Edge space

Edge space --- пространство рёбер.

The edge space [math]\displaystyle{ {\mathcal E}(G) }[/math] of a simple graph [math]\displaystyle{ G = (V(G),E(G)) }[/math] is a power set of its edges [math]\displaystyle{ E(G) }[/math] endowed with the structure of a vector space over the two-element field [math]\displaystyle{ F_{2} = \{0,1\} }[/math]. Addition in [math]\displaystyle{ {\mathcal E}(G) }[/math] is a symmetric difference of sets, and zero is the empty set.