I am working on a project where I am attempting to find the central node, I think I heard it called a "Jordan node" of a graph network. I believe the best way to start this would be to run Dijkstra's algorithm and use the best possible path lengths (all weights = 1) to find the central node. But, as seen below, i'm getting unsuspected errors when I use a vertex that is not the first one entered. Some results show path lengths of zeros when that is not possible. Any help would be appreciated. I'm wondering if its an error with how 'dist' updates in the findDist(origin), but i'm not sure how to resolve it.

The input file reads as follows:

8 friends with 5

4 friends with 8

1 friends with 4

1 friends with 5

12 friends with 1

11 friends with 12

11 friends with 3

11 friends with 6

11 friends with 13

11 friends with 7

11 friends with 10

11 friends with 2

11 friends with 9

12 friends with 3

3 friends with 6

6 friends with 13

13 friends with 7

7 friends with 10

10 friends with 2

2 friends with 9

9 friends with 12

Below are results I got using the first, second, and third vertex as start.

Distance from : 8 to 8 : 0

Distance from : 8 to 5 : 1

Distance from : 8 to 4 : 1

Distance from : 8 to 1 : 2

Distance from : 8 to 12 : 3

Distance from : 8 to 11 : 4

Distance from : 8 to 3 : 4

Distance from : 8 to 6 : 5

Distance from : 8 to 13 : 5

Distance from : 8 to 7 : 5

Distance from : 8 to 10 : 5

Distance from : 8 to 2 : 5

Distance from : 8 to 9 : 4

Distance from : 5 to 8 : 1

Distance from : 5 to 5 : 2

Distance from : 5 to 4 : 0

Distance from : 5 to 1 : 1

Distance from : 5 to 12 : 2

Distance from : 5 to 11 : 3

Distance from : 5 to 3 : 3

Distance from : 5 to 6 : 4

Distance from : 5 to 13 : 4

Distance from : 5 to 7 : 4

Distance from : 5 to 10 : 4

Distance from : 5 to 2 : 4

Distance from : 5 to 9 : 3

Distance from : 4 to 8 : 1

Distance from : 4 to 5 : 2

Distance from : 4 to 4 : 0

Distance from : 4 to 1 : 1

Distance from : 4 to 12 : 2

Distance from : 4 to 11 : 3

Distance from : 4 to 3 : 3

Distance from : 4 to 6 : 4

Distance from : 4 to 13 : 4

Distance from : 4 to 7 : 4

Distance from : 4 to 10 : 4

Distance from : 4 to 2 : 4

Distance from : 4 to 9 : 3

public static void findDist(Vertex origin){ origin.min = 0; PriorityQueue<Vertex> vertexes = new PriorityQueue<Vertex>(); vertexes.add(origin); while (!vertexes.isEmpty()) { Vertex temp = vertexes.poll(); int n = 0; while(temp.neighbors[n] != null) { Vertex next = temp.neighbors[n].destination; dist = temp.min + 1; if (dist < next.min) { vertexes.remove(next); next.min = dist; next.prev = temp; vertexes.add(next); } n++; } } }

findDist(vertices[0]); for (int w = 0; w < f; w++) { System.out.println("Distance from : " + vertices[2].identifier + " to " + vertices[w].identifier + " : " + vertices[w].min); }