What are the main linked list-based data structures used in computational theory?

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What are the main linked list-based data structures used in computational theory?

In computational theory, there are several main linked list-based data structures that are commonly used. These include:

1. Singly Linked List: This is the simplest form of a linked list where each node contains a data element and a reference (or link) to the next node in the list. It allows for efficient insertion and deletion at the beginning or end of the list, but accessing elements in the middle requires traversing the list sequentially.

2. Doubly Linked List: In a doubly linked list, each node contains a reference to both the next and previous nodes in the list. This allows for efficient traversal in both directions, enabling easier insertion and deletion operations at any position in the list compared to a singly linked list.

3. Circular Linked List: A circular linked list is similar to a singly linked list, but the last node's reference points back to the first node, forming a circular structure. This allows for continuous traversal of the list without reaching the end, making it useful in certain scenarios such as implementing circular buffers or round-robin scheduling algorithms.

4. Skip List: A skip list is a probabilistic data structure that uses multiple layers of linked lists to provide efficient search operations. Each layer is a linked list where nodes at higher levels skip over several elements in the lower levels, reducing the number of comparisons required during search operations. Skip lists are commonly used to achieve logarithmic time complexity for search, insertion, and deletion operations.

These linked list-based data structures are fundamental building blocks in computational theory and find applications in various algorithms and data processing tasks.