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size](https://img.shields.io/bundlephobia/minzip/undirected-graph-typed)\n![npm bundle size](https://img.shields.io/bundlephobia/min/undirected-graph-typed)\n![npm](https://img.shields.io/npm/v/undirected-graph-typed)\n\n# What\n\n## Brief\n\nThis is a standalone Undirected Graph data structure from the data-structure-typed collection. If you wish to access\nmore data structures or advanced features, you can transition to directly installing the\ncomplete [data-structure-typed](https://www.npmjs.com/package/data-structure-typed) package\n\n# How\n\n## install\n\n### npm\n\n```bash\nnpm i undirected-graph-typed --save\n```\n\n### yarn\n\n```bash\nyarn add undirected-graph-typed\n```\n\n### snippet\n\n\n[//]: # (No deletion!!! Start of Example Replace Section)\n\n### basic UndirectedGraph vertex and edge creation\n```typescript\n // Create a simple undirected graph\n    const graph = new UndirectedGraph<string>();\n\n    // Add vertices\n    graph.addVertex('A');\n    graph.addVertex('B');\n    graph.addVertex('C');\n    graph.addVertex('D');\n\n    // Verify vertices exist\n    console.log(graph.hasVertex('A')); // true;\n    console.log(graph.hasVertex('B')); // true;\n    console.log(graph.hasVertex('E')); // false;\n\n    // Check vertex count\n    console.log(graph.size); // 4;\n```\n\n### UndirectedGraph edge operations (bidirectional)\n```typescript\n const graph = new UndirectedGraph<string>();\n\n    // Add vertices\n    graph.addVertex('A');\n    graph.addVertex('B');\n    graph.addVertex('C');\n\n    // Add undirected edges (both directions automatically)\n    graph.addEdge('A', 'B', 1);\n    graph.addEdge('B', 'C', 2);\n    graph.addEdge('A', 'C', 3);\n\n    // Verify edges exist in both directions\n    console.log(graph.hasEdge('A', 'B')); // true;\n    console.log(graph.hasEdge('B', 'A')); // true; // Bidirectional!\n\n    console.log(graph.hasEdge('C', 'B')); // true;\n    console.log(graph.hasEdge('B', 'C')); // true; // Bidirectional!\n\n    // Get neighbors of A\n    const neighborsA = graph.getNeighbors('A');\n    console.log(neighborsA[0].key); // 'B';\n    console.log(neighborsA[1].key); // 'C';\n```\n\n### UndirectedGraph for social network connectivity analysis\n```typescript\n interface Person {\n      id: number;\n      name: string;\n      location: string;\n    }\n\n    // UndirectedGraph is perfect for modeling symmetric relationships\n    // (friendships, collaborations, partnerships)\n    const socialNetwork = new UndirectedGraph<number, Person>();\n\n    // Add people as vertices\n    const people: [number, Person][] = [\n      [1, { id: 1, name: 'Alice', location: 'New York' }],\n      [2, { id: 2, name: 'Bob', location: 'San Francisco' }],\n      [3, { id: 3, name: 'Charlie', location: 'Boston' }],\n      [4, { id: 4, name: 'Diana', location: 'New York' }],\n      [5, { id: 5, name: 'Eve', location: 'Seattle' }]\n    ];\n\n    for (const [id] of people) {\n      socialNetwork.addVertex(id);\n    }\n\n    // Add friendships (automatically bidirectional)\n    socialNetwork.addEdge(1, 2, 1); // Alice <-> Bob\n    socialNetwork.addEdge(1, 3, 1); // Alice <-> Charlie\n    socialNetwork.addEdge(2, 4, 1); // Bob <-> Diana\n    socialNetwork.addEdge(3, 5, 1); // Charlie <-> Eve\n    socialNetwork.addEdge(4, 5, 1); // Diana <-> Eve\n\n    console.log(socialNetwork.size); // 5;\n\n    // Find direct connections for Alice\n    const aliceConnections = socialNetwork.getNeighbors(1);\n    console.log(aliceConnections[0].key); // 2;\n    console.log(aliceConnections[1].key); // 3;\n    console.log(aliceConnections.length); // 2;\n\n    // Verify bidirectional connections\n    console.log(socialNetwork.hasEdge(1, 2)); // true;\n    console.log(socialNetwork.hasEdge(2, 1)); // true; // Friendship works both ways!\n\n    // Remove a person from network\n    socialNetwork.deleteVertex(2); // Bob leaves\n    console.log(socialNetwork.hasVertex(2)); // false;\n    console.log(socialNetwork.size); // 4;\n\n    // Alice loses Bob as a friend\n    const updatedAliceConnections = socialNetwork.getNeighbors(1);\n    console.log(updatedAliceConnections[0].key); // 3;\n    console.log(updatedAliceConnections[1]); // undefined;\n\n    // Diana loses Bob as a friend\n    const dianaConnections = socialNetwork.getNeighbors(4);\n    console.log(dianaConnections[0].key); // 5;\n    console.log(dianaConnections[1]); // undefined;\n```\n\n[//]: # (No deletion!!! End of Example Replace Section)\n\n\n\n## API docs & Examples\n\n[API Docs](https://data-structure-typed-docs.vercel.app)\n\n[Live Examples](https://vivid-algorithm.vercel.app)\n\n<a href=\"https://github.com/zrwusa/vivid-algorithm\" target=\"_blank\">Examples Repository</a>\n\n## Data Structures\n\n<table>\n<thead>\n<tr>\n<th>Data Structure</th>\n<th>Unit Test</th>\n<th>Performance Test</th>\n<th>API Docs</th>\n</tr>\n</thead>\n<tbody>\n\n<tr>\n<td>Undirected Graph</td>\n<td><img src=\"https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg\" alt=\"\"></td>\n<td><img