@Override
  @Test
  public void outEdges_checkReturnedSetMutability() {
    addNode(N1);
    Set<String> outEdges = network.outEdges(N1);
    assertThrows(UnsupportedOperationException.class, () -> outEdges.add(E12));
    addEdge(N1, N2, E12);
    assertThat(network.outEdges(N1)).containsExactlyElementsIn(outEdges);
  }

  @Override
  @Test
  public void predecessors_checkReturnedSetMutability() {
    addNode(N2);

  }

  @Override
  public Set<E> edgesConnecting(N nodeU, N nodeV) {
    Set<E> outEdgesU = outEdges(nodeU);
    Set<E> inEdgesV = inEdges(nodeV);
    return nodePairInvalidatableSet(
        outEdgesU.size() <= inEdgesV.size()
            ? unmodifiableSet(Sets.filter(outEdgesU, connectedPredicate(nodeU, nodeV)))
            : unmodifiableSet(Sets.filter(inEdgesV, connectedPredicate(nodeV, nodeU))),

  }

  @Override
  public Set<E> edgesConnecting(N nodeU, N nodeV) {
    Set<E> outEdgesU = outEdges(nodeU);
    Set<E> inEdgesV = inEdges(nodeV);
    return nodePairInvalidatableSet(
        outEdgesU.size() <= inEdgesV.size()
            ? unmodifiableSet(Sets.filter(outEdgesU, connectedPredicate(nodeU, nodeV)))
            : unmodifiableSet(Sets.filter(inEdgesV, connectedPredicate(nodeV, nodeU))),

              }
            };
        return nodeInvalidatableSet(incident, node);
      }

      @Override
      public Set<EndpointPair<N>> outEdges(N node) {
        checkNotNull(node);
        checkArgument(nodes().contains(node));
        IncidentEdgeSet<N> incident =
            new IncidentEdgeSet<N>(this, node, IncidentEdgeSet.EdgeType.OUTGOING) {

  /**
   * Returns a live view of the edges whose {@link #incidentNodes(Object) incident nodes} in this
   * network include {@code node}.
   *
   * <p>This is equal to the union of {@link #inEdges(Object)} and {@link #outEdges(Object)}.
   *
   * <p>If {@code node} is removed from the network after this method is called, the {@code Set}
   * {@code view} returned by this method will be invalidated, and will throw {@code

   *         <li>{@code successors(node)}: Connecting edge insertion order
   *         <li>{@code incidentEdges(node)}: Stable order
   *         <li>{@code inEdges(node)}: Edge insertion order
   *         <li>{@code outEdges(node)}: Edge insertion order
   *         <li>{@code adjacentEdges(edge)}: Stable order
   *         <li>{@code edgesConnecting(nodeU, nodeV)}: Edge insertion order
   *       </ul>
   * </ul>
   *
   * @since 29.0

   *         <li>{@code successors(node)}: Connecting edge insertion order
   *         <li>{@code incidentEdges(node)}: Stable order
   *         <li>{@code inEdges(node)}: Edge insertion order
   *         <li>{@code outEdges(node)}: Edge insertion order
   *         <li>{@code adjacentEdges(edge)}: Stable order
   *         <li>{@code edgesConnecting(nodeU, nodeV)}: Edge insertion order
   *       </ul>
   * </ul>
   *
   * @since 29.0

        }

        orderedNodeConnectionsBuilder.add(new NodeConnection.Pred<>(predecessor));
        predecessorCount++;
      } else { // incidentEdge is an outEdge
        checkArgument(incidentEdge.nodeU().equals(thisNode));

        N successor = incidentEdge.nodeV();
        V value = successorNodeToValueFn.apply(successor);