Data Structures: Knowledge Base

CS201 • Prof. Adrian Popescu • Fall Semester

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Canonical Materials

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Introduction to Algorithms (Cormen)

Syllabus Core • Cited 42x

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Lecture 04: Hash Tables

Week 2 • Cited 15x

Supplementary

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BST_Implementation.cpp

Lab 3 Handout • Cited 8x

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Graph Traversal Slides

PPTX • Uncited

Can you explain how collision resolution works in hash tables specifically using linear probing, based on the course materials?

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Based on the provided course materials, linear probing is a collision resolution strategy used in open addressing for hash tables.

When a key hashes to an index that is already occupied, linear probing sequentially searches the hash table array for the next available empty slot, wrapping around to the beginning if the end of the array is reached [1].

The formula for determining the sequence of slots examined is: h(k, i) = (h'(k) + i) mod m, where i = 0, 1, ..., m-1 [2].

Note on Primary Clustering: The lecture slides emphasize that while linear probing is easy to implement, it suffers from a phenomenon known as "primary clustering," where long runs of occupied slots build up, increasing the average search time [3].

[1] Intro to Algorithms, p. 272
[2] Lecture 04: Hash Tables, Slide 14
[3] Lecture 04: Hash Tables, Slide 16