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Questions related to graph reconstruction, the problem of reconstructing a graph from a set or deck (multiset) of subgraphs.

24 votes
0 answers
486 views

Is the Poset of Graphs Automorphism-free?

For $n\geq 5$, let $\mathcal {P}_n$ be the set of all isomorphism classes of graphs with n vertices. Give this set the poset structure given by $G \le H$ if and only if $G$ is a subgraph of $H$. I …
Wade Hann-Caruthers's user avatar