- FindStat

Identifier

Mp00074: Posets —to graph⟶ Graphs
Mp00251: Graphs —clique sizes⟶ Integer partitions
St000781: Integer partitions ⟶ ℤ

Values

([],1) => ([],1) => [1] => 1

([],2) => ([],2) => [1,1] => 1

([(0,1)],2) => ([(0,1)],2) => [2] => 1

([],3) => ([],3) => [1,1,1] => 1

([(1,2)],3) => ([(1,2)],3) => [2,1] => 1

([(0,1),(0,2)],3) => ([(0,2),(1,2)],3) => [2,2] => 1

([(0,2),(2,1)],3) => ([(0,2),(1,2)],3) => [2,2] => 1

([(0,2),(1,2)],3) => ([(0,2),(1,2)],3) => [2,2] => 1

([],4) => ([],4) => [1,1,1,1] => 1

([(2,3)],4) => ([(2,3)],4) => [2,1,1] => 1

([(1,2),(1,3)],4) => ([(1,3),(2,3)],4) => [2,2,1] => 1

([(0,1),(0,2),(0,3)],4) => ([(0,3),(1,3),(2,3)],4) => [2,2,2] => 1

([(0,2),(0,3),(3,1)],4) => ([(0,3),(1,2),(2,3)],4) => [2,2,2] => 1

([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,2),(0,3),(1,2),(1,3)],4) => [2,2,2,2] => 1

([(1,2),(2,3)],4) => ([(1,3),(2,3)],4) => [2,2,1] => 1

([(0,3),(3,1),(3,2)],4) => ([(0,3),(1,3),(2,3)],4) => [2,2,2] => 1

([(1,3),(2,3)],4) => ([(1,3),(2,3)],4) => [2,2,1] => 1

([(0,3),(1,3),(3,2)],4) => ([(0,3),(1,3),(2,3)],4) => [2,2,2] => 1

([(0,3),(1,3),(2,3)],4) => ([(0,3),(1,3),(2,3)],4) => [2,2,2] => 1

([(0,3),(1,2)],4) => ([(0,3),(1,2)],4) => [2,2] => 1

([(0,3),(1,2),(1,3)],4) => ([(0,3),(1,2),(2,3)],4) => [2,2,2] => 1

([(0,2),(0,3),(1,2),(1,3)],4) => ([(0,2),(0,3),(1,2),(1,3)],4) => [2,2,2,2] => 1

([(0,3),(2,1),(3,2)],4) => ([(0,3),(1,2),(2,3)],4) => [2,2,2] => 1

([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4) => [2,2,2] => 1

([],5) => ([],5) => [1,1,1,1,1] => 1

([(3,4)],5) => ([(3,4)],5) => [2,1,1,1] => 1

([(2,3),(2,4)],5) => ([(2,4),(3,4)],5) => [2,2,1,1] => 1

([(1,2),(1,3),(1,4)],5) => ([(1,4),(2,4),(3,4)],5) => [2,2,2,1] => 1

([(0,1),(0,2),(0,3),(0,4)],5) => ([(0,4),(1,4),(2,4),(3,4)],5) => [2,2,2,2] => 1

([(0,2),(0,3),(0,4),(4,1)],5) => ([(0,4),(1,4),(2,3),(3,4)],5) => [2,2,2,2] => 1

([(0,1),(0,2),(0,3),(2,4),(3,4)],5) => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => [2,2,2,2,2] => 1

([(1,3),(1,4),(4,2)],5) => ([(1,4),(2,3),(3,4)],5) => [2,2,2,1] => 1

([(0,3),(0,4),(4,1),(4,2)],5) => ([(0,4),(1,4),(2,3),(3,4)],5) => [2,2,2,2] => 1

([(1,2),(1,3),(2,4),(3,4)],5) => ([(1,3),(1,4),(2,3),(2,4)],5) => [2,2,2,2,1] => 1

([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => [2,2,2,2,2] => 1

([(0,3),(0,4),(3,2),(4,1)],5) => ([(0,4),(1,3),(2,3),(2,4)],5) => [2,2,2,2] => 1

([(0,2),(0,3),(2,4),(3,1),(3,4)],5) => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => [2,2,2,2,2] => 1

