From 724a083b3de92160db0509ea81501495071ca787 Mon Sep 17 00:00:00 2001 From: zqqcee Date: Sat, 16 Sep 2023 22:39:36 +0800 Subject: [PATCH 1/5] feat: v5 algorithm connected components --- packages/graph/src/connected-component.ts | 104 ++++++++++++++++++++++ packages/graph/src/index.ts | 1 + packages/graph/src/utils.ts | 23 ++++- 3 files changed, 126 insertions(+), 2 deletions(-) create mode 100644 packages/graph/src/connected-component.ts diff --git a/packages/graph/src/connected-component.ts b/packages/graph/src/connected-component.ts new file mode 100644 index 0000000..2363b35 --- /dev/null +++ b/packages/graph/src/connected-component.ts @@ -0,0 +1,104 @@ +import { Graph, INode, NodeID } from './types'; +/** + * Generate all connected components for an undirected graph + * @param graph + */ +export const detectConnectedComponents = (graph: Graph): INode[][] => { + const nodes = graph.getAllNodes(); + const allComponents: INode[][] = []; + const visited: { [key: NodeID]: boolean } = {}; + const nodeStack: INode[] = []; + const getComponent = (node: INode) => { + nodeStack.push(node); + visited[node.id] = true; + const neighbors = graph.getNeighbors(node.id); + for (let i = 0; i < neighbors.length; ++i) { + const neighbor = neighbors[i].id; + if (!visited[neighbor]) { + const targetNode = nodes.filter(node => node.id === neighbor) + if (targetNode.length > 0) { + getComponent(targetNode[0]); + } + } + } + }; + for (let i = 0; i < nodes.length; i++) { + const node = nodes[i]; + if (!visited[node.id]) { + // For DFS traversal of undirected graphs, a connected component is obtained after each call + getComponent(node); + const component = []; + while (nodeStack.length > 0) { + component.push(nodeStack.pop()); + } + allComponents.push(component); + } + } + return allComponents; +} + +/** + * Tarjan's Algorithm O(|V|+|E|) + * For directed graph only + * a directed graph is said to be strongly connected if "every vertex is reachable from every other vertex". + * refer: http://en.wikipedia.org/wiki/Tarjan%27s_strongly_connected_components_algorithm + * @param graph + * @return a list of strongly connected components + */ +export const detectStrongConnectComponents = (graph: Graph): INode[][] => { + const nodes = graph.getAllNodes(); + const nodeStack: INode[] = []; + //Assist to determine whether it is already in the stack to reduce the search overhead + const inStack: { [key: NodeID]: boolean } = {}; + const indices: { [key: NodeID]: number } = {}; + const lowLink: { [key: NodeID]: number } = {}; + const allComponents: INode[][] = []; + let index = 0; + const getComponent = (node: INode) => { + // Set the depth index for v to the smallest unused index + indices[node.id] = index; + lowLink[node.id] = index; + index += 1; + nodeStack.push(node); + inStack[node.id] = true; + const relatedEdges = graph.getRelatedEdges(node.id, "out"); + for (let i = 0; i < relatedEdges.length; i++) { + const targetNodeID = relatedEdges[i].target; + if (!indices[targetNodeID] && indices[targetNodeID] !== 0) { + const targetNode = nodes.filter(node => node.id === targetNodeID) + if (targetNode.length > 0) { + getComponent(targetNode[0]); + } + // tree edge + lowLink[node.id] = Math.min(lowLink[node.id], lowLink[targetNodeID]); + } else if (inStack[targetNodeID]) { + // back edge, target node is in the current SCC + lowLink[node.id] = Math.min(lowLink[node.id], indices[targetNodeID]); + } + } + // If node is a root node, generate an SCC + if (lowLink[node.id] === indices[node.id]) { + const component = []; + while (nodeStack.length > 0) { + const tmpNode = nodeStack.pop(); + inStack[tmpNode.id] = false; + component.push(tmpNode); + if (tmpNode === node) break; + } + if (component.length > 0) { + allComponents.push(component); + } + } + }; + for (const node of nodes) { + if (!indices[node.id] && indices[node.id] !