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Schmidt","url":"https://thi.ng"},"license":"Apache-2.0","homepage":"https://thi.ng/adjacency","keywords":["adjacency","bidirectional","binary","dag","datastructure","degree","directed","graph","laplacian","list","matrix","neighborhood","path","query","search","span","sparse","tree","typescript","undirected","valence","vertex"],"repository":{"type":"git","url":"git+https://codeberg.org/thi.ng/umbrella.git","directory":"packages/adjacency"},"description":"Sparse & bitwise adjacency matrices, lists and selected traversal algorithms for directed & undirected graphs","contributors":[{"name":"Igor Loskutov","url":"https://github.com/Firfi"}],"maintainers":[{"name":"thi.ng","email":"k+npm@thi.ng"}],"readme":"<!-- This file is generated - DO NOT EDIT! -->\n<!-- Please see: https://codeberg.org/thi.ng/umbrella/src/branch/develop/CONTRIBUTING.md#changes-to-readme-files -->\n# ![@thi.ng/adjacency](https://codeberg.org/thi.ng/umbrella/media/branch/develop/assets/banners/thing-adjacency.svg?74dfa3d1)\n\n[![npm version](https://img.shields.io/npm/v/@thi.ng/adjacency.svg)](https://www.npmjs.com/package/@thi.ng/adjacency)\n![npm downloads](https://img.shields.io/npm/dm/@thi.ng/adjacency.svg)\n[![Mastodon Follow](https://img.shields.io/mastodon/follow/109331703950160316?domain=https%3A%2F%2Fmastodon.thi.ng&style=social)](https://mastodon.thi.ng/@toxi)\n\n> [!NOTE]\n\n> This is one of 217 standalone projects. LLM-free, human-made and\n> cared for software, maintained as part of the\n> [@thi.ng/umbrella](https://codeberg.org/thi.ng/umbrella/) ecosystem and\n> anti-framework.\n>\n> 🚀 Please help me to work full-time on these projects by [sponsoring\n> me](https://codeberg.org/thi.ng/umbrella/src/branch/develop/CONTRIBUTING.md#donations).\n> Thank you! ❤️\n\n- [About](#about)\n  - [Graph implementations](#graph-implementations)\n  - [Traversals](#traversals)\n- [Status](#status)\n- [Related packages](#related-packages)\n- [Installation](#installation)\n- [Dependencies](#dependencies)\n- [Usage examples](#usage-examples)\n- [API](#api)\n  - [Basic usage](#basic-usage)\n- [Authors](#authors)\n- [License](#license)\n\n## About\n\nSparse & bitwise adjacency matrices, lists and selected traversal algorithms for directed & undirected graphs.\n\n> [!IMPORTANT]\n> In July 2024 this package was restructured and split-up to extract some\n> features into smaller more focused packages:\n>\n> - [@thi.ng/disjoint-set](https://thi.ng/disjoint-set)\n\n### Graph implementations\n\nThe following types all implement the [`IGraph`\ninterface](https://docs.thi.ng/umbrella/adjacency/interfaces/IGraph.html) and\nsupport both directed & undirected graphs:\n\n- [AdjacencyBitMatrix (bit matrix based)](https://docs.thi.ng/umbrella/adjacency/classes/AdjacencyBitMatrix.html)\n- [AdjacencyMatrix (sparse matrix based)](https://docs.thi.ng/umbrella/adjacency/classes/AdjacencyMatrix.html)\n- [AdjacencyList](https://docs.thi.ng/umbrella/adjacency/classes/AdjacencyList.html)\n\n### Traversals\n\n- [Breadth-First Search](https://docs.thi.ng/umbrella/adjacency/functions/bfs.html)\n- [Depth-First Search](https://docs.thi.ng/umbrella/adjacency/functions/dfs.html)\n- [Floyd-Warshall (global shortest paths search)](https://docs.thi.ng/umbrella/adjacency/functions/floydWarshall.html)\n- [Minimum Spanning Tree](https://docs.thi.ng/umbrella/adjacency/functions/mst.html)\n\n## Status\n\n**STABLE** - used in production\n\n[Search or submit any issues for this package](https://codeberg.org/thi.ng/umbrella/issues?q=%5Badjacency%5D)\n\n## Related packages\n\n- [@thi.ng/dgraph](https://codeberg.org/thi.ng/umbrella/src/branch/develop/packages/dgraph) - Type-agnostic directed acyclic graph (DAG) & graph operations\n\n## Installation\n\n```bash\nyarn add @thi.ng/adjacency\n```\n\nESM import:\n\n```ts\nimport * as adj from \"@thi.ng/adjacency\";\n```\n\nBrowser ESM import:\n\n```html\n<script type=\"module\" src=\"https://esm.run/@thi.ng/adjacency\"></script>\n```\n\n[JSDelivr documentation](https://www.jsdelivr.com/)\n\nFor Node.js REPL:\n\n```js\nconst adj = await import(\"@thi.ng/adjacency\");\n```\n\nPackage sizes (brotli'd, pre-treeshake): ESM: 2.53 