Abstract
A new concept of T1-neighbors defined as non-neighboring cells linked by one edge is used for the analysis of the two cell correlators O1(k,n) (average number of pairs of k-cell and n-cell that are T1- neighbors) in two-dimensional cellular systems. In experimental dry soap froth, the two cell correlators are found to be linear in both k and n for the nearest T1 neighbors. This result is the analogous version of the Aboav-Weaire law using T1-neighbors and reveals longer range correlation beyond the traditional nearest neighbor analysis.