Complex networks represent interconnected systems found in fields ranging from sociology to biology and technological infrastructures. A critical aspect of analysing such networks is the study of ...

Recently, Knuth and Ciucu independently proved the surprising fact, conjectured by Stanley, that one connected component of the tensor product of a path with itself (the so-called "Aztec diamond graph ...

The Annals of Probability, Vol. 19, No. 4 (Oct., 1991), pp. 1559-1574 (16 pages) Consider the nearest neighbor graph for the integer lattice Z d in d dimensions. For a large finite piece of it, ...