src=\"https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg\" alt=\"\"></td>\n<td><a href=\"https://data-structure-typed-docs.vercel.app/classes/UndirectedGraph.html\"><span>UndirectedGraph</span></a></td>\n</tr>\n\n</tbody>\n</table>\n\n## Standard library data structure comparison\n\n<table>\n  <thead>\n  <tr>\n    <th>Data Structure Typed</th>\n    <th>C++ STL</th>\n    <th>java.util</th>\n    <th>Python collections</th>\n  </tr>\n  </thead>\n  <tbody>\n  \n  <tr>\n    <td>UndirectedGraph&lt;V, E&gt;</td>\n    <td>-</td>\n    <td>-</td>\n    <td>-</td>\n  </tr>\n \n  </tbody>\n</table>\n\n## Benchmark\n\n[//]: # (No deletion!!! Start of Replace Section)\n\n\n[//]: # (No deletion!!! End of Replace Section)\n\n## Built-in classic algorithms\n\n<table>\n  <thead>\n  <tr>\n    <th>Algorithm</th>\n    <th>Function Description</th>\n    <th>Iteration Type</th>\n  </tr>\n  </thead>\n  <tbody>\n \n  <tr>\n    <td>Graph DFS</td>\n    <td>Traverse a graph in a depth-first manner, starting from a given node, exploring along one path as deeply as\n      possible, and backtracking to explore other paths. Used for finding connected components, paths, etc.\n    </td>\n    <td>Recursion + Iteration</td>\n  </tr>\n  <tr>\n    <td>Graph BFS</td>\n    <td>Traverse a graph in a breadth-first manner, starting from a given node, first visiting nodes directly connected\n      to the starting node, and then expanding level by level. Used for finding shortest paths, etc.\n    </td>\n    <td>Recursion + Iteration</td>\n  </tr>\n  <tr>\n    <td>Graph Tarjan's Algorithm</td>\n    <td>Find strongly connected components in a graph, typically implemented using depth-first search.</td>\n    <td>Recursion</td>\n  </tr>\n  <tr>\n    <td>Graph Bellman-Ford Algorithm</td>\n    <td>Finding the shortest paths from a single source, can handle negative weight edges</td>\n    <td>Iteration</td>\n  </tr>\n  <tr>\n    <td>Graph Dijkstra's Algorithm</td>\n    <td>Finding the shortest paths from a single source, cannot handle negative weight edges</td>\n    <td>Iteration</td>\n  </tr>\n  <tr>\n    <td>Graph Floyd-Warshall Algorithm</td>\n    <td>Finding the shortest paths between all pairs of nodes</td>\n    <td>Iteration</td>\n  </tr>\n  <tr>\n    <td>Graph getCycles</td>\n    <td>Find all cycles in a graph or detect the presence of cycles.</td>\n    <td>Recursion</td>\n  </tr>\n  <tr>\n    <td>Graph getCutVertexes</td>\n    <td>Find cut vertices in a graph, which are nodes that, when removed, increase the number of connected components in\n      the graph.\n    </td>\n    <td>Recursion</td>\n  </tr>\n  <tr>\n    <td>Graph getSCCs</td>\n    <td>Find strongly connected components in a graph, which are subgraphs where any two nodes can reach each other.\n    </td>\n    <td>Recursion</td>\n  </tr>\n  <tr>\n    <td>Graph getBridges</td>\n    <td>Find bridges in a graph, which are edges that, when removed, increase the number of connected components in the\n      graph.\n    </td>\n    <td>Recursion</td>\n  </tr>\n  <tr>\n    <td>Graph topologicalSort</td>\n    <td>Perform topological sorting on a directed acyclic graph (DAG) to find a linear order of nodes such that all\n      directed edges go from earlier nodes to later nodes.\n    </td>\n    <td>Recursion</td>\n  </tr>\n  </tbody>\n</table>\n\n## Software Engineering Design Standards\n<table>\n    <tr>\n        <th>Principle</th>\n        <th>Description</th>\n    </tr>\n    <tr>\n        <td>Practicality</td>\n        <td>Follows ES6 and ESNext standards, offering unified and considerate optional parameters, and simplifies method names.</td>\n    </tr>\n    <tr>\n        <td>Extensibility</td>\n        <td>Adheres to OOP (Object-Oriented Programming) principles, allowing inheritance for all data structures.</td>\n    </tr>\n    <tr>\n        <td>Modularization</td>\n        <td>Includes data structure modularization and independent NPM packages.</td>\n    </tr>\n    <tr>\n        <td>Efficiency</td>\n        <td>All methods provide time and space complexity, comparable to native JS performance.</td>\n    </tr>\n    <tr>\n        <td>Maintainability</td>\n        <td>Follows open-source community development standards, complete documentation, continuous integration, and adheres to TDD (Test-Driven Development) patterns.</td>\n    </tr>\n    <tr>\n        <td>Testability</td>\n        <td>Automated and customized unit testing, performance testing, and integration testing.</td>\n    </tr>\n    <tr>\n        <td>Portability</td>\n        <td>Plans for porting to Java, Python, and C++, currently achieved to 80%.</td>\n    </tr>\n    <tr>\n        <td>Reusability</td>\n        <td>Fully decoupled, minimized side effects, and adheres to OOP.</td>\n    </tr>\n    <tr>\n        <td>Security</td>\n        <td>Carefully designed security for member variables and methods. Read-write separation. Data structure software does not need to consider other security aspects.</td>\n    </tr>\n    <tr>\n        <td>Scalability</td>\n        <td>Data structure software does not involve load issues.</td>\n    </tr>\n</table>\n\n\n\n\n","readmeFilename":"README.md"}