A town wishes to build a trail between city​ A, city​ B, city​ C, city​ D, and city E. The​ distances, in​ miles, between any two of the destinations are given in the table. Use the table to answer parts ​(a) and ​(b) below.   A B C D E   A ​* 154 134 216 129   B 154 ​* 195 51 243   C 134 195 ​* 225 220   D 216 51 225 ​* 308   E 129 243 220 308 ​*         ​a) Use​ Kruskal's algorithm to determine the​ minimum-cost spanning tree that would link each location to create the least expensive trail. Choose the correct graph below.   A. ABCD154216225E129   B. ABCD15419551E129   C. ABCD15413451E129   D. ABCD154134216E129     ​b) If the cost of building such a trail is​ $3700 per​ mile, what is the cost of building the trail determined in part​ (a)?       The cost is:

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
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A town wishes to build a trail between city​ A, city​ B, city​ C, city​ D, and city E. The​ distances, in​ miles, between any two of the destinations are given in the table. Use the table to answer parts ​(a) and ​(b)
below.
 
A
B
C
D
E
 
A
​*
154
134
216
129
 
B
154
​*
195
51
243
 
C
134
195
​*
225
220
 
D
216
51
225
​*
308
 
E
129
243
220
308
​*
 
 
 
 
​a) Use​ Kruskal's algorithm to determine the​ minimum-cost spanning tree that would link each location to create the least expensive trail. Choose the correct graph below.
 
A.
ABCD154216225E129
 
B.
ABCD15419551E129
 
C.
ABCD15413451E129
 
D.
ABCD154134216E129
 
 
​b) If the cost of building such a trail is​ $3700 per​ mile, what is the cost of building the trail determined in part​ (a)?
 
 
 
The cost is:
 
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