@sivarajans/hash-table

Hash table - Seperate chaining, Open addressing (linear probing, quadratic probing, double hashing)

Usage no npm install needed!

<script type="module">
  import sivarajansHashTable from 'https://cdn.skypack.dev/@sivarajans/hash-table';
</script>

README

HashTable

It is a way to order data in memory using the hash function and key.

Hash(x) - is a hash function, x is a key. P(x) - is a probe function to fix when same index found - used only in Open Addressing.

Same key fix options

  1. Seperate Chaining Using one of data structure to add more elements in same key - here we will use linked list.

  2. Open Addressing [NOT PROVIDED IN THE SOLUTION]

    Open addressing searches for free index in array and fill it. There are 3 options available here.

    a. Linear probing for ex: ax + b (a & b are constants)

    b. Quadratic probing for ex: ax2 + bx + c (a, b, c are constants)

    c. Double hashing for ex: h1(x) + h2(y) (h1 & h2 are hashing on key and result respectively)

Ways to eliminate cycles.

Maintain Greatest Common Denominator(N, a) = 1 where N - total elements, a - constant in h(x) = ax and Prime Numbers.

Load Factor = a / N when load factor reaches its limit, hastable needs to be resized to next set of prime numbers and values should get refilled to maintain order.

Installation

npm i @sivarajans/hash-table Note - only seperate chaining available in this module