# ssn2025/data-structure-and-algorithms architecture

> Architecture diagram of the GitHub repository ssn2025/data-structure-and-algorithms, generated by GitDiagram from its file tree, README and a sample of source files (last updated 2026-09-27). It is an AI-made overview: check details against the source.

- Interactive diagram: https://gitdiagram.com/ssn2025/data-structure-and-algorithms
- Repository: https://github.com/ssn2025/data-structure-and-algorithms

## Overview

This repository is a collection of algorithm examples, not a single application: its README is empty, and the files cover independent algorithms rather than a shared user-to-result workflow. The main areas are graph algorithms, divide-and-conquer, and greedy methods. Sampled source shows standalone examples and implementations, but no common entry point or cross-module calls; the graph therefore groups the algorithms without implying a runtime pipeline. Several graph algorithms are represented by notebooks whose contents were not sampled.

## Diagram (Mermaid)

```mermaid
flowchart TD

subgraph group_divide["Divide and Conquer"]
  node_maxmin["Max-Min<br/>[max_min.cpp]"]
  node_naive["Naive Multiply<br/>[Naive.py]"]
  node_karatsuba["Karatsuba Multiply<br/>[Karatsuba.py]"]
  node_fft["FFT Multiply"]
  node_mergesort["Merge Sort<br/>[MergeSort.ipynb]"]
  node_quicksort["Randomized Quicksort"]
end

subgraph group_graphs["Graph Algorithms"]
  node_bfs["BFS<br/>[bfs.ipynb]"]
  node_dfs["DFS<br/>[dfs.ipynb]"]
  node_kirchhoff["Kirchhoff Spanning Trees"]
  node_kruskal["Kruskal"]
  node_prim["Prim"]
  node_primheap["Prim with Heap"]
  node_kahn["Kahn Topological Sort"]
  node_bellmanford["Bellman-Ford<br/>[bellman ford.ipynb]"]
  node_dijkstra["Dijkstra"]
end

subgraph group_greedy["Greedy Algorithms"]
  node_knapsack["Greedy Knapsack<br/>[KnapsackProblem.py]"]
end

subgraph group_coding["Coding"]
  node_huffman["Huffman Coding<br/>[HuffmanCoding.py]"]
end

click node_maxmin "https://github.com/ssn2025/data-structure-and-algorithms/blob/main/Divide%20and%20conquer/max_min.cpp"
click node_naive "https://github.com/ssn2025/data-structure-and-algorithms/blob/main/Divide%20and%20conquer/PolynomialMultiplication/Naive.py"
click node_karatsuba "https://github.com/ssn2025/data-structure-and-algorithms/blob/main/Divide%20and%20conquer/PolynomialMultiplication/Karatsuba.py"
click node_fft "https://github.com/ssn2025/data-structure-and-algorithms/blob/main/Divide%20and%20conquer/PolynomialMultiplication/fftmultiplication.cpp"
click node_mergesort "https://github.com/ssn2025/data-structure-and-algorithms/blob/main/Divide%20and%20conquer/Sorting/MergeSort.ipynb"
click node_quicksort "https://github.com/ssn2025/data-structure-and-algorithms/blob/main/Divide%20and%20conquer/Sorting/RandomizedQuicksort_incomplete.py"
click node_bfs "https://github.com/ssn2025/data-structure-and-algorithms/blob/main/Graphs/Search/bfs.ipynb"
click node_dfs "https://github.com/ssn2025/data-structure-and-algorithms/blob/main/Graphs/Search/dfs.ipynb"
click node_kirchhoff "https://github.com/ssn2025/data-structure-and-algorithms/blob/main/Graphs/SpanningTree/Kirchoff's%20Theorem%20for%20number%20of%20spanning%20tree.ipynb"
click node_kruskal "https://github.com/ssn2025/data-structure-and-algorithms/blob/main/Graphs/SpanningTree/Krushkal's%20Algo.ipynb"
click node_prim "https://github.com/ssn2025/data-structure-and-algorithms/blob/main/Graphs/SpanningTree/Prim's%20Algorithm.ipynb"
click node_primheap "https://github.com/ssn2025/data-structure-and-algorithms/blob/main/Graphs/SpanningTree/Prims_Algorithm%20using%20heap.ipynb"
click node_kahn "https://github.com/ssn2025/data-structure-and-algorithms/blob/main/Graphs/Topological_Sort/Kahn's_Algorithm.ipynb"
click node_bellmanford "https://github.com/ssn2025/data-structure-and-algorithms/blob/main/Graphs/single%20source%20Shortest%20Path/bellman%20ford.ipynb"
click node_dijkstra "https://github.com/ssn2025/data-structure-and-algorithms/blob/main/Graphs/single%20source%20Shortest%20Path/dijkstra's%20algo.ipynb"
click node_knapsack "https://github.com/ssn2025/data-structure-and-algorithms/blob/main/Greedy/KnapsackProblem.py"
click node_huffman "https://github.com/ssn2025/data-structure-and-algorithms/blob/main/HuffmanCoding.py"

classDef toneNeutral fill:#f8fafc,stroke:#334155,stroke-width:1.5px,color:#0f172a
classDef toneBlue fill:#dbeafe,stroke:#2563eb,stroke-width:1.5px,color:#172554
classDef toneAmber fill:#fef3c7,stroke:#d97706,stroke-width:1.5px,color:#78350f
classDef toneMint fill:#dcfce7,stroke:#16a34a,stroke-width:1.5px,color:#14532d
classDef toneRose fill:#ffe4e6,stroke:#e11d48,stroke-width:1.5px,color:#881337
classDef toneIndigo fill:#e0e7ff,stroke:#4f46e5,stroke-width:1.5px,color:#312e81
classDef toneTeal fill:#ccfbf1,stroke:#0f766e,stroke-width:1.5px,color:#134e4a
class node_maxmin,node_naive,node_karatsuba,node_fft,node_mergesort,node_quicksort toneBlue
class node_bfs,node_dfs,node_kirchhoff,node_kruskal,node_prim,node_primheap,node_kahn,node_bellmanford,node_dijkstra toneAmber
class node_knapsack toneMint
class node_huffman toneRose
```

