON THIS SHEET OF PAPER SHOWING A TRACE OF DIJKSTRA'S ALGORITHM ON THE GRAPH BELOW AS IDID IN CLASS FOR FULL CREDIT YOU MUST LABEL...
can you please solve this CORRECTLY?
Exercise 4 - Shortest path (25 pts) Using Dijkstra's algorithm, find the shortest path from A to E in the following weighted graph: a- Once done, indicate the sequence (min distance, previous node) for nodes D and E. (15pts) b- Below is a high-level code for Dijkstra's algorithm. The variables used in the code are self-explanatory. Clearly explain why its running time (when we use a min-heap to store the values min distance of...
Dijkstra’s Algorithm: You have to implement the Dijkstra’s
algorithm and apply it on the graph provided below.
You have to take the input from the user as an adjacency matrix
representing the graph, the source, the destination. Then you have
to apply the Dijkstra’s algorithm to find the shortest path from
the source and the destination, and find the shortest
route between the source and the destination.
For the input you have to read it from a file. It will...
Can you please help with the below? 1) Which of the following is true about using a 2-3-4 tree? a. It is designed to minimize node visits while keeping to an O(log n) search performance b. It is designed to self-balance as new values are inserted into the tree c. As soon as a node becomes full, it performs the split routine d. None of the above 2) Which of the following is true about a binary search tree? a. ...
Genetics Question 4 Part B [20 marks] You will use a deBruijn graph to assemble the 10bp circular genome from which these short (7-mer) reads have been derived: Reads: GCAGGTA TAACCGC GTAACCG CCGCAGG AGGTAAC A) Break the reads into the 10 k-mers for k 3 that you can obtain from these reads and write them out next to the reads in your book. [5 marks B) Draw a deBruijn graph using the k-mers as the edges to connect k -...
10) Shortest Paths (10 marks) Some pseudocode for the shortest path problem is given below. When DIJKSTRA (G, w,s) is called, G is a given graph, w contains the weights for edges in G, and s is a starting vertex DIJKSTRA (G, w, s) INITIALIZE-SINGLE-SOURCE(G, s) 1: RELAX (u, v, w) 1: if dlv] > dlu (u, v) then 2d[v] <- d[u] +w(u, v) 3 4: end if 4: while Q φ do 5: uExTRACT-MIN Q) for each vertex v...
Question 4 Part B [20 marks] deBruijn graph (7-mer) reads have been derived: You will use a to assemble the 10bp circular genome from which these short Reads GCAGGTA ТААССGC GTAACCG CCGCAGG AGGTAAC Break the reads into the 10 k-mers for k = 3 that you can obtain from these reads and write them out next to the reads in your book. [5 marks] ii. Draw a deBruijn graph using the k-mers as the edges to connect k - 1...