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

  @Override
  @Test
  public void outEdges_checkReturnedSetMutability() {
    addNode(N1);

            .contains(inEdge);
        if (network.isDirected()) {
          assertThat(network.incidentNodes(inEdge).target()).isEqualTo(node);
        }
      }

      for (E outEdge : sanityCheckSet(network.outEdges(node))) {
        assertThat(network.incidentEdges(node)).contains(outEdge);

    assume().that(graphIsMutable()).isTrue();

    addNode(N2);
    Set<String> inEdges = network.inEdges(N2);
    assertThrows(UnsupportedOperationException.class, () -> inEdges.add(E12));
    addEdge(N1, N2, E12);
    assertThat(network.inEdges(N2)).containsExactlyElementsIn(inEdges);
  }

  @Override
  @Test
  public void outEdges_checkReturnedSetMutability() {

    assume().that(graphIsMutable()).isTrue();

    addNode(N2);
    Set<String> inEdges = network.inEdges(N2);
    assertThrows(UnsupportedOperationException.class, () -> inEdges.add(E12));
    addEdge(N1, N2, E12);
    assertThat(network.inEdges(N2)).containsExactlyElementsIn(inEdges);
  }

  @Override
  @Test
  public void outEdges_checkReturnedSetMutability() {

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

  @Override
  @Test
  public void outEdges_checkReturnedSetMutability() {
    addNode(N1);

  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))),
        nodeU,
        nodeV);
  }

  @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))),
        nodeU,
        nodeV);
  }

  @Override

    return nodePairInvalidatableSet(connectionsU.edgesConnecting(nodeV), nodeU, nodeV);
  }

  @Override
  public Set<E> inEdges(N node) {
    return nodeInvalidatableSet(checkedConnections(node).inEdges(), node);
  }

  @Override
  public Set<E> outEdges(N node) {
    return nodeInvalidatableSet(checkedConnections(node).outEdges(), node);
  }

  @Override

    return nodePairInvalidatableSet(connectionsU.edgesConnecting(nodeV), nodeU, nodeV);
  }

  @Override
  public Set<E> inEdges(N node) {
    return nodeInvalidatableSet(checkedConnections(node).inEdges(), node);
  }

  @Override
  public Set<E> outEdges(N node) {
    return nodeInvalidatableSet(checkedConnections(node).outEdges(), node);
  }

  @Override

  /**
   * 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