([(2,3),(3,4)],5) => ([(2,4),(3,4)],5) => [2,2,1,1] => 1

([(1,4),(4,2),(4,3)],5) => ([(1,4),(2,4),(3,4)],5) => [2,2,2,1] => 1

([(0,4),(4,1),(4,2),(4,3)],5) => ([(0,4),(1,4),(2,4),(3,4)],5) => [2,2,2,2] => 1

([(2,4),(3,4)],5) => ([(2,4),(3,4)],5) => [2,2,1,1] => 1

([(1,4),(2,4),(4,3)],5) => ([(1,4),(2,4),(3,4)],5) => [2,2,2,1] => 1

([(0,4),(1,4),(4,2),(4,3)],5) => ([(0,4),(1,4),(2,4),(3,4)],5) => [2,2,2,2] => 1

([(1,4),(2,4),(3,4)],5) => ([(1,4),(2,4),(3,4)],5) => [2,2,2,1] => 1

([(0,4),(1,4),(2,4),(4,3)],5) => ([(0,4),(1,4),(2,4),(3,4)],5) => [2,2,2,2] => 1

([(0,4),(1,4),(2,4),(3,4)],5) => ([(0,4),(1,4),(2,4),(3,4)],5) => [2,2,2,2] => 1

([(0,4),(1,4),(2,3)],5) => ([(0,1),(2,4),(3,4)],5) => [2,2,2] => 1

([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5) => [2,2,2,2] => 1

([(0,4),(1,3),(1,4),(2,3),(2,4)],5) => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => [2,2,2,2,2] => 1

([(0,4),(1,4),(2,3),(4,2)],5) => ([(0,4),(1,4),(2,3),(3,4)],5) => [2,2,2,2] => 1

([(0,4),(1,3),(2,3),(3,4)],5) => ([(0,4),(1,4),(2,3),(3,4)],5) => [2,2,2,2] => 1

([(0,4),(1,4),(2,3),(2,4)],5) => ([(0,4),(1,4),(2,3),(3,4)],5) => [2,2,2,2] => 1

([(0,4),(1,4),(2,3),(3,4)],5) => ([(0,4),(1,4),(2,3),(3,4)],5) => [2,2,2,2] => 1

([(1,4),(2,3)],5) => ([(1,4),(2,3)],5) => [2,2,1] => 1

([(1,4),(2,3),(2,4)],5) => ([(1,4),(2,3),(3,4)],5) => [2,2,2,1] => 1

([(0,4),(1,2),(1,4),(2,3)],5) => ([(0,4),(1,3),(2,3),(2,4)],5) => [2,2,2,2] => 1

([(0,3),(1,2),(1,3),(2,4),(3,4)],5) => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => [2,2,2,2,2] => 1

([(1,3),(1,4),(2,3),(2,4)],5) => ([(1,3),(1,4),(2,3),(2,4)],5) => [2,2,2,2,1] => 1

([(0,3),(0,4),(1,3),(1,4),(4,2)],5) => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => [2,2,2,2,2] => 1

([(0,4),(1,2),(1,4),(4,3)],5) => ([(0,4),(1,4),(2,3),(3,4)],5) => [2,2,2,2] => 1

([(0,4),(1,2),(1,3)],5) => ([(0,1),(2,4),(3,4)],5) => [2,2,2] => 1

([(0,4),(1,2),(1,3),(1,4)],5) => ([(0,4),(1,4),(2,3),(3,4)],5) => [2,2,2,2] => 1

([(0,2),(0,4),(3,1),(4,3)],5) => ([(0,4),(1,3),(2,3),(2,4)],5) => [2,2,2,2] => 1

([(0,4),(1,2),(1,3),(3,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5) => [2,2,2,2] => 1

([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5) => [2,2,2,2,2] => 1

([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => [2,2,2,2,2] => 1

([(0,3),(0,4),(1,2),(1,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5) => [2,2,2,2] => 1

([(0,3),(0,4),(1,2),(1,3),(1,4)],5) => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => [2,2,2,2,2] => 1

