The rule about hyphens is clear here
https://www.quora.com/Does-the-phrase-state-of-the-art-have-hyphens-Why
but it's contradicted here (e.g. state of the art)
https://www.grammarbook.com/punctuation/hyphens.asp
Which source is more reliable?
In the following example:
"Each half-edge is associated with a single face."
https://en.wikipedia.org/wiki/Doubly_connected_edge_list
should there be a hyphen in half edge?
Zohar Levi Which source is more reliable? It's a matter of opinion. Zohar Levi should there be a hyphen in half edge?
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Zohar LeviWhich source is more reliable?
It's a matter of opinion.
Zohar Levishould there be a hyphen in half edge?
Yes, I think it helps the reader.
Neither quora nor Wikipedia is a good source for style rules. Consult a real style manual.
In your case, it seems right to make one word out of half-edge by hyphenating.