graph.putEdgeValue(4, 4, "valueD");

    assertThat(graph.edgeValueOrDefault(1, 2, null)).isEqualTo("valueA");
    assertThat(graph.edgeValueOrDefault(2, 1, null)).isEqualTo("valueB");
    assertThat(graph.edgeValueOrDefault(2, 3, null)).isEqualTo("valueC");
    assertThat(graph.edgeValueOrDefault(4, 4, null)).isEqualTo("valueD");
    assertThat(graph.edgeValueOrDefault(1, 2, DEFAULT)).isEqualTo("valueA");

    graph.putEdgeValue(4, 4, "valueD");

    assertThat(graph.edgeValueOrDefault(1, 2, null)).isEqualTo("valueA");
    assertThat(graph.edgeValueOrDefault(2, 1, null)).isEqualTo("valueB");
    assertThat(graph.edgeValueOrDefault(2, 3, null)).isEqualTo("valueC");
    assertThat(graph.edgeValueOrDefault(4, 4, null)).isEqualTo("valueD");
    assertThat(graph.edgeValueOrDefault(1, 2, DEFAULT)).isEqualTo("valueA");

      }
    };
  }

  @Override
  public Optional<V> edgeValue(N nodeU, N nodeV) {
    return Optional.ofNullable(edgeValueOrDefault(nodeU, nodeV, null));
  }

  @Override
  public Optional<V> edgeValue(EndpointPair<N> endpoints) {
    return Optional.ofNullable(edgeValueOrDefault(endpoints, null));
  }

  @Override
  public final boolean equals(@CheckForNull Object obj) {
    if (obj == this) {

  }

  @Override
  @CheckForNull
  public V edgeValueOrDefault(N nodeU, N nodeV, @CheckForNull V defaultValue) {
    return edgeValueOrDefaultInternal(checkNotNull(nodeU), checkNotNull(nodeV), defaultValue);
  }

  @Override
  @CheckForNull
  public V edgeValueOrDefault(EndpointPair<N> endpoints, @CheckForNull V defaultValue) {
    validateEndpoints(endpoints);

    return Maps.asMap(
        graph.edges(),
        edge ->
            // requireNonNull is safe because the endpoint pair comes from the graph.
            requireNonNull(graph.edgeValueOrDefault(edge.nodeU(), edge.nodeV(), null)));
  }

   * otherwise, returns {@code defaultValue}.
   *
   * <p>In an undirected graph, this is equal to {@code edgeValueOrDefault(nodeV, nodeU,
   * defaultValue)}.
   *
   * @throws IllegalArgumentException if {@code nodeU} or {@code nodeV} is not an element of this
   *     graph
   */
  @CheckForNull
  V edgeValueOrDefault(N nodeU, N nodeV, @CheckForNull V defaultValue);

  /**

    assertThat(transpose).isEqualTo(expectedTranspose);
    assertThat(transpose(transpose)).isSameInstanceAs(directedGraph);
    AbstractGraphTest.validateGraph(transpose.asGraph());

    assertThat(transpose.edgeValueOrDefault(N1, N2, null)).isNull();
    for (Integer node : directedGraph.nodes()) {
      assertThat(directedGraph.inDegree(node)).isSameInstanceAs(transpose.outDegree(node));