([(0,3),(0,4),(1,2),(1,3),(2,4)],5) => ([(0,3),(0,4),(1,2),(1,4),(2,3)],5) => [2,2,2,2,2] => 1

([(0,3),(1,2),(1,4),(3,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5) => [2,2,2,2] => 1

([(0,3),(0,4),(1,2),(2,3),(2,4)],5) => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => [2,2,2,2,2] => 1

([(1,4),(3,2),(4,3)],5) => ([(1,4),(2,3),(3,4)],5) => [2,2,2,1] => 1

([(0,3),(3,4),(4,1),(4,2)],5) => ([(0,4),(1,4),(2,3),(3,4)],5) => [2,2,2,2] => 1

([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5) => [2,2,2,1] => 1

([(0,4),(1,2),(2,4),(4,3)],5) => ([(0,4),(1,4),(2,3),(3,4)],5) => [2,2,2,2] => 1

([(0,3),(1,4),(4,2)],5) => ([(0,1),(2,4),(3,4)],5) => [2,2,2] => 1

([(0,4),(3,2),(4,1),(4,3)],5) => ([(0,4),(1,4),(2,3),(3,4)],5) => [2,2,2,2] => 1

([(0,4),(1,2),(2,3),(2,4)],5) => ([(0,4),(1,4),(2,3),(3,4)],5) => [2,2,2,2] => 1

([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(1,3),(2,3),(2,4)],5) => [2,2,2,2] => 1

([(0,3),(1,2),(2,4),(3,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5) => [2,2,2,2] => 1

([(0,4),(1,2),(2,3),(3,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5) => [2,2,2,2] => 1

([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => [2,2,2,2,2] => 1

([],6) => ([],6) => [1,1,1,1,1,1] => 1

([(4,5)],6) => ([(4,5)],6) => [2,1,1,1,1] => 1

([(3,4),(3,5)],6) => ([(3,5),(4,5)],6) => [2,2,1,1,1] => 1

([(2,3),(2,4),(2,5)],6) => ([(2,5),(3,5),(4,5)],6) => [2,2,2,1,1] => 1

([(1,2),(1,3),(1,4),(1,5)],6) => ([(1,5),(2,5),(3,5),(4,5)],6) => [2,2,2,2,1] => 1

([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => [2,2,2,2,2] => 1

([(0,2),(0,3),(0,4),(0,5),(5,1)],6) => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => [2,2,2,2,2] => 1

([(1,3),(1,4),(1,5),(5,2)],6) => ([(1,5),(2,5),(3,4),(4,5)],6) => [2,2,2,2,1] => 1

([(0,3),(0,4),(0,5),(5,1),(5,2)],6) => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => [2,2,2,2,2] => 1

([(0,3),(0,4),(0,5),(4,2),(5,1)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => [2,2,2,2,2] => 1

([(2,3),(2,4),(4,5)],6) => ([(2,5),(3,4),(4,5)],6) => [2,2,2,1,1] => 1

([(1,4),(1,5),(5,2),(5,3)],6) => ([(1,5),(2,5),(3,4),(4,5)],6) => [2,2,2,2,1] => 1

([(0,4),(0,5),(5,1),(5,2),(5,3)],6) => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => [2,2,2,2,2] => 1

([(2,3),(2,4),(3,5),(4,5)],6) => ([(2,4),(2,5),(3,4),(3,5)],6) => [2,2,2,2,1,1] => 1

([(1,4),(1,5),(4,3),(5,2)],6) => ([(1,5),(2,4),(3,4),(3,5)],6) => [2,2,2,2,1] => 1

([(0,4),(0,5),(4,3),(5,1),(5,2)],6) => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => [2,2,2,2,2] => 1

([(3,4),(4,5)],6) => ([(3,5),(4,5)],6) => [2,2,1,1,1] => 1

([(2,3),(3,4),(3,5)],6) => ([(2,5),(3,5),(4,5)],6) => [2,2,2,1,1] => 1

([(1,5),(5,2),(5,3),(5,4)],6) => ([(1,5),(2,5),(3,5),(4,5)],6) => [2,2,2,2,1] => 1

