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We have a tag which covers puzzles involving graphs, for example:

Step into the Octagram

but calling it 'graph-theory' is a bit prententious for a site called 'Puzzling'.

May I suggest a new tag called simply 'Graphs', or just a name change of the existing tag.

Addendum

I've removed the 'graph-theory' tag from the questions in question.

On reflection, I agree the tag name is justified, but not for these questions, which could probably just use with the 'visual' tag.

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I'm against this change: it's unnecessary, and would be actively harmful.

"Graph theory" is the name of the field of mathematics that studies those graphs. We have and as well; both of those tags are for puzzles relating to those fields. Why should we introduce an inconsistency?

Additionally, could be misinterpreted as "visual representations of data" rather than "sets of vertices connected by edges". is both unambiguous and consistent with several other tags.

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    $\begingroup$ There's something to be said for distinguishing between questions that are actually about graph theory and questions that merely happen to have graphs in them. The octagram and heptagram puzzles are in the latter category. $\endgroup$ – Gareth McCaughan♦ Jul 1 '19 at 20:59
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    $\begingroup$ @GarethMcCaughan True! But that seems more to me like an argument for removing the tag from that puzzle, rather than making a new tag. (I don't think a tag for "this puzzle has a graph in it" is useful any more than, say, one for "this puzzle has a polygon in it".) $\endgroup$ – Deusovi♦ Jul 2 '19 at 3:14
  • $\begingroup$ I'll concur that graphs to indicate the presence of a graph in a puzzle is a meaningless distinction. (That's not to say we don't already have plenty of what seem to be meaningless distinctions — rhyme and poetry tags, lookin' at you, among others. But "graphs" here seems particularly useless and I would agree that if it causes confusion, it should be stricken from puzzles that use it just to refer to the presence of a graph of some sort.) $\endgroup$ – Rubio♦ Jul 2 '19 at 4:38

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