## Components

### Divide and Conquer

- [Max-Min](https://github.com/ssn2025/data-structure-and-algorithms/blob/main/Divide%20and%20conquer/max_min.cpp): `Divide and conquer/max_min.cpp`
- [Naive Multiply](https://github.com/ssn2025/data-structure-and-algorithms/blob/main/Divide%20and%20conquer/PolynomialMultiplication/Naive.py): `Divide and conquer/PolynomialMultiplication/Naive.py`
- [Karatsuba Multiply](https://github.com/ssn2025/data-structure-and-algorithms/blob/main/Divide%20and%20conquer/PolynomialMultiplication/Karatsuba.py): `Divide and conquer/PolynomialMultiplication/Karatsuba.py`
- [FFT Multiply](https://github.com/ssn2025/data-structure-and-algorithms/blob/main/Divide%20and%20conquer/PolynomialMultiplication/fftmultiplication.cpp): `Divide and conquer/PolynomialMultiplication/fftmultiplication.cpp`
- [Merge Sort](https://github.com/ssn2025/data-structure-and-algorithms/blob/main/Divide%20and%20conquer/Sorting/MergeSort.ipynb): `Divide and conquer/Sorting/MergeSort.ipynb`
- [Randomized Quicksort](https://github.com/ssn2025/data-structure-and-algorithms/blob/main/Divide%20and%20conquer/Sorting/RandomizedQuicksort_incomplete.py): `Divide and conquer/Sorting/RandomizedQuicksort_incomplete.py`

### Graph Algorithms

- [BFS](https://github.com/ssn2025/data-structure-and-algorithms/blob/main/Graphs/Search/bfs.ipynb): `Graphs/Search/bfs.ipynb`
- [DFS](https://github.com/ssn2025/data-structure-and-algorithms/blob/main/Graphs/Search/dfs.ipynb): `Graphs/Search/dfs.ipynb`
- [Kirchhoff Spanning Trees](https://github.com/ssn2025/data-structure-and-algorithms/blob/main/Graphs/SpanningTree/Kirchoff's%20Theorem%20for%20number%20of%20spanning%20tree.ipynb): `Graphs/SpanningTree/Kirchoff's Theorem for number of spanning tree.ipynb`
- [Kruskal](https://github.com/ssn2025/data-structure-and-algorithms/blob/main/Graphs/SpanningTree/Krushkal's%20Algo.ipynb): `Graphs/SpanningTree/Krushkal's Algo.ipynb`
- [Prim](https://github.com/ssn2025/data-structure-and-algorithms/blob/main/Graphs/SpanningTree/Prim's%20Algorithm.ipynb): `Graphs/SpanningTree/Prim's Algorithm.ipynb`
- [Prim with Heap](https://github.com/ssn2025/data-structure-and-algorithms/blob/main/Graphs/SpanningTree/Prims_Algorithm%20using%20heap.ipynb): `Graphs/SpanningTree/Prims_Algorithm using heap.ipynb`
- [Kahn Topological Sort](https://github.com/ssn2025/data-structure-and-algorithms/blob/main/Graphs/Topological_Sort/Kahn's_Algorithm.ipynb): `Graphs/Topological_Sort/Kahn's_Algorithm.ipynb`
- [Bellman-Ford](https://github.com/ssn2025/data-structure-and-algorithms/blob/main/Graphs/single%20source%20Shortest%20Path/bellman%20ford.ipynb): `Graphs/single source Shortest Path/bellman ford.ipynb`
- [Dijkstra](https://github.com/ssn2025/data-structure-and-algorithms/blob/main/Graphs/single%20source%20Shortest%20Path/dijkstra's%20algo.ipynb): `Graphs/single source Shortest Path/dijkstra's algo.ipynb`

### Greedy Algorithms

- [Greedy Knapsack](https://github.com/ssn2025/data-structure-and-algorithms/blob/main/Greedy/KnapsackProblem.py): `Greedy/KnapsackProblem.py`

### Coding

- [Huffman Coding](https://github.com/ssn2025/data-structure-and-algorithms/blob/main/HuffmanCoding.py): `HuffmanCoding.py`