/**
 * data-structure-typed
 *
 * @author Pablo Zeng
 * @copyright Copyright (c) 2022 Pablo Zeng <zrwusa@gmail.com>
 * @license MIT License
 */
import type { GraphOptions, VertexKey } from '../../types';
import { AbstractEdge, AbstractGraph, AbstractVertex } from './abstract-graph';
import { IGraph } from '../../interfaces';
export declare class DirectedVertex<V = any> extends AbstractVertex<V> {
    constructor(key: VertexKey, value?: V);
}
export declare class DirectedEdge<E = any> extends AbstractEdge<E> {
    src: VertexKey;
    dest: VertexKey;
    constructor(src: VertexKey, dest: VertexKey, weight?: number, value?: E);
}
/**
 * Directed graph implementation.
 * @template V - Vertex value type.
 * @template E - Edge value type.
 * @template VO - Concrete vertex class (extends AbstractVertex<V>).
 * @template EO - Concrete edge class (extends AbstractEdge<E>).
 * @remarks Time O(1), Space O(1)
 * @example
 * // basic DirectedGraph vertex and edge creation
 *  // Create a simple directed graph
 *     const graph = new DirectedGraph<string>();
 *
 *     // Add vertices
 *     graph.addVertex('A');
 *     graph.addVertex('B');
 *     graph.addVertex('C');
 *
 *     // Verify vertices exist
 *     console.log(graph.hasVertex('A')); // true;
 *     console.log(graph.hasVertex('B')); // true;
 *     console.log(graph.hasVertex('C')); // true;
 *     console.log(graph.hasVertex('D')); // false;
 *
 *     // Check vertex count
 *     console.log(graph.size); // 3;
 * @example
 * // DirectedGraph edge operations
 *  const graph = new DirectedGraph<string>();
 *
 *     // Add vertices
 *     graph.addVertex('A');
 *     graph.addVertex('B');
 *     graph.addVertex('C');
 *
 *     // Add directed edges
 *     graph.addEdge('A', 'B', 1);
 *     graph.addEdge('B', 'C', 2);
 *     graph.addEdge('A', 'C', 3);
 *
 *     // Verify edges exist
 *     console.log(graph.hasEdge('A', 'B')); // true;
 *     console.log(graph.hasEdge('B', 'C')); // true;
 *     console.log(graph.hasEdge('C', 'B')); // false; // Graph is directed
 *
 *     // Get neighbors of A
 *     const neighborsA = graph.getNeighbors('A');
 *     console.log(neighborsA[0].key); // 'B';
 *     console.log(neighborsA[1].key); // 'C';
 * @example
 * // DirectedGraph dijkstra shortest path for network routing
 *  // Build a weighted directed graph representing network nodes and costs
 *     const network = new DirectedGraph<string>();
 *
 *     // Add network nodes
 *     network.addVertex('Router-A');
 *     network.addVertex('Router-B');
 *     network.addVertex('Router-C');
 *     network.addVertex('Router-D');
 *     network.addVertex('Router-E');
 *
 *     // Add weighted edges (network latency costs)
 *     network.addEdge('Router-A', 'Router-B', 5);
 *     network.addEdge('Router-A', 'Router-C', 10);
 *     network.addEdge('Router-B', 'Router-D', 3);
 *     network.addEdge('Router-C', 'Router-D', 2);
 *     network.addEdge('Router-D', 'Router-E', 4);
 *     network.addEdge('Router-B', 'Router-E', 12);
 *
 *     // Find shortest path from Router-A to Router-E
 *     const { minDist, minPath } = network.dijkstra('Router-A', 'Router-E', true, true) || {
 *       minDist: undefined,
 *       minPath: undefined
 *     };
 *
 *     // Verify shortest path is found
 *     console.log(minDist); // defined;
 *     console.log(minPath); // defined;
 *
 *     // Shortest path should be A -> B -> D -> E with cost 5+3+4=12
 *     // Or A -> C -> D -> E with cost 10+2+4=16
 *     // So the minimum is 12
 *     console.log(minDist); // <= 16;
 *
 *     // Verify path is valid (includes start and end)
 *     console.log(minPath?.[0].key); // 'Router-A';
 *     console.log(minPath?.[minPath.length - 1].key); // 'Router-E';
 */
export declare class DirectedGraph<V = any, E = any, VO extends DirectedVertex<V> = DirectedVertex<V>, EO extends DirectedEdge<E> = DirectedEdge<E>> extends AbstractGraph<V, E, VO, EO> implements IGraph<V, E, VO, EO> {
    /**
     * Construct a directed graph with runtime defaults.