>>> Load all 349 entries. <<<

([(0,5),(5,1),(5,2),(5,3),(5,4)],6) => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => [2,2,2,2,2] => 1

([(2,3),(3,5),(5,4)],6) => ([(2,5),(3,4),(4,5)],6) => [2,2,2,1,1] => 1

([(1,4),(4,5),(5,2),(5,3)],6) => ([(1,5),(2,5),(3,4),(4,5)],6) => [2,2,2,2,1] => 1

([(0,4),(4,5),(5,1),(5,2),(5,3)],6) => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => [2,2,2,2,2] => 1

([(3,5),(4,5)],6) => ([(3,5),(4,5)],6) => [2,2,1,1,1] => 1

([(2,5),(3,5),(5,4)],6) => ([(2,5),(3,5),(4,5)],6) => [2,2,2,1,1] => 1

([(1,5),(2,5),(5,3),(5,4)],6) => ([(1,5),(2,5),(3,5),(4,5)],6) => [2,2,2,2,1] => 1

([(0,5),(1,5),(5,2),(5,3),(5,4)],6) => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => [2,2,2,2,2] => 1

([(2,5),(3,5),(4,5)],6) => ([(2,5),(3,5),(4,5)],6) => [2,2,2,1,1] => 1

([(1,5),(2,5),(3,5),(5,4)],6) => ([(1,5),(2,5),(3,5),(4,5)],6) => [2,2,2,2,1] => 1

([(0,5),(1,5),(2,5),(5,3),(5,4)],6) => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => [2,2,2,2,2] => 1

([(1,5),(2,5),(3,5),(4,5)],6) => ([(1,5),(2,5),(3,5),(4,5)],6) => [2,2,2,2,1] => 1

([(0,5),(1,5),(2,5),(3,5),(5,4)],6) => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => [2,2,2,2,2] => 1

([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => [2,2,2,2,2] => 1

([(0,5),(1,5),(2,5),(3,4)],6) => ([(0,1),(2,5),(3,5),(4,5)],6) => [2,2,2,2] => 1

([(0,5),(1,5),(2,5),(3,4),(5,3)],6) => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => [2,2,2,2,2] => 1

([(0,5),(1,5),(2,5),(3,4),(5,4)],6) => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => [2,2,2,2,2] => 1

([(0,5),(1,5),(2,5),(3,4),(3,5)],6) => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => [2,2,2,2,2] => 1

([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => [2,2,2,2,2] => 1

([(1,5),(2,5),(3,4)],6) => ([(1,2),(3,5),(4,5)],6) => [2,2,2,1] => 1

([(1,5),(2,4),(3,4),(3,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6) => [2,2,2,2,1] => 1

([(0,5),(1,4),(2,4),(2,5),(5,3)],6) => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => [2,2,2,2,2] => 1

([(1,5),(2,5),(3,4),(5,3)],6) => ([(1,5),(2,5),(3,4),(4,5)],6) => [2,2,2,2,1] => 1

([(1,5),(2,4),(3,4),(4,5)],6) => ([(1,5),(2,5),(3,4),(4,5)],6) => [2,2,2,2,1] => 1

([(0,5),(1,4),(2,4),(4,5),(5,3)],6) => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => [2,2,2,2,2] => 1

([(0,5),(1,5),(2,3),(5,4)],6) => ([(0,1),(2,5),(3,5),(4,5)],6) => [2,2,2,2] => 1

([(0,5),(1,5),(4,2),(5,3),(5,4)],6) => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => [2,2,2,2,2] => 1

([(0,5),(1,5),(2,4),(5,3),(5,4)],6) => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => [2,2,2,2,2] => 1

([(1,5),(2,5),(3,4),(3,5)],6) => ([(1,5),(2,5),(3,4),(4,5)],6) => [2,2,2,2,1] => 1

([(0,5),(1,5),(2,3),(2,5),(5,4)],6) => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => [2,2,2,2,2] => 1

([(0,5),(1,5),(2,3),(2,5),(3,4)],6) => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => [2,2,2,2,2] => 1

