An Algebraic Representation of Graphs and Applications to Graph Enumeration

Figure 6

(a) The graphs represented by the tensors 𝑆^𝐺_1,2,3,4∈𝖲(𝑉)^⊗4 and 𝑆^𝐺′_1,2,3∈𝖲(𝑉)^⊗3. (b) The graph represented by the tensor 𝑆^𝐻_1,…,6=𝑆^𝐺_1,2,3,4⋄_3,2𝑆^𝐺′_1,2,3∈𝖲(𝑉)^⊗6.

(a)

(b)