     * @param options - `GraphOptions<V>` (e.g. `vertexValueInitializer`, `defaultEdgeWeight`).
     * @remarks Time O(1), Space O(1)
     */
    constructor(options?: Partial<GraphOptions<V>>);
    protected get _edgeConnector(): string;
    protected _outEdgeMap: Map<VO, EO[]>;
    get outEdgeMap(): Map<VO, EO[]>;
    set outEdgeMap(v: Map<VO, EO[]>);
    protected _inEdgeMap: Map<VO, EO[]>;
    get inEdgeMap(): Map<VO, EO[]>;
    set inEdgeMap(v: Map<VO, EO[]>);
    /**
     * Construct a directed graph from keys with value initializer `v => v`.
     * @template K - Vertex key type.
     * @param keys - Iterable of vertex keys.
     * @returns DirectedGraph with all keys added.
     * @remarks Time O(V), Space O(V)
     */
    static fromKeys<K extends VertexKey>(keys: Iterable<K>): DirectedGraph<K, undefined, DirectedVertex<K>, DirectedEdge<undefined>>;
    /**
     * Construct a directed graph from `[key, value]` entries.
     * @template V - Vertex value type.
     * @param entries - Iterable of `[key, value]` pairs.
     * @returns DirectedGraph with all vertices added.
     * @remarks Time O(V), Space O(V)
     */
    static fromEntries<V>(entries: Iterable<[VertexKey, V]>): DirectedGraph<V, undefined, DirectedVertex<V>, DirectedEdge<undefined>>;
    /**
     * Create a directed vertex instance. Does not insert into the graph.
     * @param key - Vertex identifier.
     * @param value - Optional payload.
     * @returns Concrete vertex instance.
     * @remarks Time O(1), Space O(1)
     */
    createVertex(key: VertexKey, value?: VO['value']): VO;
    /**
     * Create a directed edge instance. Does not insert into the graph.
     * @param src - Source vertex key.
     * @param dest - Destination vertex key.
     * @param weight - Edge weight; defaults to `defaultEdgeWeight`.
     * @param value - Edge payload.
     * @returns Concrete edge instance.
     * @remarks Time O(1), Space O(1)
     */
    createEdge(src: VertexKey, dest: VertexKey, weight?: number, value?: E): EO;
    /**
     * Get the unique edge from `src` to `dest`, if present.
     * @param srcOrKey - Source vertex or key.
     * @param destOrKey - Destination vertex or key.
     * @returns Edge instance or `undefined`.
     * @remarks Time O(1) avg, Space O(1)
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
      * @example
   * // Get edge between vertices
   *  const g = new DirectedGraph();
   *     g.addVertex('A');
   *     g.addVertex('B');
   *     g.addEdge('A', 'B', 5);
   *     const edge = g.getEdge('A', 'B');
   *     console.log(edge?.weight); // 5;
     */
    getEdge(srcOrKey: VO | VertexKey | undefined, destOrKey: VO | VertexKey | undefined): EO | undefined;
    /**
     * Delete edge `src -> dest` if present.
     * @param srcOrKey - Source vertex or key.
     * @param destOrKey - Destination vertex or key.
     * @returns Removed edge or `undefined`.
     * @remarks Time O(1) avg, Space O(1)
     */
    deleteEdgeSrcToDest(srcOrKey: VO | VertexKey, destOrKey: VO | VertexKey): EO | undefined;
    /**
     * Delete an edge by instance or by `(srcKey, destKey)`.
     * @param edgeOrSrcVertexKey - Edge instance or source vertex/key.
     * @param destVertexKey - Optional destination vertex/key when deleting by pair.
     * @returns Removed edge or `undefined`.
