Hashing Fundamentals 1 Hash Functions Hashing maps data to a unique fixed-size value or "hash code" using a hash function. 2 Hash Tables Data is stored in hash tables and accessed by its hash code, providing constant-time lookup. 3 Collisions Collisions occur when different inputs map to the same hash code, leading to performance issues.
Limitations of Traditional Hashing Fixed Size Traditional hash tables have a fixed size, limiting their ability to adapt to changing data volumes. Collisions Collisions can lead to performance degradation as the hash table fills up. Resizing Resizing a hash table is an expensive operation, requiring rehashing of all existing data.
Extendable Hashing Concept 1 Dynamic Directories Extendable hashing uses a dynamic directory structure to handle growing data volumes. 2 Adaptive Bucket Size Bucket sizes are adjusted based on data distribution, avoiding performance issues. 3 Efficient Scaling The hash table can be expanded or contracted as needed, without the need for rehashing.
Extendable Hashing Structure Global Depth Indicates the maximum number of bits used to index the directory. Local Depth Specifies the number of significant bits used to index each bucket. Buckets Data is stored in variable-sized buckets, with the number of buckets dynamically adjusted.
Extendable Hashing Operations Insertion New data is hashed and stored in the appropriate bucket. Splitting Buckets are split when they reach capacity, updating the directory structure. Searching Data is efficiently located using the dynamic directory and bucket structure.
Advantages of Extendable Hashing Scalability Extendable hashing can dynamically adapt to changes in data volume. Performance Efficient data storage and retrieval, with minimal collisions and rehashing. Flexibility The hashing structure can be easily adjusted to suit the data distribution.
Conclusion and Applications Extendable hashing is a powerful technique that addresses the limitations of traditional hashing. It has wide-ranging applications in database management, caching systems, and other data-intensive domains that require efficient and scalable data storage and retrieval.