Data Structures Demystified: A Beginner’s Journey

Create and link nodes in a singly linked list by dynamically allocating memory, initializing data, and setting next pointers. Update the head and links to form a multi-node list.

Learn insertion at the beginning in a singly linked list by setting the new node's next to the head, then updating the head. See related insertions at other positions.

Explore the stack, a linear data structure with last-in, first-out behavior, its push, pop, and peek operations, and its use in string reversal, undo, and infix-postfix conversions.

Implement stacks with arrays and linked lists, including static and dynamic memory. Master push, pop, peek, display, overflow, underflow, and time complexities.

Explore tree terminologies, including root, edges, parent and child, degree, leaves, siblings, height, depth, subtree and path, plus array or linked list representations in binary and complete binary trees.

Explore how collisions arise when multiple keys share a hash value and learn separate chaining, an open hashing approach using a linked list in the hash table to resolve them.

Demystify open addressing collision resolution with linear probing. Apply hash(key) mod m and probe i steps (0-9) to place keys like 89, 18, 49, and 58.

Explain how double hashing resolves collisions in addressing using two hash functions u and v, via the probe sequence (u + i v) mod m, with r as a prime.

Explore graphs as non-linear data structures with vertices and edges, differentiate undirected and directed graphs, and learn representations via adjacency matrix and adjacency list, including in-degree and out-degree.

Learn Prim's algorithm for constructing a minimum spanning tree by starting at a vertex, expanding through smallest edges, avoiding cycles, and computing the minimum spanning tree cost.