Categories: Computers & Internet

Linked Lists – Data Structures and Algorithms

Linked lists can be thought of from a high level perspective as being a series
of nodes. Each node has at least a single pointer to the next node, and in the
last node’s case a null pointer representing that there are no more nodes in the
linked list.
In DSA our implementations of linked lists always maintain head and tail
pointers so that insertion at either the head or tail of the list is a constant
time operation. Random insertion is excluded from this and will be a linear
operation. As such, linked lists in DSA have the following characteristics:

Insertion is O(1)
2. Deletion is O(n)
3. Searching is O(n)

Out of the three operations the one that stands out is that of insertion. In
DSA we chose to always maintain pointers (or more aptly references) to the
node(s) at the head and tail of the linked list and so performing a traditional
insertion to either the front or back of the linked list is an O(1) operation. An
exception to this rule is performing an insertion before a node that is neither
the head nor tail in a singly linked list. When the node we are inserting before
is somewhere in the middle of the linked list (known as random insertion) the
complexity is O(n). In order to add before the designated node we need to
traverse the linked list to ¯nd that node’s current predecessor. This traversal
yields an O(n) run time.

This data structure is trivial, but linked lists have a few key points which at
times make them very attractive:
1. the list is dynamically resized, thus it incurs no copy penalty like an array
or vector would eventually incur; and
2. insertion is O(1).

In the next study w Singly Linked List

so let’s chek out my post freinds we will explain with diagram for DSA

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  • Khushal Sharma

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