assertThat(graphA.nodeOrder()).isEqualTo(graphB.nodeOrder());

    assertThat(graphA).isEqualTo(graphB);
  }

  static void assertStronglyEquivalent(ValueGraph<?, ?> graphA, ValueGraph<?, ?> graphB) {
    // Properties not covered by equals()
    assertThat(graphA.allowsSelfLoops()).isEqualTo(graphB.allowsSelfLoops());
    assertThat(graphA.nodeOrder()).isEqualTo(graphB.nodeOrder());

  private final ElementOrder<N> nodeOrder;

  final MapIteratorCache<N, GraphConnections<N, V>> nodeConnections;

  long edgeCount; // must be updated when edges are added or removed

  /** Constructs a graph with the properties specified in {@code builder}. */
  StandardValueGraph(AbstractGraphBuilder<? super N> builder) {
    this(
        builder,
        builder.nodeOrder.<N, GraphConnections<N, V>>createMap(

      Map<E, N> edgeToReferenceNode) {
    this.isDirected = builder.directed;
    this.allowsParallelEdges = builder.allowsParallelEdges;
    this.allowsSelfLoops = builder.allowsSelfLoops;
    this.nodeOrder = builder.nodeOrder.cast();
    this.edgeOrder = builder.edgeOrder.cast();
    // Prefer the heavier "MapRetrievalCache" for nodes if lookup is expensive. This optimizes

      Map<E, N> edgeToReferenceNode) {
    this.isDirected = builder.directed;
    this.allowsParallelEdges = builder.allowsParallelEdges;
    this.allowsSelfLoops = builder.allowsSelfLoops;
    this.nodeOrder = builder.nodeOrder.cast();
    this.edgeOrder = builder.edgeOrder.cast();
    // Prefer the heavier "MapRetrievalCache" for nodes if lookup is expensive. This optimizes

                && successors((N) endpointPair.nodeU()).contains(endpointPair.nodeV());
          }
        };
      }

      @Override
      public ElementOrder<N> nodeOrder() {
        return AbstractNetwork.this.nodeOrder();
      }

      @Override
      public ElementOrder<N> incidentEdgeOrder() {
        // TODO(b/142723300): Return AbstractNetwork.this.incidentEdgeOrder() once Network has that

                && successors((N) endpointPair.nodeU()).contains(endpointPair.nodeV());
          }
        };
      }

      @Override
      public ElementOrder<N> nodeOrder() {
        return AbstractNetwork.this.nodeOrder();
      }

      @Override
      public ElementOrder<N> incidentEdgeOrder() {
        // TODO(b/142723300): Return AbstractNetwork.this.incidentEdgeOrder() once Network has that

    AbstractGraphTest.validateGraph(asGraph);
    assertThat(network.nodes()).isEqualTo(asGraph.nodes());
    assertThat(network.edges().size()).isAtLeast(asGraph.edges().size());
    assertThat(network.nodeOrder()).isEqualTo(asGraph.nodeOrder());
    assertThat(network.isDirected()).isEqualTo(asGraph.isDirected());
    assertThat(network.allowsSelfLoops()).isEqualTo(asGraph.allowsSelfLoops());

    for (E edge : sanityCheckSet(network.edges())) {

public interface Network<N, E> extends SuccessorsFunction<N>, PredecessorsFunction<N> {
  //
  // Network-level accessors
  //

  /** Returns all nodes in this network, in the order specified by {@link #nodeOrder()}. */
  Set<N> nodes();

  /** Returns all edges in this network, in the order specified by {@link #edgeOrder()}. */
  Set<E> edges();

  /**

@Beta
@ElementTypesAreNonnullByDefault
public interface ValueGraph<N, V> extends BaseGraph<N> {
  //
  // ValueGraph-level accessors
  //

  /** Returns all nodes in this graph, in the order specified by {@link #nodeOrder()}. */
  @Override
  Set<N> nodes();

  /** Returns all edges in this graph. */
  @Override
  Set<EndpointPair<N>> edges();

  /**

 * iteration order guarantees.
 *
 * <p>Example usage:
 *
 * <pre>{@code
 * MutableGraph<Integer> graph =
 *     GraphBuilder.directed().nodeOrder(ElementOrder.<Integer>natural()).build();
 * }</pre>
 *
 * @author Joshua O'Madadhain
 * @since 20.0
 */
@Beta
@Immutable
@ElementTypesAreNonnullByDefault
public final class ElementOrder<T> {