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Zeng zrwusa@gmail.com"},"license":"MIT","homepage":"https://data-structure-typed-docs.vercel.app","keywords":["Graph","graph data structure","javascript","java script","JavaScript","js","typescript","type script","TypeScript","ts","vertex","Vertex","node","Node","edge","Edge","graph theory","Graph Theory","graph structure","undirected","Undirected","directed","Directed","weighted","Weighted","unweighted","Unweighted","graph","adjacency","Adjacency","connectivity","path","cycle","traversal","depth","Depth","breadth","Breadth","first","search","depth first search","dfs","DFS","breadth first search","breadth-first search","bfs","BFS","graph algorithms","graph representation","connectivity matrix","adjacency list","adjacency matrix","matrix","network","node degree","sparse graph","dense graph","data","structure","structures","data structure","datastructure","data-structure","data structures","datastructures","data-structures","in data structures","in data structure","DataStructure","DataStructures","iterative","Node.js","CommonJS","ES6","UMD","esmodule","java.util","c++ stl","c++ std","Python collections","System.Collections.Generic","STL","stl","util","collection","Collection","collections","Collections","insertion","deletion","performance","OOP","documentation","visualization"],"repository":{"type":"git","url":"git+https://github.com/zrwusa/data-structure-typed.git"},"description":"Graph data structure.","maintainers":[{"name":"zrwusa.org","email":"zrwusa@gmail.com"}],"readme":"![NPM](https://img.shields.io/npm/l/graph-typed)\n![GitHub top language](https://img.shields.io/github/languages/top/zrwusa/data-structure-typed)\n![npm](https://img.shields.io/npm/dw/graph-typed)\n![eslint](https://aleen42.github.io/badges/src/eslint.svg)\n![npm bundle size](https://img.shields.io/bundlephobia/minzip/graph-typed)\n![npm bundle size](https://img.shields.io/bundlephobia/min/graph-typed)\n![npm](https://img.shields.io/npm/v/graph-typed)\n\n# What\n\n## Brief\n\nThis is a standalone Graph data structure from the data-structure-typed collection. If you wish to access more data\nstructures 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 graph-typed --save\n```\n\n### yarn\n\n```bash\nyarn add graph-typed\n```\n\n### snippet\n\n#### TS\n\n##### DirectedGraph\n\n```typescript\nimport {DirectedGraph, DirectedVertex, DirectedEdge} from 'data-structure-typed';\n// /* or if you prefer */ import {DirectedGraph, DirectedVertex, DirectedEdge} from 'graph-typed';\n\nconst graph = new DirectedGraph();\nconst vertexA = new DirectedVertex('A');\nconst vertexB = new DirectedVertex('B');\nconst vertexC = new DirectedVertex('C');\nconst edgeAB = new DirectedEdge('A', 'B');\nconst edgeBC = new DirectedEdge('B', 'C');\n\ngraph.addVertex(vertexA);\ngraph.addVertex(vertexB);\ngraph.addVertex(vertexC);\ngraph.addEdge(edgeAB);\ngraph.addEdge(edgeBC);\n\nconst topologicalOrder = graph.topologicalSort();\nif (topologicalOrder) expect(topologicalOrder).toEqual(['A', 'B', 'C'])\n```\n\n##### MapGraph\n\n```typescript\nimport {MapGraph, MapVertex} from 'data-structure-typed';\n// /* or if you prefer */ import {MapGraph, MapVertex} from 'graph-typed';\n\nconst mapGraph = new MapGraph([5.500338, 100.173665]);\n\nmapGraph.addVertex(new MapVertex('Surin', 5.466724, 100.274805));\nmapGraph.addVertex(new MapVertex('Batu Feringgi Beach', 5.475141, 100.276670));\nmapGraph.addVertex(new MapVertex('Lotus', 5.459044, 100.308767));\nmapGraph.addVertex(new MapVertex('The Breeza', 5.454197, 100.307859));\nmapGraph.addVertex(new MapVertex('Hard Rock Hotel', 5.467850, 100.241876));\nmapGraph.addVertex(new MapVertex('Mira', 5.456749, 