void addEdge(Vertex from, Vertex to) throws CycleDetectedException {
        from.children.add(to);
        to.parents.add(from);
        List<String> cycle = findCycle(to);
        if (cycle != null) {
            // remove edge which introduced cycle
            removeEdge(from, to);
            throw new CycleDetectedException(

     */
    private final Map<PathType, List<Path>> dispatchedPaths;

    /**
     * The dependencies together with the path to each dependency.
     */
    private final Map<Dependency, Path> dependencies;

    /**
     * Information about modules in the main output. This field is initially null and is set to a non-null

     * either on the class-path or on the module-path. The project needs to make a choice
     * (possibly using heuristic rules), then to add the dependency in only one of the options
     * identified by {@link PathType}.</p>
     *
     * @return file paths to place on the different tool options
     */
    @Nonnull
    Map<PathType, List<Path>> getDispatchedPaths();

    @Nonnull

     * parent and child completely decoupled by injecting deep copies of objects into the child rather than the original
     * objects from the parent.
     *
     * @param child The child model into which to merge the values inherited from the parent, must not be
     *            <code>null</code>.
     * @param parent The (read-only) parent model from which to inherit the values, may be <code>null</code>.

     * from the information that is available at the point the problem occurs and as such merely serves as a best effort
     * to provide information to the user to track the problem back to its origin.
     *
     * @return The identifier of the model from which the problem originated or an empty string if unknown, never
     *         {@code null}.
     */
    String getModelId();

/*
 * Licensed to the Apache Software Foundation (ASF) under one
 * or more contributor license agreements.  See the NOTICE file
 * distributed with this work for additional information
 * regarding copyright ownership.  The ASF licenses this file
 * to you under the Apache License, Version 2.0 (the
 * "License"); you may not use this file except in compliance
 * with the License.  You may obtain a copy of the License at
 *

/*
 * Licensed to the Apache Software Foundation (ASF) under one
 * or more contributor license agreements.  See the NOTICE file
 * distributed with this work for additional information
 * regarding copyright ownership.  The ASF licenses this file
 * to you under the Apache License, Version 2.0 (the
 * "License"); you may not use this file except in compliance
 * with the License.  You may obtain a copy of the License at
 *

     * of the child. The general idea is to adjust inherited URLs to match the project layout (in SCM).
     *
     * <p>This calculation is only a heuristic based on our conventions.
     * In detail, the algo relies on the following assumptions: <ul>
     * <li>The parent uses aggregation and refers to the child via the modules section</li>

     * injection. Still, for Plexus to be able to instantiate this class, default ctor is needed.
     *
     * @deprecated Should not be used in Java code.
     */
    @Deprecated
    public DefaultLifecycleMapping() {}

    /**
     * Ctor to be used in Java code/providers.
     */
    public DefaultLifecycleMapping(final List<Lifecycle> lifecycles) {

        /*
         * NOTE: This should be considered a quirk to support interop with Maven's legacy ArtifactDeployer which
         * processes one artifact at a time and hence cannot associate the artifacts from the same project to use the
         * same version index. Allowing the caller to pass in metadata from a previous deployment allows to re-establish
         * the association between the artifacts of the same project.