An Algebraic Representation of Graphs and Applications to Graph Enumeration

Figure 5

(a) The graph represented by the tensor 𝑆^𝐺_1,2,3,4∈𝖲(𝑉)^⊗4. (b) The graph represented by the tensor 𝑆^𝐺_1,5,4,2∈𝖲(𝑉)^⊗5 associated with 𝐺 and the bijection 𝜎∶{1,2,3,4}→{1,2,4,5}; 1↦1,2↦5,3↦4,4↦2.

(a)

(b)