Hasse diagrams are mathematical diagrams used to represent finite partially ordered sets, and may be seen as a kind of graph.
Apparently, there are some relations between particular kinds of lattices and graphs:
- A finite lattice is a modular lattice if and only if its Hasse diagram is a modular graph.
- The Hasse diagram of a finite distributive lattice is a median graph.
What about general finite lattices? Is there a name for graphs that appear as Hasse diagrams of finite lattices? Do these graphs have a special property that distinguish them from other graphs, just like modular and median graphs do?