Some Remarks on Regular Graph Lattices
Jie Fang · Journal of Shantou University · 2010
A regular graph lattice is a lattice whose Hass diagram is a regular graph.It is shown that a finite distributive lattice is a regular graph lattice if and only if it is a Boolean lattice.All the 1-degree graph lattices and 2-degree graph lattices are found.It is shown that the 8-element Boolean lattice is the smallest 3-degree regular graph lattice.