I don't know about most construction contracts but the construction industry certainly has the most LCN involvement still. And that's due to the diversity of the businesses involved - excavation, paving, concrete, windows, plumbing, demolition, trucking, etc. - as well as the Giuliani administration not being able to institute reforms there like it did in the waste hauling industry and food markets.

One of the New York papers did a 3-part piece back in 2005 that talked about how, over a decade from 1995 to 2005, numerous LCN -connected contractors, who had been banned from receiving state contracts, had nevertheless received $1.2 billion in over 100 public contracts involving projects like city schools, playgrounds, bridges, roads, etc. In December of 2005, it was reported that LCN-connecte4d companies had receieved $74 million of the $458 million in contracts involving the World Trade Center clean up.