如果你需要一个使用较少内存的根树数据结构实现，你可以这样写你的Node类(c++实现):

class Node {
       Node* parent;
       int item; // depending on your needs

       Node* firstChild; //pointer to left most child of node
       Node* nextSibling; //pointer to the sibling to the right
}

具有通用数据的树

using System;
using System.Collections.Concurrent;
using System.Collections.Generic;
using System.Linq;
using System.Threading;
using System.Threading.Tasks;

public class Tree<T>
{
    public T Data { get; set; }
    public LinkedList<Tree<T>> Children { get; set; } = new LinkedList<Tree<T>>();
    public Task Traverse(Func<T, Task> actionOnNode, int maxDegreeOfParallelism = 1) => Traverse(actionOnNode, new SemaphoreSlim(maxDegreeOfParallelism, maxDegreeOfParallelism));
    private async Task Traverse(Func<T, Task> actionOnNode, SemaphoreSlim semaphore)
    {
        await actionOnNode(Data);
        SafeRelease(semaphore);
        IEnumerable<Task> tasks = Children.Select(async input =>
        {
            await semaphore.WaitAsync().ConfigureAwait(false);
            try
            {
                await input.Traverse(actionOnNode, semaphore).ConfigureAwait(false);
            }
            finally
            {
                SafeRelease(semaphore);
            }
        });
        await Task.WhenAll(tasks);
    }
    private void SafeRelease(SemaphoreSlim semaphore)
    {
        try
        {
            semaphore.Release();
        }
        catch (Exception ex)
        {
            if (ex.Message.ToLower() != "Adding the specified count to the semaphore would cause it to exceed its maximum count.".ToLower())
            {
                throw;
            }
        }
    }

    public async Task<IEnumerable<T>> ToList()
    {
        ConcurrentBag<T> lst = new ConcurrentBag<T>();
        await Traverse(async (data) => lst.Add(data));
        return lst;
    }
    public async Task<int> Count() => (await ToList()).Count();
}

单元测试

using System.Threading.Tasks;
using Xunit;

public class Tree_Tests
{
    [Fact]
    public async Task Tree_ToList_Count()
    {
        Tree<int> head = new Tree<int>();

        Assert.NotEmpty(await head.ToList());
        Assert.True(await head.Count() == 1);

        // child
        var child = new Tree<int>();
        head.Children.AddFirst(child);
        Assert.True(await head.Count() == 2);
        Assert.NotEmpty(await head.ToList());

        // grandson
        child.Children.AddFirst(new Tree<int>());
        child.Children.AddFirst(new Tree<int>());
        Assert.True(await head.Count() == 4);
        Assert.NotEmpty(await head.ToList());
    }

    [Fact]
    public async Task Tree_Traverse()
    {
        Tree<int> head = new Tree<int>() { Data = 1 };

        // child
        var child = new Tree<int>() { Data = 2 };
        head.Children.AddFirst(child);

        // grandson
        child.Children.AddFirst(new Tree<int>() { Data = 3 });
        child.Children.AddLast(new Tree<int>() { Data = 4 });

        int counter = 0;
        await head.Traverse(async (data) => counter += data);
        Assert.True(counter == 10);

        counter = 0;
        await child.Traverse(async (data) => counter += data);
        Assert.True(counter == 9);

        counter = 0;
        await child.Children.First!.Value.Traverse(async (data) => counter += data);
        Assert.True(counter == 3);

        counter = 0;
        await child.Children.Last!.Value.Traverse(async (data) => counter += data);
        Assert.True(counter == 4);
    }
}

下面是我实现的BST:

class BST
{
    public class Node
    {
        public Node Left { get; set; }
        public object Data { get; set; }
        public Node Right { get; set; }

        public Node()
        {
            Data = null;
        }

        public Node(int Data)
        {
            this.Data = (object)Data;
        }

        public void Insert(int Data)
        {
            if (this.Data == null)
            {
                this.Data = (object)Data;
                return;
            }
            if (Data > (int)this.Data)
            {
                if (this.Right == null)
                {
                    this.Right = new Node(Data);
                }
                else
                {
                    this.Right.Insert(Data);
                }
            }
            if (Data <= (int)this.Data)
            {
                if (this.Left == null)
                {
                    this.Left = new Node(Data);
                }
                else
                {
                    this.Left.Insert(Data);
                }
            }
        }

        public void TraverseInOrder()
        {
            if(this.Left != null)
                this.Left.TraverseInOrder();
            Console.Write("{0} ", this.Data);
            if (this.Right != null)
                this.Right.TraverseInOrder();
        }
    }

    public Node Root { get; set; }
    public BST()
    {
        Root = new Node();
    }
}