== 0) { + getComponent(node); + } + } + return allComponents; +} + +export function getConnectedComponents(graph: Graph, directed?: boolean): INode[][] { + if (directed) return detectStrongConnectComponents(graph); + return detectConnectedComponents(graph); +} diff --git a/packages/graph/src/index.ts b/packages/graph/src/index.ts index ba47401..1d94226 100644 --- a/packages/graph/src/index.ts +++ b/packages/graph/src/index.ts @@ -9,3 +9,4 @@ export * from './dfs'; export * from './cosine-similarity'; export * from './nodes-cosine-similarity'; export * from './gaddi'; +export * from './connected-component' \ No newline at end of file diff --git a/packages/graph/src/utils.ts b/packages/graph/src/utils.ts index 78d5103..57db083 100644 --- a/packages/graph/src/utils.ts +++ b/packages/graph/src/utils.ts @@ -1,5 +1,5 @@ import { Node, PlainObject } from "@antv/graphlib"; -import { KeyValueMap, NodeData } from "./types"; +import { KeyValueMap, NodeData, NodeID, INode, IEdge } from "./types"; import { uniq } from "@antv/util"; export const getAllProperties = (nodes: Node[]) => { @@ -78,4 +78,23 @@ export const oneHot = (dataList: PlainObject[], involvedKeys?: string[], uninvol oneHotCode[index] = code; }); return oneHotCode; -}; \ No newline at end of file +}; + +/** + * Convert the old version of the data format to the new version + * @param data old data + * @return {{nodes:INode[],edges:IEdge[]}} new data + */ +export const dataTransformer = (data: { nodes: { id: NodeID, [key: string]: any }[], edges: { source: NodeID, target: NodeID, [key: string]: any }[] }): { nodes: INode[], edges: IEdge[] } => { + const { nodes, edges } = data; + return { + nodes: nodes.map(n => { + const { id, ...rest } = n; + return { id, data: rest }; + }), + edges: edges.map((e, i) => { + const { id, source, target, ...rest } = e; + return { id: id ? id : `edge-${i}`, target, source, data: rest }; + }), + } +} \ No newline at end of file From dc5a7bf5764f3642015f3545ae0781eafe6304a9 Mon Sep 17 00:00:00 2001 From: zqqcee Date: Sat, 16 Sep 2023 22:39:56 +0800 Subject: [PATCH 2/5] test: unit test of connected components --- __tests__/data/connected-test-data.json | 51577 +++++++++++++++++++ __tests__/unit/connected-component.spec.ts | 135 + package.json | 4 +- 3 files changed, 51714 insertions(+), 2 deletions(-) create mode 100644 __tests__/data/connected-test-data.json create mode 100644 __tests__/unit/connected-component.spec.ts diff --git a/__tests__/data/connected-test-data.json b/__tests__/data/connected-test-data.json new file mode 100644 index 0000000..5640c01 --- /dev/null +++ b/__tests__/data/connected-test-data.json @@ -0,0 +1,51577 @@ +{ + "nodes": [ + { + "id": "1", + "olabel": "Kuperman_M", + "size": 10, + "x": 26.22602890442184, + "y": 33.48766498594824, + "index": 0, + "vy": -0.014258006060071719, + "vx": -0.013787795594269568 + }, + { + "id": "2", + "olabel": "Acebron_J", + "size": 10, + "x": 762.9747722969743, + "y": 1076.5655474780835, + "index": 1, + "vy": 0.02444286459421935, + "vx": 0.012612873834233911 + }, + { + "id": "3", + "olabel": "Bonilla_L", + "size": 10, + "x": 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b/__tests__/unit/connected-component.spec.ts @@ -0,0 +1,135 @@ +import { getConnectedComponents } from "../../packages/graph/src"; +import { Graph } from "@antv/graphlib"; +import connectedTestData from '../data/connected-test-data.json'; +import { dataTransformer } from "../../packages/graph/src/utils"; + +const data = { + nodes: [ + { + id: 'A', + data: {}, + }, + { + id: 'B', + data: {}, + }, + { + id: 'C', + data: {}, + }, + { + id: 'D', + data: {}, + }, + { + id: 'E', + data: {}, + }, + { + id: 'F', + data: {}, + }, + { + id: 'G', + data: {}, + }, + { + id: 'H', + data: {}, + }, + ], + edges: [ + { + id: 'edge-0', + source: 'A', + target: 'B', + data: {}, + }, + { + id: 'edge-1', + source: 'B', + target: 'C', + data: {}, + }, + { + id: 'edge-2', + source: 'A', + target: 