%0 Journal Article %T The search for N-e.c. graphs %A Anthony Bonato %J Contributions to Discrete Mathematics %D 2009 %I University of Calgary %X Almost all finite graphs have the $n$-e.c. adjacency property, although until recently few explicit examples of such graphs were known. We survey some recently discovered families of explicit finite $n$-e.c. graphs, and present a new construction of strongly regular $n$-e.c. arising from affine planes. %U http://cdm.math.ucalgary.ca/cdm/index.php/cdm/article/view/155