assumed

Is axiomatic knowledge from the viewpoint of HOPS website.

• stars – Disjoint union of stars.
• grid – Cartesian product of two paths.
• cycles – Every component is a cycle.
• chordal upper bounds perfect by a constant
• graph class perfect is not included in graph class chordal
• cograph upper bounds perfect by a constant
• graph class perfect is not included in graph class cograph
• bipartite upper bounds perfect by a constant
• graph class perfect is not included in graph class bipartite
• cluster upper bounds interval by a constant
• graph class interval is not included in graph class cluster
• linear forest upper bounds interval by a constant
• graph class interval is not included in graph class linear forest
• stars upper bounds interval by a constant
• graph class interval is not included in graph class stars
• interval upper bounds chordal by a constant
• graph class chordal is not included in graph class interval
• co-cluster upper bounds cograph by a constant
• graph class cograph is not included in graph class co-cluster
• forest upper bounds bipartite by a constant
• graph class bipartite is not included in graph class forest
• outerplanar upper bounds planar by a constant
• graph class planar is not included in graph class outerplanar
• complete upper bounds co-cluster by a constant
• graph class co-cluster is not included in graph class complete
• block upper bounds chordal by a constant
• graph class chordal is not included in graph class block
• cluster upper bounds block by a constant
• graph class block is not included in graph class cluster
• linear forest upper bounds forest by a constant
• graph class forest is not included in graph class linear forest
• disjoint cycles upper bounds outerplanar by a constant
• graph class outerplanar is not included in graph class disjoint cycles
• forest upper bounds disjoint cycles by a constant
• graph class disjoint cycles is not included in graph class forest
• forest upper bounds block by a constant
• graph class block is not included in graph class forest
• edgeless upper bounds linear forest by a constant
• graph class linear forest is not included in graph class edgeless
• stars upper bounds forest by a constant
• graph class forest is not included in graph class stars
• edgeless upper bounds stars by a constant
• graph class stars is not included in graph class edgeless
• edgeless upper bounds co-cluster by a constant
• graph class co-cluster is not included in graph class edgeless
• grid upper bounds planar by a constant
• graph class planar is not included in graph class grid
• grid upper bounds bipartite by a constant
• graph class bipartite is not included in graph class grid
• cycles upper bounds disjoint cycles by a constant
• graph class disjoint cycles is not included in graph class cycles
• grid upper bounds connected by a constant
• graph class connected is not included in graph class grid
• edgeless upper bounds cluster by a constant
• graph class cluster is not included in graph class edgeless
• star upper bounds tree by a constant
• graph class tree is not included in graph class star
• path upper bounds tree by a constant
• graph class tree is not included in graph class path
• path upper bounds grid by a constant
• graph class grid is not included in graph class path