'C', + data: {}, + }, + { + id: 'edge-3', + source: 'D', + target: 'A', + data: {}, + }, + { + id: 'edge-4', + source: 'D', + target: 'E', + data: {}, + }, + { + id: 'edge-5', + source: 'E', + target: 'F', + data: {}, + }, + { + id: 'edge-6', + source: 'F', + target: 'D', + data: {}, + }, + { + id: 'edge-7', + source: 'G', + target: 'H', + data: {}, + }, + { + id: 'edge-8', + source: 'H', + target: 'G', + data: {}, + }, + ], +}; +const graph = new Graph(data); + +describe('find connected components', () => { + it('detect strongly connected components in undirected graph', () => { + let result = getConnectedComponents(graph, false); + expect(result.length).toEqual(2); + expect(result[0].map((node) => node.id).sort()).toEqual(['A', 'B', 'C', 'D', 'E', 'F']); + expect(result[1].map((node) => node.id).sort()).toEqual(['G', 'H']); + }); + + it('detect strongly connected components in directed graph', () => { + let result = getConnectedComponents(graph, true); + expect(result.length).toEqual(5); + expect(result[3].map((node) => node.id).sort()).toEqual(['D', 'E', 'F']); + expect(result[4].map((node) => node.id).sort()).toEqual(['G', 'H']); + }); + + + it('test connected components detection performance using large graph', () => { + const testData = dataTransformer(connectedTestData); + testData.nodes.forEach((node) => { + node.data.label = node.data.olabel; + node.data.degree = 0; + data.edges.forEach((edge) => { + if (edge.source === node.id || edge.target === node.id) { + (node.data.degree as number) += 1; + } + }); + }); + const graph = new Graph(testData); + let directedComps = getConnectedComponents(graph, true); + let undirectedComps = getConnectedComponents(graph, false); + expect(directedComps.length).toEqual(1589); + expect(undirectedComps.length).toEqual(396); + + }); + +}); diff --git a/package.json b/package.json index 8a6e34a..a981d3b 100644 --- a/package.json +++ b/package.json @@ -21,7 +21,7 @@ "build:ci": "pnpm -r run build:ci", "prepare": "husky install", "test": "jest", - "test_one": "jest ./__tests__/unit/nodes-cosine-similarity.spec.ts", + "test_one": "jest ./__tests__/unit/connected-component.spec.ts", "coverage": "jest --coverage", "build:site": "vite build", "deploy": "gh-pages -d site/dist", @@ -74,4 +74,4 @@ "access": "public", "registry": "https://registry.npmjs.org" } -} +} \ No newline at end of file From 226b7ceaa938a9e5503cb621ec9016425733110a Mon Sep 17 00:00:00 2001 From: zqqcee Date: Sat, 16 Sep 2023 22:40:26 +0800 Subject: [PATCH 3/5] fix: fix lint --- packages/graph/src/connected-component.ts | 10 +++++----- packages/graph/src/cosine-similarity.ts | 2 +- packages/graph/src/index.ts | 2 +- packages/graph/src/nodes-cosine-similarity.ts | 6 +++--- packages/graph/src/utils.ts | 6 +++--- 5 files changed, 13 insertions(+), 13 deletions(-) diff --git a/packages/graph/src/connected-component.ts b/packages/graph/src/connected-component.ts index 2363b35..ce00e0f 100644 --- a/packages/graph/src/connected-component.ts +++ b/packages/graph/src/connected-component.ts @@ -15,7 +15,7 @@ export const detectConnectedComponents = (graph: Graph): INode[][] => { for (let i = 0; i < neighbors.length; ++i) { const neighbor = neighbors[i].id; if (!visited[neighbor]) { - const targetNode = nodes.filter(node => node.id === neighbor) + const targetNode = nodes.filter((node) => node.id === neighbor); if (targetNode.length > 0) { getComponent(targetNode[0]); } @@ -35,7 +35,7 @@ export const detectConnectedComponents = (graph: Graph): INode[][] => { } } return allComponents; -} +}; /** * Tarjan's Algorithm O(|V|+|E|) @@ -48,7 +48,7 @@ export const detectConnectedComponents = (graph: Graph): INode[][] => { export const detectStrongConnectComponents = (graph: Graph): INode[][] => { const nodes = graph.getAllNodes(); const nodeStack: INode[] = []; - //Assist to determine whether it is already in the stack to reduce the search overhead + // Assist to determine whether it is already in the stack to reduce the search overhead const inStack: { [key: NodeID]: boolean } = {}; const indices: { [key: NodeID]: number } = {}; const lowLink: { [key: NodeID]: number } = {}; @@ -65,7 +65,7 @@ export const detectStrongConnectComponents = (graph: Graph): INode[][] => { for (let i = 0; i < relatedEdges.length; i++) { const targetNodeID = relatedEdges[i].target; if (!indices[targetNodeID] && indices[targetNodeID] !