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Removed the deprecated (abstract-algebra) tag - see the tag info: https://mathoverflow.net/tags/abstract-algebra/info (if there are some other suitable tags, choose them instead.)
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Martin Sleziak
Martin Sleziak
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replaced http://mathoverflow.net/ with https://mathoverflow.net/
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Community Bot
Community Bot
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This question relates to Realizing groups as automorphism groups of graphs.Realizing groups as automorphism groups of graphs.

Given a monoid $M$, is there a graph $G$ such that the endomorphism monoid $\textrm{End}(G)$ is isomorphic to $M$?

This question relates to Realizing groups as automorphism groups of graphs.

Given a monoid $M$, is there a graph $G$ such that the endomorphism monoid $\textrm{End}(G)$ is isomorphic to $M$?

This question relates to Realizing groups as automorphism groups of graphs.

Given a monoid $M$, is there a graph $G$ such that the endomorphism monoid $\textrm{End}(G)$ is isomorphic to $M$?

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Dominic van der Zypen
Dominic van der Zypen
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Realizing a monoid as $\mathrm{End}(G)$ for some graph $G$

This question relates to Realizing groups as automorphism groups of graphs.

Given a monoid $M$, is there a graph $G$ such that the endomorphism monoid $\textrm{End}(G)$ is isomorphic to $M$?