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Included](https://img.shields.io/badge/TypeScript-ready-blue)\n![Node](https://img.shields.io/badge/Node-18+-6DA55F?logo=node.js&logoColor=white)\n![Bun](https://img.shields.io/badge/Bun-%23000000.svg)\n![ESM + CJS](https://img.shields.io/badge/modules-ESM%20%2B%20CJS-informational)\n\n</div>\n\n# `@rimbu/graph`\n\n**Fast, immutable graph data structures for TypeScript & JavaScript.**\n\n`@rimbu/graph` provides a rich family of **directed** and **undirected** graph implementations, with optional **edge values**, and both **hashed** and **sorted** internal representations. All graphs are **immutable & persistent**, giving you predictable behaviour and structural sharing while still feeling ergonomic to use.\n\nUse it whenever you need to model **networks, dependencies, state machines, hierarchical links, or arbitrary relationships** between entities.\n\n---\n\n## Table of Contents\n\n1. [Why `@rimbu/graph`?](#why-rimbu-graph)\n2. [Feature Highlights](#feature-highlights)\n3. [Quick Start](#quick-start)\n4. [Core Concepts & Types](#core-concepts--types)\n5. [Directed vs Undirected Graphs](#directed-vs-undirected-graphs)\n6. [Valued Graphs](#valued-graphs)\n7. [Traversal Helpers (`Traverse`)](#traversal-helpers-traverse)\n8. [Performance Notes](#performance-notes)\n9. [Installation](#installation)\n10. [FAQ](#faq)\n11. [Ecosystem & Integration](#ecosystem--integration)\n12. [Contributing](#contributing)\n13. [License](#license)\n\n---\n\n## Why `@rimbu/graph`?\n\nGraphs are everywhere:\n\n- **Domain models** – users ↔ groups, services ↔ dependencies, resources ↔ references.\n- **Algorithms** – path finding, reachability, connectivity, topological ordering.\n- **Config & state** – workflows, finite state machines, dependency graphs.\n\n`@rimbu/graph` focuses on:\n\n- **Clear semantics** – separate types for **directed** (`ArrowGraph`) and **undirected** (`EdgeGraph`) graphs.\n- **Valued edges** – attach weights, metadata, or labels via valued graphs (e.g. `ArrowValuedGraphHashed`).\n- **Immutable operations** – updates always return new instances, sharing structure internally.\n- **Strong typing** – generics for node and value types, plus non‑empty refinements.\n- **Consistent API** – graph families share common operations and higher‑kinded `Context` / `Builder` types.\n\n---\n\n## Feature Highlights\n\n- **Directed & undirected graphs** – choose between arrow (directed) and edge (undirected) graphs.\n- **Valued edges** – store extra data per connection (weights, labels, costs, metadata).\n- **Hashed & sorted variants** – pick between hashed (`*Hashed`) or sorted (`*Sorted`) internal collections.\n- **Immutable & persistent** – safe sharing across components, snapshots, and undo/redo flows.\n- **Context & builders** – use `Context` and `Builder` types for efficient, batched updates.\n- **Traversal utilities** – breadth‑first and depth‑first traversal helpers via the exported `Traverse` namespace.\n\nTry Rimbu (including `@rimbu/graph`) live in the browser using the\n[Rimbu Sandbox on CodeSandbox](https://codesandbox.io/s/github/vitoke/rimbu-sandbox/tree/main?previewwindow=console&view=split&editorsize=65&moduleview=1&module=/src/index.ts).