     * @remarks Time O(1) avg, Space O(1)
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
      * @example
   * // DirectedGraph deleteEdge and vertex operations
   *  const graph = new DirectedGraph<string>();
   *
   *     // Build a small graph
   *     graph.addVertex('X');
   *     graph.addVertex('Y');
   *     graph.addVertex('Z');
   *     graph.addEdge('X', 'Y', 1);
   *     graph.addEdge('Y', 'Z', 2);
   *
   *     // Delete an edge
   *     graph.deleteEdgeSrcToDest('X', 'Y');
   *     console.log(graph.hasEdge('X', 'Y')); // false;
   *
   *     // Edge in other direction should not exist
   *     console.log(graph.hasEdge('Y', 'X')); // false;
   *
   *     // Other edges should remain
   *     console.log(graph.hasEdge('Y', 'Z')); // true;
   *
   *     // Delete a vertex
   *     graph.deleteVertex('Y');
   *     console.log(graph.hasVertex('Y')); // false;
   *     console.log(graph.size); // 2;
     */
    deleteEdge(edgeOrSrcVertexKey: EO | VertexKey, destVertexKey?: VertexKey): EO | undefined;
    /**
   * Remove a vertex
  
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
    * @example
 * // Remove a vertex
 *  const g = new DirectedGraph();
 *     g.addVertex('A');
 *     g.addVertex('B');
 *     g.addEdge('A', 'B');
 *     g.deleteVertex('A');
 *     console.log(g.hasVertex('A')); // false;
 *     console.log(g.hasEdge('A', 'B')); // false;
   */
    deleteVertex(vertexOrKey: VO | VertexKey): boolean;
    deleteEdgesBetween(v1: VertexKey | VO, v2: VertexKey | VO): EO[];
    /**
     * Incoming edges of a vertex.
     * @param vertexOrKey - Vertex or key.
     * @returns Array of incoming edges.
     * @remarks Time O(deg_in), Space O(deg_in)
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
      * @example
   * // Get incoming edges
   *  const g = new DirectedGraph();
   *     g.addVertex('A');
   *     g.addVertex('B');
   *     g.addVertex('C');
   *     g.addEdge('A', 'C');
   *     g.addEdge('B', 'C');
   *     console.log(g.incomingEdgesOf('C').length); // 2;
     */
    incomingEdgesOf(vertexOrKey: VO | VertexKey): EO[];
    /**
     * Outgoing edges of a vertex.
     * @param vertexOrKey - Vertex or key.
     * @returns Array of outgoing edges.
     * @remarks Time O(deg_out), Space O(deg_out)
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
      * @example
   * // Get outgoing edges
   *  const g = new DirectedGraph();
   *     g.addVertex('A');
   *     g.addVertex('B');
   *     g.addVertex('C');
   *     g.addEdge('A', 'B');
   *     g.addEdge('A', 'C');
   *     console.log(g.outgoingEdgesOf('A').length); // 2;
     */
    outgoingEdgesOf(vertexOrKey: VO | VertexKey): EO[];
    /**
     * Degree (in + out) of a vertex.
     * @param vertexOrKey - Vertex or key.
     * @returns Non-negative integer.
     * @remarks Time O(1) avg, Space O(1)
     */
    degreeOf(vertexOrKey: VertexKey | VO): number;
    inDegreeOf(vertexOrKey: VertexKey | VO): number;
    outDegreeOf(vertexOrKey: VertexKey | VO): number;
    /**
     * All incident edges of a vertex.
     * @param vertexOrKey - Vertex or key.
     * @returns Array of incident edges.
     * @remarks Time O(deg_in + deg_out), Space O(deg_in + deg_out)
     */
    edgesOf(vertexOrKey: VertexKey | VO): EO[];
    getEdgeSrc(e: EO): VO | undefined;
    getEdgeDest(e: EO): VO | undefined;
    /**
     * Direct children reachable by one outgoing edge.
     * @param vertex - Vertex or key.
     * @returns Array of neighbor vertices.
     * @remarks Time O(deg_out), Space O(deg_out)
     */
    getDestinations(vertex: VO | VertexKey | undefined): VO[];
    /**
     * Topological sort if DAG; returns `undefined` if a cycle exists.
     * @param propertyName - `'key'` to map to keys; `'vertex'` to keep instances.
     * @returns Array of keys/vertices, or `undefined` when cycle is found.
