Basis number

Basis number --- базисное число.

A basis [math]\displaystyle{ {\mathcal B} }[/math] for cycle space [math]\displaystyle{ {\mathcal C}(G) }[/math] is called a [math]\displaystyle{ d }[/math]-fold if each edge of [math]\displaystyle{ G }[/math] occurs in at most [math]\displaystyle{ d }[/math] of the cycles in the basis [math]\displaystyle{ {\mathcal B} }[/math]. The basis number [math]\displaystyle{ b(G) }[/math] of [math]\displaystyle{ G }[/math] is the least non-negative integer [math]\displaystyle{ d }[/math] such that [math]\displaystyle{ {\mathcal C}(G) }[/math] has a [math]\displaystyle{ d }[/math]-fold basis.