Which of the following is true about deleting a key-value pair from a hash table that uses separate chaining to resolve collisions?

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BlackTom AI · Accepted Answer

The question asks about deleting a key-value pair from a hash table that uses separate chaining for collision resolution. 
Option A: 'Deleting from the hash table can be done with simple linked-list node deletion, and no rehashing is required.' In a separate chaining scheme, each bucket contains a linked list of entries. To delete a specific key, you locate the appropriate bucket and remove the node from its linked list by updating pointers. Since removal of a node does not affect the distribution of other keys across buckets, rehashing is not needed. This statement aligns with the standard operation for deletions in separate chaining. 
Option B: 'After deletion, only the keys after the given node must be rehashed.' Rehashing would imply recomputing bucket indices for keys, which is unnecessary in separate chaining because each key’s bucket is determined by its own hash value, not by adjacency in the list. Deleting a node does not require rehashing the remaining nodes. This makes B misleading. 
Option C: 'After deletion, all keys must be rehashed.' This claims a global rehashing is required after any deletion, which is false for separate chaining; rehashing is typically thought of in the context of resizing the table or redistributing after a load factor change, not simply deleting a node. 
Option D: 'Deleting can take O(N^2)-time in the worst case when there are N elements in the hash table.' In separate chaining, deletion in a bucket is proportional to the length of that bucket’s list; the worst-case time for a single deletion is O(k) where k is the number of elements in that bucket, which in the worst case is O(N) if all elements collide into one bucket. However, O(N^2) would imply repeated linear-factor operations within a loop, which is not the standard characterization of a single delete operation. This makes D inaccurate for describing the typical deletion cost. 
Overall, the reasoning for each option emphasizes the mechanics of linked-list deletion within a bucket and clarifies why rehashing is not required, while also correcting common misconceptions about rehashing and time complexity in this context.

2025W Quiz 5 (copy)

Which of the following is true about deleting a key-value pair from a hash table that uses separate chaining to resolve collisions?

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2025W Quiz 5 (copy)

Which of the following is true about deleting a key-value pair from a hash table that uses separate chaining to resolve collisions?

查看解析

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类似问题

Consider an implementation of a hash table with linear probing where the hash function runs in constant time and the cost of comparison is also constant. What is the best-case time complexity of the __getitem__ method? Consider n is the number of items in the hash table.

Which is TRUE?

What is the best case time complexity of deleting a key from a linear probe table?

Question at position 2 About how many steps would be needed when searching for a particular key in a hash map with 1000 nodes?1000150010

HT_Rev_6 A key 48 is to be inserted into a hash table using the hash function h(k)=k mod 10, open addressing, and linear probing for collision handling. Given the current state of the hash table below, where will key 48 be stored?​ ​

HTables_3 Double hashing is a form of open addressing.

HTables_8 During open addressing, if the number of probes exceeds 1, expected run time complexity of the hash table becomes O(____). (number of probes = k, size of table =n)

更多留学生实用工具

希望你的学习变得更简单

Consider an implementation of a hash table with linear probing where the hash function runs in constant time and the cost of comparison is also constant. What is the best-case time complexity of the getitem method? Consider n is the number of items in the hash table.

HT_Rev_6 A key 48 is to be inserted into a hash table using the hash function h(k)=k mod 10, open addressing, and linear probing for collision handling. Given the current state of the hash table below, where will key 48 be stored?