KB\n\n## Dependencies\n\n- [@thi.ng/api](https://codeberg.org/thi.ng/umbrella/src/branch/develop/packages/api)\n- [@thi.ng/arrays](https://codeberg.org/thi.ng/umbrella/src/branch/develop/packages/arrays)\n- [@thi.ng/bitfield](https://codeberg.org/thi.ng/umbrella/src/branch/develop/packages/bitfield)\n- [@thi.ng/dcons](https://codeberg.org/thi.ng/umbrella/src/branch/develop/packages/dcons)\n- [@thi.ng/disjoint-set](https://codeberg.org/thi.ng/umbrella/src/branch/develop/packages/disjoint-set)\n- [@thi.ng/errors](https://codeberg.org/thi.ng/umbrella/src/branch/develop/packages/errors)\n- [@thi.ng/sparse](https://codeberg.org/thi.ng/umbrella/src/branch/develop/packages/sparse)\n\nNote: @thi.ng/api is in _most_ cases a type-only import (not used at runtime)\n\n## Usage examples\n\nOne project in this repo's\n[/examples](https://codeberg.org/thi.ng/umbrella/src/branch/develop/examples)\ndirectory is using this package:\n\n| Screenshot                                                                                                              | Description                                                                      | Live demo                                              | Source                                                                                      |\n|:------------------------------------------------------------------------------------------------------------------------|:---------------------------------------------------------------------------------|:-------------------------------------------------------|:--------------------------------------------------------------------------------------------|\n| <img src=\"https://codeberg.org/thi.ng/umbrella/media/branch/develop/assets/examples/geom-voronoi-mst.jpg\" width=\"240\"/> | Poisson-disk shape-aware sampling, Voronoi & Minimum Spanning Tree visualization | [Demo](https://demo.thi.ng/umbrella/geom-voronoi-mst/) | [Source](https://codeberg.org/thi.ng/umbrella/src/branch/develop/examples/geom-voronoi-mst) |\n\n## API\n\n[Generated API docs](https://docs.thi.ng/umbrella/adjacency/)\n\nTODO\n\n### Basic usage\n\n```ts tangle:export/readme.ts\nimport { defAdjBitMatrix, type Edge } from \"@thi.ng/adjacency\";\n\n// relationships\nconst rels = {\n    a: [\"b\", \"c\"],\n    b: [\"d\"],\n    c: [\"d\", \"e\"],\n    e: [\"a\", \"d\", \"b\"],\n};\n\n// form set of unique node IDs\nconst nodeIDs = [\n    ...new Set(Object.entries(rels).flatMap(([id, rels]) => [id, ...rels])),\n];\n\n// the current adjacency matrix impls only support numeric node IDs\n// therefore, we first map node names to numeric IDs\nconst index = new Map(nodeIDs.map((id, i) => [id, i]));\n\n// transform relationships into sequence of edges (aka `[from,to]` tuples)\nconst edges = Object.entries(rels).flatMap(([id, rels]) =>\n    rels.map((x) => <Edge>[index.get(id), index.get(x)])\n);\n\n// build adjacency matrix, treat as undirected graph\n// edges can also be added/removed later\nconst graph = defAdjBitMatrix(nodeIDs.length, edges, true);\n\n// graph queries\nconsole.log(\"edges:\", graph.numEdges(), \"verts:\", graph.numVertices());\n// edges: 8 verts: 5\n\n// check if vertex/node is present in graph\n// (this is implementation specific and for the bitmatrix backed version here\n// only true if the vertex has at least 1 edge...)\nconsole.log(graph.hasVertex(index.get(\"d\")!));\n// true\n\n// are `a` and `d` connected?\nconsole.log(graph.hasEdge(index.get(\"a\")!, index.get(\"d\")!));\n// false\n\n// number of connected nodes for `a`\n// (in directed graphs, there's also possibility to distinguish between in/out/inout)\nconsole.log(graph.degree(index.get(\"a\")!));\n// 3\n\n// neighbors of `a` (with reverse lookup of node names)\nconsole.log(graph.neighbors(index.get(\"a\")!).map((x) => nodeIDs[x]));\n// [ 'b', 'c', 'e' ]\n\n// serialize to GraphViz DOT format (see result visualization below)\nconsole.log(graph.toDot(nodeIDs));\n// graph g {\n// \"d\"--\"e\";\n// \"c\"--\"d\";\n// \"c\"--\"e\";\n// \"b\"--\"d\";\n// \"b\"--\"e\";\n// \"a\"--\"b\";\n// \"a\"--\"c\";\n// \"a\"--\"e\";\n// }\n\n// resize to new capacity & add add/remove vertices/edges\ngraph.resize(10);\n\ngraph.addEdge(4, 5);\ngraph.removeEdge(0, 1);\n```\n\nGraphViz visualization of the above example graph:\n\n![example graph](https://codeberg.org/thi.ng/umbrella/media/branch/develop/assets/adjacency/readme.png)\n\n## Authors\n\n- [Karsten Schmidt](https://thi.ng) (Main author)\n- [Igor Loskutov](https://github.com/Firfi)\n\nIf this project contributes to an academic publication, please cite it as:\n\n```bibtex\n@misc{thing-adjacency,\n  title = \"@thi.ng/adjacency\",\n  author = \"Karsten Schmidt and others\",\n  note = \"https://thi.ng/adjacency\",\n  year = 2018\n}\n```\n\n## License\n\n&copy; 2018 - 2026 Karsten Schmidt // Apache License 2.0\n","readmeFilename":"README.md"}