1. For each part, determine (1) whether the graph has a negative-weight cycle (ii) whichalgorithm is best for finding shortest paths in it and (i) the shortest path from O to X.C to A3E4C to A3DEC to A624.A to G

Answer:- A)if Graph doesn't contain any negative edge weight then Dijkstra algo is best here we can…

1. For each part, determine (1) whether the graph has a negative-weight cycle (i) which algorithm is best for finding shortest paths in it and (1) the shortest path from O to X. C to A C to A C to A A to G

1. For each part, determine (1) whether the graph has a negative-weight cycle (i) which algorithm is best for finding shortest paths in it and (1) the shortest path from O to X. C to A C to A C to A A to G

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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Question

1. For each part, determine (1) whether the graph has a negative-weight cycle (ii) which
algorithm is best for finding shortest paths in it and (i) the shortest path from O to X.
C to A
3
E
4
C to A
3
D
E
C to A
6
2
4.
A to G

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Please help me solve this problem
1. Consider the weighted, directed graph containing the following vertices and edges.(Weights are in the parentheses.)Vertices: {A, B, C, D} Edges: {AB(5), BC(3), CA(4), AD(2), DA(4), CB(3)}a. Starting at vertex C, determine the shortest path tree using Dijkstrab. If you were to apply Floyd-Warshall’s algorithm to this tree, would it include the shortest path tree you found using Dijkstra? Why or why not?c. Starting at vertex C, determine the minimum spanning tree using Prim.d. Would Kruskal’s algorithm always result in the same MST as Prim’s? Why or why not? Please provide graphs if possible.
3. Given a Directed Acyclic Graph (DAG) G = (V,E), design an algorithm to determine whether there exists a path that can visit every node. The algorithm should have time complexity of O(|E|+ |V]). Prove why your algorithm is correct.
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please explain fully