100.286650));\nmapGraph.addVertex(new MapVertex('Penang Bible Church', 5.428683, 100.314825));\nmapGraph.addVertex(new MapVertex('Queensbay', 5.332760, 100.306651));\nmapGraph.addVertex(new MapVertex('Saanen Goat Farm', 5.405738, 100.207699));\nmapGraph.addVertex(new MapVertex('Trinity Auto', 5.401126, 100.303739));\nmapGraph.addVertex(new MapVertex('Penang Airport', 5.293185, 100.265772));\nmapGraph.addEdge('Surin', 'Lotus', 4.7);\nmapGraph.addEdge('Lotus', 'The Breeza', 1);\nmapGraph.addEdge('Batu Feringgi Beach', 'Hard Rock Hotel', 5.2);\nmapGraph.addEdge('Surin', 'Mira', 2.8);\nmapGraph.addEdge('Mira', 'Penang Bible Church', 7.0);\nmapGraph.addEdge('Lotus', 'Penang Bible Church', 5.7);\nmapGraph.addEdge('Penang Bible Church', 'Queensbay', 13.9);\nmapGraph.addEdge('Hard Rock Hotel', 'Saanen Goat Farm', 18.5);\nmapGraph.addEdge('The Breeza', 'Trinity Auto', 9.1);\nmapGraph.addEdge('Trinity Auto', 'Saanen Goat Farm', 26.3);\nmapGraph.addEdge('The Breeza', 'Penang Airport', 24.8);\nmapGraph.addEdge('Penang Airport', 'Saanen Goat Farm', 21.2);\nconst expected1 = ['Surin', 'Lotus', 'The Breeza', 'Trinity Auto', 'Saanen Goat Farm'];\n\nconst minPathBetween = mapGraph.getMinPathBetween('Surin', 'Saanen Goat Farm');\nexpect(minPathBetween?.map(v => v.id)).toEqual(expected1);\nconst surinToSaanenGoatFarmDij = mapGraph.dijkstra('Surin', 'Saanen Goat Farm', true, true);\nexpect(surinToSaanenGoatFarmDij?.minPath.map(v => v.id)).toEqual(expected1);\nexpect(surinToSaanenGoatFarmDij?.minDist).toBe(41.1);\nmapGraph.addEdge('Surin', 'Batu Feringgi Beach', 1.5);\nconst expected2 = ['Surin', 'Batu Feringgi Beach', 'Hard Rock Hotel', 'Saanen Goat Farm'];\nconst minPathBetweenViaBFB = mapGraph.getMinPathBetween('Surin', 'Saanen Goat Farm', true);\nexpect(minPathBetweenViaBFB?.map(v => v.id)).toEqual(expected2);\nconst surinToSaanenGoatFarmViaDij = mapGraph.dijkstra('Surin', 'Saanen Goat Farm', true, true);\nexpect(surinToSaanenGoatFarmViaDij?.minPath.map(v => v.id)).toEqual(expected2);\nexpect(surinToSaanenGoatFarmViaDij?.minDist).toBe(25.2);\n```\n\n#### JS\n\n##### DirectedGraph\n\n```typescript\nconst {DirectedGraph, DirectedVertex, DirectedEdge} = require('data-structure-typed');\n// /* or if you prefer */ const {DirectedGraph, DirectedVertex, DirectedEdge} = require('graph-typed');\n\nconst graph = new DirectedGraph();\nconst vertexA = new DirectedVertex('A');\nconst vertexB = new DirectedVertex('B');\nconst vertexC = new DirectedVertex('C');\nconst edgeAB = new DirectedEdge('A', 'B');\nconst edgeBC = new DirectedEdge('B', 'C');\n\ngraph.addVertex(vertexA);\ngraph.addVertex(vertexB);\ngraph.addVertex(vertexC);\ngraph.addEdge(edgeAB);\ngraph.addEdge(edgeBC);\n\nconst topologicalOrder = graph.topologicalSort();\nif (topologicalOrder) expect(topologicalOrder).toEqual(['A', 'B', 'C'])\n```\n\n##### MapGraph\n\n```javascript\nconst {MapGraph, MapVertex} =  require('data-structure-typed');\n// /* or if you prefer */ const {MapGraph, MapVertex} = require('graph-typed');\n\nconst mapGraph = new MapGraph([5.500338, 100.173665]);\n\nmapGraph.addVertex(new MapVertex('Surin', 5.466724, 100.274805));\nmapGraph.addVertex(new MapVertex('Batu Feringgi Beach', 5.475141, 100.276670));\nmapGraph.addVertex(new MapVertex('Lotus', 5.459044, 100.308767));\nmapGraph.addVertex(new MapVertex('The Breeza', 5.454197, 100.307859));\nmapGraph.addVertex(new MapVertex('Hard Rock Hotel', 5.467850, 100.241876));\nmapGraph.addVertex(new MapVertex('Mira', 5.456749, 100.286650));\nmapGraph.addVertex(new MapVertex('Penang Bible Church', 5.428683, 100.314825));\nmapGraph.addVertex(new MapVertex('Queensbay', 5.332760, 100.306651));\nmapGraph.addVertex(new MapVertex('Saanen Goat Farm', 5.405738, 