Chordal graphs
A chordal graph is a simple graph in which every graph cycle of length four and greater has a chord, which is an edge that is not part of the cycle but connects two vertices of the cycle. The following collection was calculated by Brendan McKay (source) and lists all connected chordal graphs up to 11 vertices. Graphs of order 3 or less were included from the Eric Weisstein's MathWorld (source).
OEIS: A048192