== 0) { - const targetNode = nodes.filter(node => node.id === targetNodeID) + const targetNode = nodes.filter((node) => node.id === targetNodeID); if (targetNode.length > 0) { getComponent(targetNode[0]); } @@ -96,7 +96,7 @@ export const detectStrongConnectComponents = (graph: Graph): INode[][] => { } } return allComponents; -} +}; export function getConnectedComponents(graph: Graph, directed?: boolean): INode[][] { if (directed) return detectStrongConnectComponents(graph); diff --git a/packages/graph/src/cosine-similarity.ts b/packages/graph/src/cosine-similarity.ts index 554623b..9f5b5f7 100644 --- a/packages/graph/src/cosine-similarity.ts +++ b/packages/graph/src/cosine-similarity.ts @@ -24,4 +24,4 @@ export const cosineSimilarity = ( // Calculate the cosine similarity between the item vector and the target element vector const cosineSimilarity = norm2Product ? dot / norm2Product : 0; return cosineSimilarity; -} +}; diff --git a/packages/graph/src/index.ts b/packages/graph/src/index.ts index 1d94226..7239410 100644 --- a/packages/graph/src/index.ts +++ b/packages/graph/src/index.ts @@ -9,4 +9,4 @@ export * from './dfs'; export * from './cosine-similarity'; export * from './nodes-cosine-similarity'; export * from './gaddi'; -export * from './connected-component' \ No newline at end of file +export * from './connected-component'; \ No newline at end of file diff --git a/packages/graph/src/nodes-cosine-similarity.ts b/packages/graph/src/nodes-cosine-similarity.ts index 9ef5201..9687326 100644 --- a/packages/graph/src/nodes-cosine-similarity.ts +++ b/packages/graph/src/nodes-cosine-similarity.ts @@ -21,8 +21,8 @@ export const nodesCosineSimilarity = ( allCosineSimilarity: number[], similarNodes: NodeSimilarity[], } => { - const similarNodes = clone(nodes.filter(node => node.id !== seedNode.id)); - const seedNodeIndex = nodes.findIndex(node => node.id === seedNode.id); + const similarNodes = clone(nodes.filter((node) => node.id !== seedNode.id)); + const seedNodeIndex = nodes.findIndex((node) => node.id === seedNode.id); // Collection of all node properties const properties = getAllProperties(nodes); // One-hot feature vectors for all node properties @@ -40,4 +40,4 @@ export const nodesCosineSimilarity = ( // Sort the returned nodes according to cosine similarity similarNodes.sort((a: NodeSimilarity, b: NodeSimilarity) => b.data.cosineSimilarity - a.data.cosineSimilarity); return { allCosineSimilarity, similarNodes }; -} +}; diff --git a/packages/graph/src/utils.ts b/packages/graph/src/utils.ts index 57db083..da5ca4d 100644 --- a/packages/graph/src/utils.ts +++ b/packages/graph/src/utils.ts @@ -88,7 +88,7 @@ export const oneHot = (dataList: PlainObject[], involvedKeys?: string[], uninvol export const dataTransformer = (data: { nodes: { id: NodeID, [key: string]: any }[], edges: { source: NodeID, target: NodeID, [key: string]: any }[] }): { nodes: INode[], edges: IEdge[] } => { const { nodes, edges } = data; return { - nodes: nodes.map(n => { + nodes: nodes.map((n) => { const { id, ...rest } = n; return { id, data: rest }; }), @@ -96,5 +96,5 @@ export const dataTransformer = (data: { nodes: { id: NodeID, [key: string]: any const { id, source, target, ...rest } = e; return { id: id ? id : `edge-${i}`, target, source, data: rest }; }), - } -} \ No newline at end of file + }; +}; \ No newline at end of file From b385afb97db0ac788465fe6856dc16678c82488f Mon Sep 17 00:00:00 