How can I find the distance between 2 points

Hi

I've been working on the shortest path problem and I want to be able to type in a command that finds the distance and the route MATLAB took between 2 points.

And then I want it to highlight the route

This is my code

%Shortest Path Problem%

    clearvars 
    %Distances between each node%
    W = [1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1.41 1.41 1.41 1.41 1.41 1.41 1.41 1.41 1.41 1.41 1.41 1.41 1.41 1.41 1.41 1.41 1.41 1.41 1.41 1.41 1.41 1.41 1.41 1.41 1.41 1.41 1.41 1.41 1.41 1.41 1.41 1.41 1.41 1.41 1.41 1.41 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71];
    %Starting Position%
    S = [1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 13 14 14 15 15 16 16 17 17 18 18 19 19 20 20 1 2 19 3 18 8 13 19 12 3 8 4 7 18 13 17 14 1 19 2 20 2 18 3 19 7 3 4 8 5 7 4 6 18 14 13 17 14 16 17 15 13 9 8 12 3 13 8 18 9 11 10 12 21 8 21 18 21 13 21 3 22 9 22 12 22 10 22 11];
    %Ending Position%
    T = [2 1 3 2 4 3 5 4 6 5 7 6 8 7 9 8 10 9 11 10 12 11 13 12 14 13 15 14 16 15 17 16 18 17 19 18 20 19 1 20 19 2 18 3 13 8 12 9 8 3 7 4 13 18 14 17 19 1 20 2 18 2 19 3 3 7 8 4 7 5 6 4 14 16 17 13 16 14 15 17 9 13 12 8 13 3 18 8 11 9 12 10 8 21 18 21 13 21 3 21 9 22 12 22 10 22 11 12];
    DG = sparse(S,T,W,22,22);
    %Changing the names of the Nodes%
    Names = {'Node1','Node2','Node3','Node4','Node5','Node6','Node7','Node8','Node9','Node10','Node11','Node12','Node13','Node14','Node15','Node16','Node17','Node18','Node19','Node20','Point1','Point2'};
    %Repositioning Nodes%
    %x-coordinates%
    x = [1 3 5 5 5 7 7 7 9 11 11 9 7 7 7 5 5 5 3 1 6 10];
    %y-coordinates%
    y = [2 2 2 6 10 10 6 2 2 2 -2 -2 -2 -6 -10 -10 -6 -2 -2 -2 0 0];
    G = digraph(DG,Names);
    plot(G,'XData',x,'YData',y);

Any help would be appreciated

Answer 1

[KL]

use distances https://de.mathworks.com/help/matlab/ref/graph.distances.html

 distances(G)

[Waseem Hussain]

But this doesn't tell me the route it took to get between 2 nodes

Answer 2

[Walter Roberson]

shortestpath(G, source_node, destination_node)

to get the path. You would still want distances(G, source_node, destination_node) to find the weighted distance.

[Waseem Hussain]

It only displays the path it took, I need it to display what was the distance between the points