If anyone has any suggestions  I would greatly appreciate it.

I have had some ideas and been unsuccessful.

 I know I can measure the distance between each faces center and then cull certain faces due to distance but it does not give an accurate telling of whether the faces share a certain edge.

Then I thought of extracting vertices from each face and decomposing them and then culling vertexs that have the same coordinates.

Any suggestions of how to conceptually or literally approach this would be much appreciated.

Thanks in advance.