([(0,5),(1,5),(2,3),(2,4)],6) => ([(0,5),(1,5),(2,4),(3,4)],6) => [2,2,2,2] => 1

([(0,5),(1,5),(4,2),(4,3),(5,4)],6) => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => [2,2,2,2,2] => 1

([(0,4),(1,4),(2,3),(2,5),(4,5)],6) => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => [2,2,2,2,2] => 1

([(0,5),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => [2,2,2,2,2] => 1

([(0,5),(1,2),(1,4),(3,5),(4,3)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => [2,2,2,2,2] => 1

([(0,5),(1,5),(2,3),(2,4),(4,5)],6) => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => [2,2,2,2,2] => 1

([(1,5),(2,5),(3,4),(4,5)],6) => ([(1,5),(2,5),(3,4),(4,5)],6) => [2,2,2,2,1] => 1

([(0,5),(1,5),(2,3),(3,5),(5,4)],6) => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => [2,2,2,2,2] => 1

([(0,5),(1,5),(2,3),(3,4)],6) => ([(0,5),(1,5),(2,4),(3,4)],6) => [2,2,2,2] => 1

([(0,5),(1,5),(3,2),(4,3),(5,4)],6) => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => [2,2,2,2,2] => 1

([(0,4),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => [2,2,2,2,2] => 1

([(0,5),(1,4),(3,5),(4,2),(4,3)],6) => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => [2,2,2,2,2] => 1

([(0,5),(1,5),(2,3),(3,4),(3,5)],6) => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => [2,2,2,2,2] => 1

([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => [2,2,2,2,2] => 1

([(0,5),(1,5),(2,4),(3,4)],6) => ([(0,5),(1,5),(2,4),(3,4)],6) => [2,2,2,2] => 1

([(0,5),(1,5),(2,4),(3,4),(3,5)],6) => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => [2,2,2,2,2] => 1

([(0,5),(1,4),(2,4),(3,5),(4,3)],6) => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => [2,2,2,2,2] => 1

([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => [2,2,2,2,2] => 1

([(2,5),(3,4)],6) => ([(2,5),(3,4)],6) => [2,2,1,1] => 1

([(2,5),(3,4),(3,5)],6) => ([(2,5),(3,4),(4,5)],6) => [2,2,2,1,1] => 1

([(1,5),(2,3),(2,5),(3,4)],6) => ([(1,5),(2,4),(3,4),(3,5)],6) => [2,2,2,2,1] => 1

([(0,5),(1,4),(1,5),(4,2),(4,3)],6) => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => [2,2,2,2,2] => 1

([(0,5),(1,4),(1,5),(4,2),(5,3)],6) => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => [2,2,2,2,2] => 1

([(2,4),(2,5),(3,4),(3,5)],6) => ([(2,4),(2,5),(3,4),(3,5)],6) => [2,2,2,2,1,1] => 1

([(0,4),(0,5),(1,4),(1,5),(2,3)],6) => ([(0,1),(2,4),(2,5),(3,4),(3,5)],6) => [2,2,2,2,2] => 1

([(1,5),(2,3),(2,5),(5,4)],6) => ([(1,5),(2,5),(3,4),(4,5)],6) => [2,2,2,2,1] => 1

([(0,5),(1,2),(1,5),(5,3),(5,4)],6) => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => [2,2,2,2,2] => 1

([(1,5),(2,3),(2,4)],6) => ([(1,2),(3,5),(4,5)],6) => [2,2,2,1] => 1

([(1,5),(2,3),(2,4),(2,5)],6) => ([(1,5),(2,5),(3,4),(4,5)],6) => [2,2,2,2,1] => 1

([(0,5),(1,3),(1,4),(1,5),(4,2)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => [2,2,2,2,2] => 1

([(0,5),(1,2),(1,3),(1,5),(5,4)],6) => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => [2,2,2,2,2] => 1

([(0,5),(1,2),(1,3),(1,4)],6) => ([(0,1),(2,5),(3,5),(4,5)],6) => [2,2,2,2] => 1

([(0,5),(1,2),(1,3),(1,4),(1,5)],6) => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => [2,2,2,2,2] => 1

