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) };
Dijkstra’s
In computer science, the Dijkstra’s Algorithm is a greedy algorithm that is used compute the minimal distance from a node to all the other nodes in a weighted graph.
Want to see the full answer?
Check out a sample textbook solutionChapter 29 Solutions
Introduction to Java Programming and Data Structures, Comprehensive Version (11th Edition)
- What is the time complexity for computing the dot product of two n-dimensional vectors? I.e. the operation is x¹y, where x, y are two n-dimensional column vectors.arrow_forwardCan you find a more efficient sparse matrix representation (in terms of space and computational overhead)?arrow_forwardGiven an n-element sequence of integers, an algorithm executes an O(n)-time computation for each even number in the sequence, and an O(logn)-time computation for each odd number in the sequence. What are the best-case and worst-case running times of this algorithm? Why? Show with proper notations.arrow_forward
- The maze is described as a graph with a start, goal, edge lengths, and two types of edges: regular paths in the maze, and hedges which one can crawl through. We are only allowed to crawl through edge once. (Some parts of the maze are too thick to crawl through.) Design an algorithm which finds the shortest path to the goal, as quickly as possible. Please do not use the modified version of Dijkstra. Instead modify the graph and use regular version of Dijkstraarrow_forwardYou have to run Prim's algorithm for the problem defined by adjacency matrix: 1 2 3 4 5 6 7 8 9 1 0 10 9 999 999 17 999 999 999 2 10 10 3 9 11 0 14 4 2 999 999 13 999 14 0 7 999 999 999 999 999 4 999 4 7 0 999 2 8 999 999 567 999 2 999 999 0 6 999 1 999 17 999 999 2 6 0 999 7 999 999 999 999 8 999 999 0 11 4 8 999 13 999 999 1 7 11 0 8 9 999 999 999 999 999 999 4 8 0 1. We started from the vertex vl, so initially we have Y = {v1}: initial nearest 1 2 3 4 5 6 7 8 9 16 1 1 1 1 1 1 1 1 distance -1 10 9 999 999 17 999 999 999 Print out the values stored in the nearest and distance arrays after first iteration of Prim's algorithm. Specify the value of vnear and the next vertex that has to be added to Y Hint: use (copy) the table above to record your answer.arrow_forwardThe algorithm for computing the Hamming distance between two sequences of the same length implemented in R, for instance, by first splitting the sequences into vectors with the strsplit function and then using the sum function to count the number of positions at which the two vectors differ.arrow_forward
- Simplify the following expression to products of sums using k maps and don't care F = (A, B, C, D) = N(1, 3, 6, 9, 11, 12, 14)arrow_forwardWrite an algorithm that uses an adjacency matrix, A[n][n], to determine if a digraph contains the back edge of one of its edges. (The back edge of an edge (i, j) is the edge (j, i).) 2.arrow_forwardDiscrete math truth tables. Pklease make a table and show me how to do this I do not understand this.arrow_forward
- findarrow_forwardI needed the algorithm for G whose length is even. You can read it in the last line of the question. I don't know where the divisible by 5 part came from. Please solve the question again.arrow_forwardHow to use python code to plot linear regression 3D graph?x=[22, 25, 34, 41, 51,59]y=[0.65, 0.67,0.65,0.65,0.8,0.7]z=[182, 178, 147, 119, 111,95]A=np.transpose(np.array([[22, 25, 34, 41, 51,59],[0.65, 0.67,0.65,0.65,0.8,0.7],[1,1,1,1,1,1]]))Make x,y,z corresponding poing intercept at one point[eg point m(22,0.65,182)]arrow_forward
- 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