Advances in Applied Probability, Vol. 24, No. 4 (Dec., 1992), pp. 845-857 (13 pages) A three-parameter model of a random directed graph (digraph) is specified by the ...

Graph distinguishing numbers constitute a vital parameter in understanding the symmetry properties of graphs. Fundamentally, the distinguishing number of a graph is the minimal number of labels ...

In this paper, we prove that all but one of the components of the transfer digraph D m * needed for the enumeration of 2-factors in the rectangular, thick cylinder and Moebius strip grid graphs of the ...