\n\n---\n\n## Quick Start\n\n### Basic undirected graph\n\n```ts\nimport { EdgeGraphHashed } from '@rimbu/graph';\n\n// Create from node/connection tuples\nconst g = EdgeGraphHashed.of(\n  [1, 2],\n  [2, 3],\n  [3, 4],\n  [5] // isolated node\n);\n\ng.hasNode(2); // true\ng.hasConnection(1, 2); // true\n\n// Get all connections from a node as a nested map\nconst neighbors = g.getConnectionsFrom(2);\nconsole.log(neighbors.toArray()); // e.g. [[1], [3]]\n\n// Iterate graph elements as a stream\ng.stream().toArray();\n// => [[1, 2], [2, 3], [3, 4], [5]]\n```\n\n### Basic directed graph\n\n```ts\nimport { ArrowGraphHashed } from '@rimbu/graph';\n\nconst g = ArrowGraphHashed.of([1, 2], [2, 3], [3, 1]);\n\ng.hasConnection(1, 2); // true\ng.hasConnection(2, 1); // false\n\ng.getConnectionsFrom(1).toArray();\n// => [[2]]\n```\n\n### Valued graph (weighted edges)\n\n```ts\nimport { ArrowValuedGraphHashed } from '@rimbu/graph';\n\n// [from, to, weight]\nconst wg = ArrowValuedGraphHashed.of([1, 2, 5], [2, 3, 3]);\n\nwg.getValue(1, 2); // 5\n\nwg.stream().toArray();\n// => [[1, 2, 5], [2, 3, 3]]\n```\n\n---\n\n## Core Concepts & Types\n\nThe main public surface of `@rimbu/graph` is exported from `src/main/index.mts`.\n\n### Common graph interfaces\n\n| Name                    | Description                                                                              |\n| ----------------------- | ---------------------------------------------------------------------------------------- |\n| `Graph<N>`              | Type‑invariant immutable graph interface.                                                |\n| `Graph.NonEmpty<N>`     | Non‑empty refinement of `Graph<N>` with a non‑empty `stream` of graph elements.          |\n| `Graph.Context<UN>`     | Factory/context for creating `Graph` instances and builders for an upper node type `UN`. |\n| `VariantGraph<N>`       | Type‑variant graph interface with covariant node type.                                   |\n| `VariantGraph.NonEmpty` | Non‑empty refinement of `VariantGraph<N>` with a non‑empty stream of graph elements.     |\n\n### Directed (arrow) graphs\n\n| Name                     | Description                                                                                           |\n| ------------------------ | ----------------------------------------------------------------------------------------------------- |\n| `ArrowGraph<N>`          | Type‑invariant **directed** graph.                                                                    |\n| `ArrowGraph.NonEmpty<N>` | Non‑empty directed graph; `stream()` yields either `[N]` (isolated node) or `[from, to]` connections. |\n| `ArrowGraph.Context<UN>` | Context for `ArrowGraph` instances (generic over an upper node type `UN`).                            |\n| `ArrowGraph.Builder<N>`  | Mutable builder for efficiently constructing or mutating an `ArrowGraph<N>` before freezing it.       |\n| `ArrowGraphHashed<N>`    | Directed graph whose connections are internally stored in hashed collections.                         |\n| `ArrowGraphSorted<N>`    | Directed graph whose connections are internally stored in sorted collections.                         |\n\nEach of the hashed/sorted variants has its own `NonEmpty`, `Builder`, and `Context` types, such as:\n\n- `ArrowGraphHashed.NonEmpty<N>`\n- `ArrowGraphHashed.Context<UN>`\n- `ArrowGraphSorted.NonEmpty<N>`\n- `ArrowGraphSorted.Context<UN>`\n\n### Undirected (edge) graphs\n\n| Name                    | Description                                                                     |\n| ----------------------- | ------------------------------------------------------------------------------- |\n| `EdgeGraph<N>`          | Type‑invariant **undirected** graph.                                            |\n| `EdgeGraph.NonEmpty<N>` | Non‑empty undirected graph; `stream()` yields `[N]` or `[N, N]` graph elements. |\n| `EdgeGraph.Context<UN>` | Context for `EdgeGraph` instances.                                              |\n| `EdgeGraph.Builder<N>`  | Mutable builder for `EdgeGraph<N>`.                                             |\n| `EdgeGraphHashed<N>`    | Undirected graph backed by hashed collections.                                  |\n| `EdgeGraphSorted<N>`    | Undirected graph backed by sorted collections.                                  |\n\nAgain, hashed/sorted variants include corresponding `NonEmpty`, `Builder`, and `Context` types.\n\n---\n\n## Directed vs Undirected Graphs\n\n- **Arrow graphs** (`ArrowGraph*`) represent **directed** edges.  \n  A connection `[1, 2]` means “an edge from `1` to `2`”, but not necessarily from `2` to `1`.\n- **Edge graphs** (`EdgeGraph*`) represent **undirected** edges.  \n  A connection `[1, 2]` is symmetric: `hasConnection(1, 2)` and `hasConnection(2, 1)` both hold.\n\nAll graph variants share core APIs, such as:\n\n```ts\ng.hasNode(node);\ng.hasConnection(node1, node2);\ng.getConnectionsFrom(node); // returns a map / set of neighbors\ng.stream(); // stream of graph elements\n```\n\nUse `*Hashed` variants when you care about fast hashed lookups, and `*Sorted` variants when you want deterministic, ordered traversal.\n\n---\n\n## Valued Graphs\n\nValued graphs let you store an extra value per edge (weight, label, capacity, etc.).\n\n### Generic valued interfaces\n\n| Name                          | Description                                                                    |\n| ----------------------------- | ------------------------------------------------------------------------------ |\n| `ValuedGraph<N, V>`           | Type‑invariant graph where each connection has a value of type `V`.            |\n| `ValuedGraph.NonEmpty<N, V>`  | Non‑empty valued graph; `stream()` yields `ValuedGraphElement<N, V>` elements. |\n| `VariantValuedGraph<N, V>`    | Type‑variant valued graph.                                                     |\n| `VariantValuedGraph.NonEmpty` | Non‑empty variant valued graph.                                                |\n\n### Concrete valued graph families\n\n| Name                           | Description                                               |\n| ------------------------------ | --------------------------------------------------------- |\n| `ArrowValuedGraph<N, V>`       | Directed valued graph interface.                          |\n| `ArrowValuedGraphHashed<N, V>` | Directed valued graph backed by `HashMap` structures.     |\n| `ArrowValuedGraphSorted<N, V>` | Directed valued graph backed by `SortedMap` structures.   |\n| `EdgeValuedGraph<N, V>`        | Undirected valued graph interface.                        |\n| `EdgeValuedGraphHashed<N, V>`  | Undirected valued graph backed by `HashMap` structures.   |\n| `EdgeValuedGraphSorted<N, V>`  | Undirected valued graph backed by `SortedMap` structures. |\n\nEach of these has matching `NonEmpty`, `Builder`, and `Context` types, and exposes a `stream()` that yields **graph elements**:\n\n- Isolated node: `[node]`\n- Valued connection: `[from, to, value]`\n\n```ts\nimport { EdgeValuedGraphHashed } from '@rimbu/graph';\n\nconst g = EdgeValuedGraphHashed.of([1, 2, 'a'], [2, 3, 'b']);\n\ng.getValue(1, 2); // 'a'\ng.stream().toArray();\n// => [[1, 2, 'a'], [2, 3, 'b']]\n```\n\n---\n\n## Traversal Helpers (`Traverse`)\n\nThe main index exports a `Traverse` namespace that groups traversal utilities:\n\n```ts\nimport { Traverse, EdgeGraphHashed } from '@rimbu/graph';\n\nconst g = EdgeGraphHashed.of([1, 2], [2, 3], [1, 3], [3, 4]);\n\n// Breadth‑first traversal\nconst bfs = Traverse.traverseBreadthFirstHashed(g, 1);\nconsole.log(bfs.toArray());\n// => [[1, 2], [1, 3], [2, 3], [3, 4]]\n\n// Depth‑first traversal\nconst dfs = Traverse.traverseDepthFirstHashed(g, 1);\nconsole.log(dfs.toArray());\n// => [[1, 2], [2, 3], [1, 3], [3, 4]]\n```\n\nAvailable helpers include:\n\n- `traverseBreadthFirstCustom`\n- `traverseBreadthFirstHashed`\n- `traverseBreadthFirstSorted`\n- `traverseDepthFirstCustom`\n- `traverseDepthFirstHashed`\n- `traverseDepthFirstSorted`\n\nAll of them work with any non‑empty `VariantGraphBase`‑compatible graph from this package.\n\n---\n\n## Performance Notes\n\n- Graphs in Rimbu are built on **persistent data structures** – updates are typically \\\\(O(\\log n)\\\\) and share most of their structure.\n- Hashed vs sorted variants differ mainly in the underlying maps/sets (`HashMap` / `HashSet` vs `SortedMap` / `SortedSet`).\n- Many operations accept generic `StreamSource` inputs (from `@rimbu/stream`), allowing efficient construction and transformation from arrays, iterables, or streams.\n\nFor more details, see the main Rimbu documentation at [rimbu.org](https://rimbu.org).\n\n---\n\n## Installation\n\n### Node / Bun / npm / Yarn\n\n```sh\nnpm install @rimbu/graph\n# or\nyarn add @rimbu/graph\n# or\nbun add @rimbu/graph\n# or\ndeno add npm:@rimbu/graph\n```\n\nThen:\n\n```ts\nimport { EdgeGraphHashed } from '@rimbu/graph/mod.ts';\n```\n\n### Browser / ESM\n\n`@rimbu/graph` ships both **ESM** and **CJS** builds. Use it with any modern bundler\n(Vite, Webpack, esbuild, Bun, etc.) or directly in Node ESM projects.\n\n---\n\n## FAQ\n\n**Q: What is the difference between `Graph`, `ArrowGraph`, and `EdgeGraph`?**  \n`Graph` and `VariantGraph` are general graph interfaces, while `ArrowGraph*` and `EdgeGraph*` are concrete families for directed and undirected graphs, respectively, with hashed/sorted variants and context/builder support.\n\n**Q: When should I use valued graphs?**  \nWhenever edges carry additional information (weights, labels, capacities, timestamps, etc.), use `ArrowValuedGraph*` or `EdgeValuedGraph*` to keep that data close to the topology.\n\n**Q: Are these graphs mutable?**  \nNo. All operations return new graph instances; existing ones remain unchanged and can be freely shared.\n\n**Q: Can I build graphs incrementally?**  \nYes. Use the `Builder` types (e.g. `ArrowGraphHashed.Builder`, `EdgeValuedGraphSorted.Builder`) exposed via their `Context` or via helpers like `toBuilder()`.\n\n---\n\n## Ecosystem & Integration\n\n- Part of the broader **Rimbu** collection ecosystem – interoperates with `@rimbu/hashed`,\n  `@rimbu/sorted`, `@rimbu/collection-types`, and `@rimbu/stream`.\n- Well‑suited for domain modelling, compilers/interpreters, schedulers, routing, and more.\n- Works seamlessly with Rimbu streams and other collections for building rich, immutable data models.\n\nExplore more at the [Rimbu Graph docs](https://rimbu.org/docs/collections/graph) and the\n[Graph API reference](https://rimbu.org/api/rimbu/graph).\n\n---\n\n## Contributing\n\nWe welcome contributions! See the\n[Contributing guide](https://github.com/rimbu-org/rimbu/blob/main/CONTRIBUTING.md) for details.\n\n<img src=\"https://contrib.rocks/image?repo=rimbu-org/rimbu\" alt=\"Contributors\" />\n\n_Made with [contributors-img](https://contrib.rocks)._\n\n---\n\n## License\n\nMIT © Rimbu contributors. See [LICENSE](./LICENSE) for details.\n","readmeFilename":"README.md"}