 The only hypercube graph that is a cubic graph is the cubical graph .The hypercube graph may be constructed from the family of subsets of a set with elements, by making a vertex for each possible subset and joining two vertices by an edge whenever the corresponding subsets differ in a single element.Equivalently, it may be constructed using vertices labeled with -bit binary numbers and connecting two vertices by an edge whenever the Hamming distance of their labels is one.