2001 From: zqqcee Date: Mon, 18 Sep 2023 11:30:06 +0800 Subject: [PATCH 4/5] fix: move 'dataTransformer' into test dir --- __tests__/unit/connected-component.spec.ts | 2 +- __tests__/utils/data.ts | 19 +++++++++++++++++++ packages/graph/src/index.ts | 3 --- packages/graph/src/utils.ts | 19 ------------------- 4 files changed, 20 insertions(+), 23 deletions(-) create mode 100644 __tests__/utils/data.ts diff --git a/__tests__/unit/connected-component.spec.ts b/__tests__/unit/connected-component.spec.ts index 150e035..9335c3b 100644 --- a/__tests__/unit/connected-component.spec.ts +++ b/__tests__/unit/connected-component.spec.ts @@ -1,7 +1,7 @@ import { getConnectedComponents } from "../../packages/graph/src"; import { Graph } from "@antv/graphlib"; import connectedTestData from '../data/connected-test-data.json'; -import { dataTransformer } from "../../packages/graph/src/utils"; +import { dataTransformer } from "../utils/data"; const data = { nodes: [ diff --git a/__tests__/utils/data.ts b/__tests__/utils/data.ts new file mode 100644 index 0000000..9c131d7 --- /dev/null +++ b/__tests__/utils/data.ts @@ -0,0 +1,19 @@ +import { NodeID, INode, IEdge } from "../../packages/graph/src/types"; +/** + * Convert the old version of the data format to the new version + * @param data old data + * @return {{nodes:INode[],edges:IEdge[]}} new data + */ +export const dataTransformer = (data: { nodes: { id: NodeID, [key: string]: any }[], edges: { source: NodeID, target: NodeID, [key: string]: any }[] }): { nodes: INode[], edges: IEdge[] } => { + const { nodes, edges } = data; + return { + nodes: nodes.map((n) => { + const { id, ...rest } = n; + return { id, data: rest }; + }), + edges: edges.map((e, i) => { + const { id, source, target, ...rest } = e; + return { id: id ? id : `edge-${i}`, target, source, data: rest }; + }), + }; +}; diff --git a/packages/graph/src/index.ts b/packages/graph/src/index.ts index 4b7e978..816e8b7 100644 --- a/packages/graph/src/index.ts +++ b/packages/graph/src/index.ts @@ -9,8 +9,5 @@ export * from './dfs'; export * from './cosine-similarity'; export * from './nodes-cosine-similarity'; export * from './gaddi'; -<<<<<<< HEAD export * from './connected-component'; -======= export * from './mst'; ->>>>>>> upstream/next diff --git a/packages/graph/src/utils.ts b/packages/graph/src/utils.ts index 3581884..12c0918 100644 --- a/packages/graph/src/utils.ts +++ b/packages/graph/src/utils.ts @@ -77,22 +77,3 @@ export const oneHot = (dataList: PlainObject[], involvedKeys?: string[], uninvol }); return oneHotCode; }; - -/** - * Convert the old version of the data format to the new version - * @param data old data - * @return {{nodes:INode[],edges:IEdge[]}} new data - */ -export const dataTransformer = (data: { nodes: { id: NodeID, [key: string]: any }[], edges: { source: NodeID, target: NodeID, [key: string]: any }[] }): { nodes: INode[], edges: IEdge[] } => { - const { nodes, edges } = data; - return { - nodes: nodes.map((n) => { - const { id, ...rest } = n; - return { id, data: rest }; - }), - edges: edges.map((e, i) => { - const { id, source, target, ...rest } = e; - return { id: id ? id : `edge-${i}`, target, source, data: rest }; - }), - }; -}; From 45b3b007a1622bcb0689dfb3d8bed5897480bff0 Mon Sep 17 00:00:00 2001 From: zqqcee Date: Mon, 18 Sep 2023 18:03:50 +0800 Subject: [PATCH 5/5] fix: remove unnecessary type --- packages/graph/src/utils.ts | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/packages/graph/src/utils.ts b/packages/graph/src/utils.ts index 12c0918..e383a1f 100644 --- a/packages/graph/src/utils.ts +++ b/packages/graph/src/utils.ts @@ -1,5 +1,5 @@ import { Node, PlainObject } from "@antv/graphlib"; -import { KeyValueMap, NodeData, NodeID, INode, IEdge } from "./types"; +import { KeyValueMap, NodeData } from "./types"; import { uniq } from "@antv/util"; export const getAllProperties = (nodes: Node[]) => {