On Resolvability of a Graph Associated to a Finite Vector Space
  The metric dimension of non-component graph, associated to a finite vector space, is determined.   It is proved that the exchange property holds for resolving sets of the graph, except a special case.   Some results are also related to an intersection graph. 
Usman Ali, Syed Ahtisham Bokhary, Khola Wahid
math.CO