Our CS team covers the complete range of data structures taught across undergraduate and postgraduate computer science programmes. Every implementation includes correct edge case handling, proper memory management where relevant (particularly in C and C++), and full time and space complexity analysis.
Linear Data Structures
Array based assignments cover static and dynamic arrays, multidimensional arrays, array rotation, sliding window problems, and prefix sum techniques. Linked list assignments are among the most common and most commonly broken our implementations handle singly linked lists, doubly linked lists, and circular linked lists correctly for all standard operations (insertion at head, tail, and arbitrary position; deletion by value and by position; reversal; cycle detection using Floyd's tortoise and hare algorithm; and merging sorted lists). Stack and queue implementations cover array backed and linked list backed variants, the monotonic stack pattern used in next greater element problems, and the deque (double ended queue) for sliding window maximum problems. Priority queue assignments use the binary heap as the underlying structure, with correct heapify up and heapify down operations and O(log n) insert and extract min/max.
Tree Data Structures
Tree assignments span the widest difficulty range of any data structure topic. Binary search tree assignments require correct insertion, deletion (handling all three cases: leaf node, one child, two children using in order successor), and all four traversal orders (in order, pre order, post order, level order). Self balancing tree assignments AVL trees and Red Black trees require correct implementation of all rotation cases and rebalancing logic after insertion and deletion. B tree assignments at postgraduate level require understanding of the multi way search property, node splitting on insertion, and merging on deletion. Trie implementations cover prefix matching, autocomplete, and word search applications. Segment trees and Fenwick trees (Binary Indexed Trees) appear in competitive programming and algorithms modules and are covered by our specialists. Heap-based assignments cover min-heaps, max-heaps, and the heap sort algorithm derived from them.
Graph Data Structures and Algorithms
Graph assignments require understanding of both representation (adjacency matrix versus adjacency list and the trade offs between them) and traversal. Depth first search and breadth first search implementations must handle disconnected graphs correctly and track visited nodes to avoid revisiting. Shortest path algorithms Dijkstra's algorithm for non negative weighted graphs using a priority queue, Bellman Ford for graphs with negative weights and negative cycle detection require careful implementation of the relaxation step and correct termination conditions. Minimum spanning tree algorithms Kruskal's using a disjoint set (union find) data structure, Prim's using a priority queue are commonly set as stand alone assignments or as components of larger graph projects. Topological sort for directed acyclic graphs (Kahn's algorithm and the DFS based approach), strongly connected components (Kosaraju's and Tarjan's algorithms), and maximum flow (Ford-Fulkerson, Edmonds-Karp) are covered for advanced modules.
Hashing and Hash Tables
Hash table assignments require implementing the hash function, choosing a collision resolution strategy (chaining with linked lists, open addressing with linear probing, quadratic probing, or double hashing), and maintaining the load factor with dynamic resizing. The analysis must explain why the chosen strategy behaves correctly for the expected input distribution and what degenerates performance toward O(n) in the worst case. Applications of hashing finding duplicates in O(n) time, two-sum problems, frequency counting, substring matching using Rabin Karp rolling hash are covered for algorithm focused assignments.
Algorithms We Implement
š Sorting Algorithms Bubble, insertion, selection, merge sort, quicksort (with pivot selection variants), heap sort, counting sort, radix sort, and bucket sort with stability analysis and Big O derivation for each. | š Searching Algorithms Linear search, binary search (iterative and recursive), interpolation search, and exponential search with correct handling of sorted/unsorted input and duplicate elements. | š Graph Algorithms DFS, BFS, Dijkstra, Bellman Ford, Floyd Warshall, Kruskal, Prim, topological sort, SCC (Kosaraju, Tarjan), and max flow (Ford Fulkerson, Edmonds Karp). |
ā” Dynamic Programming Knapsack (0/1 and unbounded), longest common subsequence, longest increasing subsequence, matrix chain multiplication, coin change, edit distance, and DP on trees and graphs. | š Divide and Conquer Merge sort, quicksort, binary search, Strassen's matrix multiplication, closest pair of points with full recurrence relation derivation using the master theorem. | šÆ Greedy Algorithms Activity selection, Huffman coding, fractional knapsack, job scheduling, and interval scheduling with correctness proof (exchange argument or induction) where required. |
š¢ String Algorithms KMP pattern matching, Rabin-Karp rolling hash, Z-algorithm, suffix arrays, and trie based string matching for modules covering advanced string processing. | š Complexity Analysis Full Big O, Omega, and Theta analysis for every algorithm. Amortised analysis, recurrence relations, master theorem application, and space complexity with auxiliary space distinction. | |