import { TestGraph } from '../generation/generators/types';
import { PropertyValidationResult } from './types';
/**
 * Validate graph toughness.
 * Toughness measures minimum ratio of removed vertices to resulting components.
 * Higher values indicate more robust graphs.
 * @param graph
 */
export declare const validateToughness: (graph: TestGraph) => PropertyValidationResult;
/**
 * Validate graph integrity.
 * Integrity measures resilience based on vertex removal.
 * Minimizes (removed vertices + largest remaining component).
 * @param graph
 */
export declare const validateIntegrity: (graph: TestGraph) => PropertyValidationResult;
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