Following is the  table of pairwise Euclidean distances between  5 data points   a b c d e a 0         b 9 0       c 3 7 0     d 6 5 9 0   e 11 10 2 8 0 Assuming we are using single-linkage ( min distance ) for hierarchical clustering. The order in which the clusters will be formed is:   Group of answer choices a. Points b and d are merged first to form cluster {b, d}.Then point a is incorporated into cluster {b, d}. Then points c and e are merged into {c, e}. Finally, clusters {b, d, a} and {c, e} are merged.   b. Points c and e are merged first to form cluster {c, e}.Then point b is incorporated into cluster {c, e}. Then points a and d are merged into {a, d}. Finally, clusters {c, e, b} and {a, d} are merged.   c. Points c and e are merged first to form cluster {c, e}.Then point a is incorporated into cluster {c, e}. Then points b and d are merged into {b, d}. Finally, clusters {c, e, a} and {b, d} are merged.   d. Points b and d are merged first to form cluster {b, d}.Then point c is incorporated into cluster {b, d}. Then points a and e are merged into {a, e}. Finally, clusters {b, d, c} and {a, e} are merged.

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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Following is the  table of pairwise Euclidean distances between  5 data points

  a b c d e
a 0        
b 9 0      
c 3 7 0    
d 6 5 9 0  
e 11 10 2 8 0

Assuming we are using single-linkage ( min distance ) for hierarchical clustering.

The order in which the clusters will be formed is:

 

Group of answer choices
a. Points b and d are merged first to form cluster {b, d}.Then point a is incorporated into cluster {b, d}. Then points c and e are merged into {c, e}. Finally, clusters {b, d, a} and {c, e} are merged.
 
b. Points c and e are merged first to form cluster {c, e}.Then point b is incorporated into cluster {c, e}. Then points a and d are merged into {a, d}. Finally, clusters {c, e, b} and {a, d} are merged.
 
c. Points c and e are merged first to form cluster {c, e}.Then point a is incorporated into cluster {c, e}. Then points b and d are merged into {b, d}. Finally, clusters {c, e, a} and {b, d} are merged.
 
d. Points b and d are merged first to form cluster {b, d}.Then point c is incorporated into cluster {b, d}. Then points a and e are merged into {a, e}. Finally, clusters {b, d, c} and {a, e} are merged.
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