1.  For graph defined by G = (V,E), |E| If the value is less than |V |^2, these graphs are ...... called.. 2. For graph defined by G = (V,E), |E| If the value is close |V |^2, these graphs are ...... called. 3. If displayed using graph adjacency list defined by G = (V,E) …….space, if represented by adjacency matrix........... requires space.

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
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1.  For graph defined by G = (V,E), |E| If the value is less than |V |^2, these graphs are ...... called..

2. For graph defined by G = (V,E), |E| If the value is close |V |^2, these graphs are ...... called.

3. If displayed using graph adjacency list defined by G = (V,E) …….space, if represented by adjacency matrix........... requires space.

4. When disjoint-sets are performed as a linked-list using a pointer from each node to the cluster representative (header node), the findSet operation, which finds which element belongs to which cluster, is the worst (worst case) ............ time, the worst case (worst case) is the union operation that combines the sets of two given elements ............ time requires (total number of elements is n.).

5.  In the previous question, if the union operation is done according to the cluster size, that is, if the small cluster is combined with the large cluster (weighted union heuristic), the union operation requires the worst case (worst case) ........... time.

6. Again, for the linked list data structure in question 4, n-1 union operations; if done according to cluster size (weighted-union heuristic) worst case overall (worst case) ............ , if not done worst in total ............ it takes time (note that the total value is requested.).

 

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