If you notice, lot of of graph problems on leetcode are simply tagged as depth-first-search or breadth-first-search the problem here is that when you just choose graph as a tag, those problems don't show up.

To handle this one migh think to add depth-first-search or breadth-first-search in tags, the problem with this is that tree problems also start appearing as lot of tree problems are tagged with depth-first-search

I think each and every graph problem should be firstly tagged with it's primary category so it would be really great if every graph problem can be tagged with graph irrecpective of whether it is depth-first-search or breadth-first-search