The question is quite straight-forward but I can't seem to find the correct keywords to get my answer on the internet.
For those who are not familiar with the problem, given a polygon P we are asked to find the minimum number of guards which together can see the whole polygon ( assuming that each guard has a 360 field of view ) . An example of a solution can be seen in the following picture in which two guards suffice :
Now, my question is : If the guards can see all the edges of the polygon (from its interior of course), do they see the whole polygon?
This could do wonders for my solution as I wouldn't have to bother about the guards being able to see the interior of the polygon.
No. On the picture below guards in green corners can see the whole perimeter but can not see the region with red points.