All Questions

Short version: in several papers, line graphs (and closely related graphs) are called graph derivatives or derived graphs; is there any intuition for such terminologies, in connection with the ...

Consider, subgraphs $G_1, G_2,...... G_x$ of graph $G$. Each subgraph has $k$ vertices. Now, Fix subgraph $G_1$ and consider another subgraph $G_k$ where $1 <k \le x$. The edge set ...