/**
 * 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 { IGraph } from '../../interfaces';
import { AbstractEdge, AbstractGraph, AbstractVertex } from './abstract-graph';
export declare class UndirectedVertex<V = any> extends AbstractVertex<V> {
    constructor(key: VertexKey, value?: V);
}
export declare class UndirectedEdge<E = number> extends AbstractEdge<E> {
    endpoints: [VertexKey, VertexKey];
    constructor(v1: VertexKey, v2: VertexKey, weight?: number, value?: E);
}
/**
 * Undirected 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 examples will be generated by unit test
 */
export declare class UndirectedGraph<V = any, E = any, VO extends UndirectedVertex<V> = UndirectedVertex<V>, EO extends UndirectedEdge<E> = UndirectedEdge<E>> extends AbstractGraph<V, E, VO, EO> implements IGraph<V, E, VO, EO> {
    /**
     * Construct an undirected 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 _edgeMap: Map<VO, EO[]>;
    get edgeMap(): Map<VO, EO[]>;
    set edgeMap(v: Map<VO, EO[]>);
    /**
     * Construct an undirected graph from keys with value initializer `v => v`.
     * @template K - Vertex key type.
     * @param keys - Iterable of vertex keys.
     * @returns UndirectedGraph with all keys added.
     * @remarks Time O(V), Space O(V)
     */
    static fromKeys<K extends VertexKey>(keys: Iterable<K>): UndirectedGraph<K, any, UndirectedVertex<K>, UndirectedEdge<any>>;
    /**
     * Construct an undirected graph from `[key, value]` entries.
     * @template V - Vertex value type.
     * @param entries - Iterable of `[key, value]` pairs.
     * @returns UndirectedGraph with all vertices added.
     * @remarks Time O(V), Space O(V)
     */
    static fromEntries<V>(entries: Iterable<[VertexKey, V]>): UndirectedGraph<V, any, UndirectedVertex<V>, UndirectedEdge<any>>;
    /**
     * Create an undirected 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 an undirected edge instance. Does not insert into the graph.
     * @param v1 - One endpoint key.
     * @param v2 - The other endpoint key.
     * @param weight - Edge weight; defaults to `defaultEdgeWeight`.
     * @param value - Edge payload.
     * @returns Concrete edge instance.
     * @remarks Time O(1), Space O(1)
     */
    createEdge(v1: VertexKey, v2: VertexKey, weight?: number, value?: EO['value']): EO;
    /**
     * Get an undirected edge between two vertices, if present.
     * @param v1 - One vertex or key.
     * @param v2 - The other vertex or key.
     * @returns Edge instance or `undefined`.
     * @remarks Time O(1) avg, Space O(1)
     */
    getEdge(v1: VO | VertexKey | undefined, v2: VO | VertexKey | undefined): EO | undefined;
    /**
     * Delete a single undirected edge between two vertices.
     * @param v1 - One vertex or key.
     * @param v2 - The other vertex or key.
     * @returns Removed edge or `undefined`.
     * @remarks Time O(1) avg, Space O(1)
     */
    deleteEdgeBetween(v1: VO | VertexKey, v2: VO | VertexKey): EO | undefined;
    /**
     * Delete an edge by instance or by a pair of keys.
     * @param edgeOrOneSideVertexKey - Edge instance or one endpoint vertex/key.
     * @param otherSideVertexKey - Required second endpoint when deleting by pair.
     * @returns Removed edge or `undefined`.
     * @remarks Time O(1) avg, Space O(1)
     */
    deleteEdge(edgeOrOneSideVertexKey: EO | VertexKey, otherSideVertexKey?: VertexKey): EO | undefined;
    /**
     * Delete a vertex and remove it from all neighbor lists.
     * @param vertexOrKey - Vertex or key.
     * @returns `true` if removed; otherwise `false`.
     * @remarks Time O(deg), Space O(1)
     */
    deleteVertex(vertexOrKey: VO | VertexKey): boolean;
    /**
     * Degree of a vertex (# of incident undirected edges).
     * @param vertexOrKey - Vertex or key.
     * @returns Non-negative integer.
     * @remarks Time O(1) avg, Space O(1)
     */
    degreeOf(vertexOrKey: VertexKey | VO): number;
    /**
     * Incident undirected edges of a vertex.
     * @param vertexOrKey - Vertex or key.
     * @returns Array of incident edges.
     * @remarks Time O(deg), Space O(deg)
     */
    edgesOf(vertexOrKey: VertexKey | VO): EO[];
    /**
     * Unique set of undirected edges across endpoints.
     * @returns Array of edges.
     * @remarks Time O(E), Space O(E)
     */
    edgeSet(): EO[];
    getNeighbors(vertexOrKey: VO | VertexKey): VO[];
    /**
     * Resolve an edge's two endpoints to vertex instances.
     * @param edge - Edge instance.
     * @returns `[v1, v2]` 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-based bridge and articulation point detection.
     * @returns `{ dfnMap, lowMap, bridges, cutVertices }`.
     * @remarks Time O(V + E), Space O(V + E)
     */
    tarjan(): {
        dfnMap: Map<VO, number>;
        lowMap: Map<VO, number>;
        bridges: EO[];
        cutVertices: VO[];
    };
    /**
     * Get bridges discovered by `tarjan()`.
     * @returns Array of edges that are bridges.
     * @remarks Time O(B), Space O(1)
     */
    getBridges(): EO[];
    /**
     * Get articulation points discovered by `tarjan()`.
     * @returns Array of cut vertices.
     * @remarks Time O(C), Space O(1)
     */
    getCutVertices(): 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>;
    /**
     * Internal hook to attach an undirected edge into adjacency maps.
     * @param edge - Edge instance.
     * @returns `true` if both endpoints exist; otherwise `false`.
     * @remarks Time O(1) avg, Space O(1)
     */
    protected _addEdge(edge: EO): boolean;
}