How to retrive the vertex ID of connected points

Hi

after calculating triangulation I need to examine the distance between two connected points if it is above the threshold I want to save these points in a matrix, but I don't know how to examine the connectivity?

this is my code that I'm trying to fix

k = triangulation(dt,x,y);

ps = k.Points;

[m n]=size(ps);

newPs = [];

for i = 1 : m

for j = 1 : n

      if isConnected(k,ps(i,:),ps(j,:))% for isConnected I should retrieve the vertixId not the x and y coordinates of the vertex , how can I retrieve the vertix IDs

          Dist= sqrt((ps(i, 1) - ps(j, 1)) ^ 2 + (ps(i, 2) - ps(j, 2)) ^ 2);

           if Dist > 1000
              newPs = [ newPs ; ps(i,:)]; 
           end 
      end 
  end

thanks