我对解做了一些扩展。

使用递归泛型声明和派生子类，可以更好地专注于实际目标。

注意，它不同于非泛型实现，你不需要将'node'转换为'NodeWorker'。

以下是我的例子:

public class GenericTree<T> where T : GenericTree<T> // recursive constraint
{
  // no specific data declaration

  protected List<T> children;

  public GenericTree()
  {
    this.children = new List<T>();
  }

  public virtual void AddChild(T newChild)
  {
    this.children.Add(newChild);
  }

  public void Traverse(Action<int, T> visitor)
  {
    this.traverse(0, visitor);
  }

  protected virtual void traverse(int depth, Action<int, T> visitor)
  {
    visitor(depth, (T)this);
    foreach (T child in this.children)
      child.traverse(depth + 1, visitor);
  }
}

public class GenericTreeNext : GenericTree<GenericTreeNext> // concrete derivation
{
  public string Name {get; set;} // user-data example

  public GenericTreeNext(string name)
  {
    this.Name = name;
  }
}

static void Main(string[] args)
{
  GenericTreeNext tree = new GenericTreeNext("Main-Harry");
  tree.AddChild(new GenericTreeNext("Main-Sub-Willy"));
  GenericTreeNext inter = new GenericTreeNext("Main-Inter-Willy");
  inter.AddChild(new GenericTreeNext("Inter-Sub-Tom"));
  inter.AddChild(new GenericTreeNext("Inter-Sub-Magda"));
  tree.AddChild(inter);
  tree.AddChild(new GenericTreeNext("Main-Sub-Chantal"));
  tree.Traverse(NodeWorker);
}

static void NodeWorker(int depth, GenericTreeNext node)
{                                // a little one-line string-concatenation (n-times)
  Console.WriteLine("{0}{1}: {2}", String.Join("   ", new string[depth + 1]), depth, node.Name);
}

这是我的，和艾伦·盖奇的很相似，只是在我看来更传统一点。就我而言，我使用List<T>时没有遇到任何性能问题。如果需要，切换到LinkedList是很容易的。

namespace Overby.Collections
{
    public class TreeNode<T>
    {
        private readonly T _value;
        private readonly List<TreeNode<T>> _children = new List<TreeNode<T>>();

        public TreeNode(T value)
        {
            _value = value;
        }

        public TreeNode<T> this[int i]
        {
            get { return _children[i]; }
        }

        public TreeNode<T> Parent { get; private set; }

        public T Value { get { return _value; } }

        public ReadOnlyCollection<TreeNode<T>> Children
        {
            get { return _children.AsReadOnly(); }
        }

        public TreeNode<T> AddChild(T value)
        {
            var node = new TreeNode<T>(value) {Parent = this};
            _children.Add(node);
            return node;
        }

        public TreeNode<T>[] AddChildren(params T[] values)
        {
            return values.Select(AddChild).ToArray();
        }

        public bool RemoveChild(TreeNode<T> node)
        {
            return _children.Remove(node);
        }

        public void Traverse(Action<T> action)
        {
            action(Value);
            foreach (var child in _children)
                child.Traverse(action);
        }

        public IEnumerable<T> Flatten()
        {
            return new[] {Value}.Concat(_children.SelectMany(x => x.Flatten()));
        }
    }
}

我最好的建议是，没有标准的树数据结构，因为有太多的方法可以实现它，不可能用一个解决方案覆盖所有的基础。解决方案越具体，它就越不可能适用于任何给定的问题。我甚至对LinkedList感到恼火——如果我想要一个循环链表呢?

您需要实现的基本结构是一个节点集合，这里有一些选项可以帮助您入门。让我们假设类Node是整个解决方案的基类。

如果您只需要沿着树向下导航，那么Node类需要一个子类的List。

如果需要向上导航树，则Node类需要一个到其父节点的链接。

构建一个AddChild方法来处理这两点的所有细节以及必须实现的任何其他业务逻辑(子限制、子排序等)。