What is the shortest weighted path (sum of the weights on the edges has to be minimized) between vertex O and vertex 2? Design an O(V+E) algorithm that finds the shortest path between two vertices in a connected DAG, where V is the number of vertices and E is the number of edges.

What is the shortest weighted path (sum of the weights on the edges has to be minimized) between vertex O and vertex 2? Design an O(V+E) algorithm that finds the shortest path between two vertices in a connected DAG, where V is the number of vertices and E is the number of edges.

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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What is the shortest weighted path (sum of the weights on the edges has to
be minimized) between vertex O and vertex 2? Design an O(V+E) algorithm
that finds the shortest path between two vertices in a connected DAG, where
V is the number of vertices and E is the number of edges.

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Input: 6 8 -> n, m ( vertices, edges ) 1 2 3 1 ( first two numbers specify end-point vertices, 3rd number is the weight, and fourth 0 or 1. 1 = edge belongs to F, 0 edge doesn't belong to F 2 3 7 0 1 4 4 0 3 6 3 0 3 4 2 0 4 5 2 1 5 6 6 1 4 6 1 0 Ouput: 17
May you help me please :)
Write pseudocode to find all pairs shortest paths using the technique used in Bellman-Ford's algorithm so that it will produce the same matrices like Floyd-Warshall algorithm produces. Also provide the algorithm to print the paths for a source vertex and a destination vertex. Describe the properties of the algorithm you provide and the run time for your algorithm in detail.
3. What is the shortest path from vertex 'd' to 'h'? You may use Dijkstra's algorithm or any other method. Answer in this format: a-b-c-d-e-f (h 3 b 2 2. 4 2 5 1 3
In the figure below there is a weighted graph, dots represent vertices, links represent edges, and numbers represent edge weights. S 2 1 2 1 2 3 T 1 1 2 4 (a) Find the shortest path from vertex S to vertex T, i.e., the path of minimum weight between S and T. (b) Find the minimum subgraph (set of edges) that connects all vertices in the graph and has the smallest total weight (sum of edge weights). 2. 3.
True or false: For graphs with negative weights, one workaround to be able to use Dijkstra’s algorithm (instead of Bellman-Ford) would be to simply make all edge weights positive; for example, if the most negative weight in a graph is -8, then we can simply add +8 to all weights, compute the shortest path, then decrease all weights by -8 to return to the original graph. Select one: True False
Please apply Dijkstra's Shortest-Path algorithm in the graph below and find the shortest distances from source s. Edge weights are in the adjacency matrix table. y The adjacency matrix for the directed weighted graph is mentioned below: t y 10 5 1 2 X 4 y 2 7 6 Fill out the following table: Vertex Dist [v] Path[v] t y X > N 5.
Specifications: You will create an implementation of this algorithm. Your driver program should provide a graph and a source vertex in the graph. Your implementation should use Dijkstra's Algorithm to determine the shortest path using adjacency matrix representation. Specifically, given a graph and a source vertex in the graph, find the shortest paths from source to all vertices in the given graph, using Dijkstra's Algorithm.
What is the answer for this?
If we need a lot of adding and removing edges to a graph, it is better to represent the graph as O Adjacency matrix O Adjacency list
Q: Dijkstra's algorithm is an algorithm for finding the shortest paths between nodes in a weighted graph. Given a graph and a source vertex in the graph, find shortest paths from source vertex (E) to all vertices in the graph below.
In the following graph, find all the shortest paths from vertex "a" to all the other vertices.