Q.7 If given graph bellow (Arad is root and Bucharest is goal):Draw the tree by using the A* search, where you have to show all details on the tree?Straight-line distanceto BucharestO Oradea71,NeamtAradBucharestCraiova366O zerind1518775/160O lasiDobreta242AradEforieFagarasGiurgiuHirsova14016192178Sbu66Fagaras77118O Vaslui15180Iasi226Rimnicu VikceaLugojMehadiaTimisoara244142241111211NeantOradea97Pitesti234OLugoj7038098Pitesti9814610185O HirsovaRinınicu VilceaÓ Mehadia75Urziceni19313886Sibiu253BucharestTimisoara329120Dobreta O90Urziceni80CralovaVaslui199EforieO GiurgiuZerind374

A* search algorithm is used to traverse the graph and to find the path. A* search algorithm has two…

Q.7 If given graph bellow (Arad is root and Bucharest is goal): Draw the tree by using the A* search, where you have to show all details on the tree? Straight-line distance to Bucharest O Oradea 71 Neamt Arad 366 87 Bucharest 75 Zerind 151 Craiova 160 O lasi Dobreta Eforie Fagaras Giurgiu Hirsova 242 sad O 140 161 92 178 Sbu 99 Fagaras 77 118 O Vaslui 151 80 Iasi 226 Rimnicu Vicea Lugoj Mehadia Timisoara 244 142 241 111 211 Neant 234 97 Pitesti Oradea 380 70 98 Pitesti 98 146 101 85 O Hirsova Rinınicu Vilcea O Mehadia 75 Urziceni 193 Sibiu Timisoara Urziceni Vaslui Zerind 138 86 253 Bucharest 329 120 Dobreta O 90 80 Cialova 199 Eforie O Gurgiu 374

Q.7 If given graph bellow (Arad is root and Bucharest is goal): Draw the tree by using the A* search, where you have to show all details on the tree? Straight-line distance to Bucharest O Oradea 71 Neamt Arad 366 87 Bucharest 75 Zerind 151 Craiova 160 O lasi Dobreta Eforie Fagaras Giurgiu Hirsova 242 sad O 140 161 92 178 Sbu 99 Fagaras 77 118 O Vaslui 151 80 Iasi 226 Rimnicu Vicea Lugoj Mehadia Timisoara 244 142 241 111 211 Neant 234 97 Pitesti Oradea 380 70 98 Pitesti 98 146 101 85 O Hirsova Rinınicu Vilcea O Mehadia 75 Urziceni 193 Sibiu Timisoara Urziceni Vaslui Zerind 138 86 253 Bucharest 329 120 Dobreta O 90 80 Cialova 199 Eforie O Gurgiu 374

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

Q.7 If given graph bellow (Arad is root and Bucharest is goal):
Draw the tree by using the A* search, where you have to show all details on the tree?
Straight-line distance
to Bucharest
O Oradea
71,
Neamt
Arad
Bucharest
Craiova
366
O zerind
151
87
75/
160
O lasi
Dobreta
242
Arad
Eforie
Fagaras
Giurgiu
Hirsova
140
161
92
178
Sbu
66
Fagaras
77
118
O Vaslui
151
80
Iasi
226
Rimnicu Vikcea
Lugoj
Mehadia
Timisoara
244
142
241
111
211
Neant
Oradea
97
Pitesti
234
OLugoj
70
380
98
Pitesti
98
146
101
85
O Hirsova
Rinınicu Vilcea
Ó Mehadia
75
Urziceni
193
138
86
Sibiu
253
Bucharest
Timisoara
329
120
Dobreta O
90
Urziceni
80
Cralova
Vaslui
199
Eforie
O Giurgiu
Zerind
374

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Kruskal's Algorithm: Kruskal's algorithm is a minimum-spanning-tree algorithm which finds an edge of the least possible weight that connects any two trees in the forest. This algorithm is a Greedy Algorithm. The steps to find a MST using this algorithm are as follows: Sort all the edges in non-decreasing order of their weight. Pick the smallest edge. Check if it forms a cycle with the spanning tree formed so far. If cycle is not formed, include this edge. Else, discard it. Repeat step2 until there are (V-1) edges in the spanning tree. Example with 10 vertices and 20 weighted edges:
Q.1 Use the breadth-first search algorithm to find a spanning tree for the connected graph (Start vertex is A): (a) F H F R D
Please show step-by-step explanations. Thank you. About the Petersen Graph, (a) The Petersen Graph P is shown below. Assign an edge weight of 1 to each edge of P. Use either Kruskal or Prim’s Algorithm to find a (necessarily minimum weight)spanning-tree of P. you must be clear about whichthe algorithm you choose and show and explain each step leading to the spanning tree.
35. Use the Breadth-First Spanning Tree Search Algorithm to find a spanning tree of K4. Start from vertex j. Remember, we start with vertex j being labeled 0. d h K6 1: a. Vertices that should be labeled as step b. Vertices that should be labeled as step 2: c. Vertices that should be labeled as step 3: d. Vertices that should be labeled as step 4: e. Edges that need to be removed to get a spanning tree:
Find the Minimum spanning tree of the below graph using Kruskals algorithm. You may refer to the class slides for algorithm. Clearly trace the working of the algorithm in your worksheet and upload the same as the solution.