count = vertices.size() + vertices.size() / 2;
        }

        checkEdges(count);
    }

    private void checkEdges(int nEdges) {
        if (incidentEdges == null) {
            incidentEdges = new HashMap<>(nEdges);
        }
        if (excidentEdges == null) {
            excidentEdges = new HashMap<>(nEdges);
        }
    }

      @Override
      public Set<N> successors(N node) {
        return AbstractBaseGraph.this.successors(node);
      }

      @Override
      public Set<EndpointPair<N>> incidentEdges(N node) {
        return AbstractBaseGraph.this.incidentEdges(node);
      }

      @Override
      public Set<EndpointPair<N>> inEdges(N node) {
        checkNotNull(node);
        checkArgument(nodes().contains(node));

    addNode(N1);
    Set<EndpointPair<Integer>> incidentEdges = graph.incidentEdges(N1);
    assertThrows(
        UnsupportedOperationException.class,
        () -> incidentEdges.add(EndpointPair.unordered(N1, N2)));
    putEdge(N1, N2);
    assertThat(incidentEdges).containsExactlyElementsIn(graph.incidentEdges(N1));
  }

  @Test
  public void predecessors_oneEdge() {
    putEdge(N1, N2);

    addNode(N1);
    Set<EndpointPair<Integer>> incidentEdges = graph.incidentEdges(N1);
    assertThrows(
        UnsupportedOperationException.class,
        () -> incidentEdges.add(EndpointPair.unordered(N1, N2)));
    putEdge(N1, N2);
    assertThat(incidentEdges).containsExactlyElementsIn(graph.incidentEdges(N1));
  }

  @Test
  public void predecessors_oneEdge() {
    putEdge(N1, N2);

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

    addNode(N1);
    Set<EndpointPair<Integer>> incidentEdges = graph.incidentEdges(N1);
    assertThrows(
        UnsupportedOperationException.class, () -> incidentEdges.add(EndpointPair.ordered(N1, N2)));
    putEdge(N1, N2);
    assertThat(incidentEdges).containsExactlyElementsIn(graph.incidentEdges(N1));
  }

  @Test
  public void predecessors_oneEdge() {
    putEdge(N1, N2);

  public Set<E> adjacentEdges(E edge) {
    EndpointPair<N> endpointPair = incidentNodes(edge); // Verifies that edge is in this network.
    Set<E> endpointPairIncidentEdges =
        Sets.union(incidentEdges(endpointPair.nodeU()), incidentEdges(endpointPair.nodeV()));
    return edgeInvalidatableSet(
        Sets.difference(endpointPairIncidentEdges, ImmutableSet.of(edge)), edge);
  }

  @Override

  /**
   * Returns the count of {@code node}'s {@link #incidentEdges(Object) incident edges}, counting
   * self-loops twice (equivalently, the number of times an edge touches {@code node}).
   *
   * <p>For directed networks, this is equal to {@code inDegree(node) + outDegree(node)}.
   *
   * <p>For undirected networks, this is equal to {@code incidentEdges(node).size()} + (number of
   * self-loops incident to {@code node}).

   */
  @Override
  Set<EndpointPair<N>> incidentEdges(N node);

  /**
   * Returns the count of {@code node}'s incident edges, counting self-loops twice (equivalently,
   * the number of times an edge touches {@code node}).
   *
   * <p>For directed graphs, this is equal to {@code inDegree(node) + outDegree(node)}.
   *
   * <p>For undirected graphs, this is equal to {@code incidentEdges(node).size()} + (number of

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

  @Override
  @Test
  public void adjacentNodes_checkReturnedSetMutability() {

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

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

  @Override
  @Test
  public void adjacentNodes_checkReturnedSetMutability() {