100.207699));\nmapGraph.addVertex(new MapVertex('Trinity Auto', 5.401126, 100.303739));\nmapGraph.addVertex(new MapVertex('Penang Airport', 5.293185, 100.265772));\nmapGraph.addEdge('Surin', 'Lotus', 4.7);\nmapGraph.addEdge('Lotus', 'The Breeza', 1);\nmapGraph.addEdge('Batu Feringgi Beach', 'Hard Rock Hotel', 5.2);\nmapGraph.addEdge('Surin', 'Mira', 2.8);\nmapGraph.addEdge('Mira', 'Penang Bible Church', 7.0);\nmapGraph.addEdge('Lotus', 'Penang Bible Church', 5.7);\nmapGraph.addEdge('Penang Bible Church', 'Queensbay', 13.9);\nmapGraph.addEdge('Hard Rock Hotel', 'Saanen Goat Farm', 18.5);\nmapGraph.addEdge('The Breeza', 'Trinity Auto', 9.1);\nmapGraph.addEdge('Trinity Auto', 'Saanen Goat Farm', 26.3);\nmapGraph.addEdge('The Breeza', 'Penang Airport', 24.8);\nmapGraph.addEdge('Penang Airport', 'Saanen Goat Farm', 21.2);\nconst expected1 = ['Surin', 'Lotus', 'The Breeza', 'Trinity Auto', 'Saanen Goat Farm'];\n\nconst minPathBetween = mapGraph.getMinPathBetween('Surin', 'Saanen Goat Farm');\nexpect(minPathBetween?.map(v => v.id)).toEqual(expected1);\nconst surinToSaanenGoatFarmDij = mapGraph.dijkstra('Surin', 'Saanen Goat Farm', true, true);\nexpect(surinToSaanenGoatFarmDij?.minPath.map(v => v.id)).toEqual(expected1);\nexpect(surinToSaanenGoatFarmDij?.minDist).toBe(41.1);\nmapGraph.addEdge('Surin', 'Batu Feringgi Beach', 1.5);\nconst expected2 = ['Surin', 'Batu Feringgi Beach', 'Hard Rock Hotel', 'Saanen Goat Farm'];\nconst minPathBetweenViaBFB = mapGraph.getMinPathBetween('Surin', 'Saanen Goat Farm', true);\nexpect(minPathBetweenViaBFB?.map(v => v.id)).toEqual(expected2);\nconst surinToSaanenGoatFarmViaDij = mapGraph.dijkstra('Surin', 'Saanen Goat Farm', true, true);\nexpect(surinToSaanenGoatFarmViaDij?.minPath.map(v => v.id)).toEqual(expected2);\nexpect(surinToSaanenGoatFarmViaDij?.minDist).toBe(25.2);\n```\n\n[//]: # (No deletion!!! Start of Example Replace Section)\n\n\n[//]: # (No deletion!!! End of Example Replace Section)\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<tr>\n<td>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/AbstractGraph.html\"><span>AbstractGraph</span></a></td>\n</tr>\n<tr>\n<td>Directed 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/DirectedGraph.html\"><span>DirectedGraph</span></a></td>\n</tr>\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</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  <tr>\n    <td>DirectedGraph&lt;V, E&gt;</td>\n    <td>-</td>\n    <td>-</td>\n    <td>-</td>\n  </tr>\n  <tr>\n    <td>UndirectedGraph&lt;V, E&gt;</td>\n    <td>-</td>\n    <td>-</td>\n    <td>-</td>\n  </tr>\n  </tbody>\n</table>\n\n## Benchmark\n\n[//]: # (No deletion!!! Start of Replace Section)\n<div class=\"json-to-html-collapse clearfix 0\">\n      <div class='collapsible level0' ><span class='json-to-html-label'>directed-graph</span></div>\n      <div class=\"content\"><table style=\"display: table; width:100%; table-layout: fixed;\"><tr><th>test name</th><th>time taken (ms)</th><th>executions per sec</th><th>sample deviation</th></tr><tr><td>1,000 addVertex</td><td>0.10</td><td>9534.93</td><td>8.72e-7</td></tr><tr><td>1,000 addEdge</td><td>6.30</td><td>158.67</td><td>0.00</td></tr><tr><td>1,000 getVertex</td><td>0.05</td><td>2.16e+4</td><td>3.03e-7</td></tr><tr><td>1,000 getEdge</td><td>22.31</td><td>44.82</td><td>0.00</td></tr><tr><td>tarjan</td><td>210.90</td><td>4.74</td><td>0.01</td></tr><tr><td>tarjan all</td><td>214.72</td><td>4.66</td><td>0.01</td></tr><tr><td>topologicalSort</td><td>172.52</td><td>5.80</td><td>0.00</td></tr></table></div>\n    </div>\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  <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","readmeFilename":"README.md"}