I just want to summarize discussion from my point of view, since seems this is still an open problem here.
graphs is not suitable to express a question in graph theory, i.e graph is a general term not scientific name and can be used for charts or even in graphic design, functions, ..., which are not related to computer science. e.g how to draw this graph with tikz is not a graph theory or computer science related but is graph related. Because of three main reasons I want to propose to use tag synonym for this:
Everyone who works on graph-theory expects to see graph-theory for questions which are related to algorithms, complexity classes, ... of graphs. e.g there is no graphs in CSTheory but there are specific tags like planar-graphs, ... which are more specific and is not comparable with general term graph which causes to misinterpreting.
Currently all questions that I saw them and tagged by graphs are related to graph-theory + something or without graph theory just by using other tags. Generally, if some question tagged with graphs, and is not possible to change it to graph-theory + other tags, means is not computer science problem, it's math, graphic, painting, ... , by writer's understanding and knowledge about CS.SE, we don't have any evidence against this.1
New people in graph theory or computer scientist who does not work on graph theory related topics, may call graph-theory as graphs. So for fixing terminology, I would suggest to use tag synonym to change graph/s to graph-theory.
1. If anyone thinks there is a question with graph tag and cannot be expressed by other tags, is better to share it here.