c#检测客户端与服务器的断开连接

我有一台服务器和两个winform客户端（用于tictactoe游戏）。我能立即检测到客户端断开连接吗？。第一个打开的客户端是player1套接字，第二个是player2。一旦两个客户端都连接好，player1必须单击一个按钮，player2的按钮都将被禁用。在player1点击按钮后，player2按钮被启用，player1按钮被禁用。。。也是如此

isConnected方法

public  bool IsConnected(Socket socket)
{
    try
    {
        return !(socket.Poll(1, SelectMode.SelectRead) && socket.Available == 0);
    }
    catch (SocketException) { return false; }
}

服务器代码

public class ServerApp
{
    public Socket serverSocket;
    Socket player1;
    Socket player2;
    ServerGame myGame;
    public ServerApp()
    {
        myGame = new ServerGame();
        serverSocket = new Socket(AddressFamily.InterNetwork, SocketType.Stream, 
                                  ProtocolType.Tcp);
        IPEndPoint ipLocal = new IPEndPoint(IPAddress.Parse("127.0.0.1"), 8221);
        serverSocket.Bind(ipLocal);
        serverSocket.Listen(4);
        Console.WriteLine("Waiting for clients ...");
        player1 = serverSocket.Accept();
        Console.WriteLine("Player 1 joined");
        player2 = serverSocket.Accept();
        Console.WriteLine("Player 2 joined");
        myGame.InitGame();
        while (true)
        {
            try
            {
                myGame.Display();
                Console.WriteLine();
                myGame.Send(player1, BaseGame.Player.One);
                myGame.Send(player2, BaseGame.Player.Two);
                if (myGame.GetActivePlayer() == BaseGame.Player.One && 
                    myGame.IsConnected(player1)==true)
                {
                    myGame.Receive(player1);                       
                }
                else if(myGame.IsConnected(player1) == true)
                {
                    myGame.Receive(player2);
                }
            }
            catch(Exception e)
            {
                Console.WriteLine(e);
                Thread.Sleep(1000);                    
            }
        }
        Console.WriteLine("Server going down");
        Thread.Sleep(2000);
    }
}
class Program
{
    static void Main(string[] args)
    {
        ServerApp serverApp = new ServerApp();
    }
}