     * @remarks Time O(V + E), Space O(V)
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
      * @example
   * // DirectedGraph topologicalSort for task scheduling
   *  const graph = new DirectedGraph<string>();
   *
   *     // Build a DAG (Directed Acyclic Graph) for task dependencies
   *     graph.addVertex('Design');
   *     graph.addVertex('Implement');
   *     graph.addVertex('Test');
   *     graph.addVertex('Deploy');
   *
   *     // Add dependency edges
   *     graph.addEdge('Design', 'Implement', 1); // Design must come before Implement
   *     graph.addEdge('Implement', 'Test', 1); // Implement must come before Test
   *     graph.addEdge('Test', 'Deploy', 1); // Test must come before Deploy
   *
   *     // Topological sort gives valid execution order
   *     const executionOrder = graph.topologicalSort();
   *     console.log(executionOrder); // defined;
   *     console.log(executionOrder); // ['Design', 'Implement', 'Test', 'Deploy'];
   *
   *     // All vertices should be included
   *     console.log(executionOrder?.length); // 4;
     */
    topologicalSort(propertyName?: 'vertex' | 'key'): Array<VO | VertexKey> | undefined;
    /**
   * Get all edges
  
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
    * @example
 * // Get all edges
 *  const g = new DirectedGraph();
 *     g.addVertex('A');
 *     g.addVertex('B');
 *     g.addEdge('A', 'B', 3);
 *     console.log(g.edgeSet().length); // 1;
   */
    edgeSet(): EO[];
    /**
   * Get outgoing neighbors
  
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
    * @example
 * // Get outgoing neighbors
 *  const g = new DirectedGraph();
 *     g.addVertex('A');
 *     g.addVertex('B');
 *     g.addVertex('C');
 *     g.addEdge('A', 'B');
 *     g.addEdge('A', 'C');
 *     const neighbors = g.getNeighbors('A');
 *     console.log(neighbors.map(v => v.key).sort()); // ['B', 'C'];
   */
    getNeighbors(vertexOrKey: VO | VertexKey): VO[];
    /**
     * Resolve an edge's `[src, dest]` endpoints to vertex instances.
     * @param edge - Edge instance.
     * @returns `[src, dest]` or `undefined` if either endpoint is missing.
     * @remarks Time O(1), Space O(1)
     */
    getEndsOfEdge(edge: EO): [VO, VO] | undefined;
    /**
     * Whether the graph has no vertices and no edges.
     * @remarks Time O(1), Space O(1)
     */
    isEmpty(): boolean;
    /**
     * Remove all vertices and edges.
     * @remarks Time O(V + E), Space O(1)
     */
    clear(): void;
    /**
     * Deep clone as the same concrete class.
     * @returns A new graph of the same concrete class (`this` type).
     * @remarks Time O(V + E), Space O(V + E)
     */
    clone(): this;
    /**
     * Tarjan's algorithm for strongly connected components.
     * @returns `{ dfnMap, lowMap, SCCs }`.
     * @remarks Time O(V + E), Space O(V + E)
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
      * @example
   * // Find strongly connected components
   *  const g = new DirectedGraph();
   *     g.addVertex('A');
   *     g.addVertex('B');
   *     g.addVertex('C');
   *     g.addEdge('A', 'B');
   *     g.addEdge('B', 'C');
   *     g.addEdge('C', 'A');
   *     const { SCCs } = g.tarjan();
   *     // A→B→C→A forms one SCC with 3 members
   *     const sccArrays = [...SCCs.values()];
   *     console.log(sccArrays.some(scc => scc.length === 3)); // true;
     */
    tarjan(): {
        dfnMap: Map<VO, number>;
        lowMap: Map<VO, number>;
        SCCs: Map<number, VO[]>;
    };
    /**
     * DFN index map computed by `tarjan()`.
     * @returns Map from vertex to DFN index.
     * @remarks Time O(V), Space O(V)
     */
    getDFNMap(): Map<VO, number>;
    /**
     * LOW link map computed by `tarjan()`.
     * @returns Map from vertex to LOW value.
     * @remarks Time O(V), Space O(V)
     */
    getLowMap(): Map<VO, number>;
    /**
     * Strongly connected components computed by `tarjan()`.
     * @returns Map from SCC id to vertices.
     * @remarks Time O(#SCC + V), Space O(V)
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
      * @example
   * // Get strongly connected components
   *  const g = new DirectedGraph();
   *     g.addVertex(1);
   *     g.addVertex(2);
   *     g.addVertex(3);
   *     g.addEdge(1, 2);
   *     g.addEdge(2, 3);
   *     g.addEdge(3, 1);
   *     const sccs = g.getSCCs(); // Map<number, VO[]>
   *     console.log(sccs.size); // >= 1;
     */
    getSCCs(): Map<number, VO[]>;
    /**
     * Internal hook to attach a directed edge into adjacency maps.
     * @param edge - Edge instance.
     * @returns `true` if inserted; otherwise `false`.
     * @remarks Time O(1) avg, Space O(1)
     */
    protected _addEdge(edge: EO): boolean;
}