([(0,2),(0,3),(0,5),(4,1),(5,4)],6) => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => [2,2,2,2,2] => 1

([(0,5),(1,2),(1,3),(1,4),(4,5)],6) => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => [2,2,2,2,2] => 1

([(0,4),(1,2),(1,3),(1,5),(4,5)],6) => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => [2,2,2,2,2] => 1

([(1,3),(1,5),(4,2),(5,4)],6) => ([(1,5),(2,4),(3,4),(3,5)],6) => [2,2,2,2,1] => 1

([(0,3),(0,4),(4,5),(5,1),(5,2)],6) => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => [2,2,2,2,2] => 1

([(0,4),(0,5),(3,2),(4,3),(5,1)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => [2,2,2,2,2] => 1

([(1,5),(2,3),(2,4),(4,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6) => [2,2,2,2,1] => 1

([(0,5),(1,2),(1,3),(3,5),(5,4)],6) => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => [2,2,2,2,2] => 1

([(0,5),(1,3),(1,4),(3,5),(4,2)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => [2,2,2,2,2] => 1

([(0,4),(1,3),(1,5),(5,2)],6) => ([(0,1),(2,5),(3,4),(4,5)],6) => [2,2,2,2] => 1

([(0,3),(0,5),(4,2),(5,1),(5,4)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => [2,2,2,2,2] => 1

([(0,5),(1,3),(1,4),(4,2),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => [2,2,2,2,2] => 1

([(0,4),(1,2),(1,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => [2,2,2,2,2] => 1

([(0,4),(1,2),(1,3),(2,5),(3,5)],6) => ([(0,1),(2,4),(2,5),(3,4),(3,5)],6) => [2,2,2,2,2] => 1

([(1,4),(1,5),(2,3),(2,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6) => [2,2,2,2,1] => 1

([(0,4),(0,5),(1,3),(1,5),(5,2)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => [2,2,2,2,2] => 1

([(0,3),(0,5),(1,4),(1,5),(4,2)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => [2,2,2,2,2] => 1

([(0,4),(0,5),(1,2),(1,3)],6) => ([(0,5),(1,5),(2,4),(3,4)],6) => [2,2,2,2] => 1

([(0,4),(0,5),(1,2),(1,3),(1,5)],6) => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => [2,2,2,2,2] => 1

([(0,4),(0,5),(1,2),(1,3),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => [2,2,2,2,2] => 1

([(1,4),(2,3),(2,5),(4,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6) => [2,2,2,2,1] => 1

([(0,4),(1,3),(1,5),(4,5),(5,2)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => [2,2,2,2,2] => 1

([(0,3),(1,4),(1,5),(3,5),(4,2)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => [2,2,2,2,2] => 1

([(0,5),(1,3),(1,4),(5,2)],6) => ([(0,5),(1,5),(2,4),(3,4)],6) => [2,2,2,2] => 1

([(0,2),(0,5),(3,4),(4,1),(5,3)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => [2,2,2,2,2] => 1

([(0,5),(4,2),(4,3),(5,1),(5,4)],6) => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => [2,2,2,2,2] => 1

([(0,4),(1,3),(1,5),(4,2),(4,5)],6) => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => [2,2,2,2,2] => 1

([(2,5),(3,4),(4,5)],6) => ([(2,5),(3,4),(4,5)],6) => [2,2,2,1,1] => 1

([(1,5),(2,3),(3,5),(5,4)],6) => ([(1,5),(2,5),(3,4),(4,5)],6) => [2,2,2,2,1] => 1

([(0,5),(1,2),(2,5),(5,3),(5,4)],6) => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => [2,2,2,2,2] => 1

([(1,3),(2,4),(4,5)],6) => ([(1,2),(3,5),(4,5)],6) => [2,2,2,1] => 1

([(1,5),(4,3),(5,2),(5,4)],6) => ([(1,5),(2,5),(3,4),(4,5)],6) => [2,2,2,2,1] => 1

([(1,5),(2,3),(3,4),(3,5)],6) => ([(1,5),(2,5),(3,4),(4,5)],6) => [2,2,2,2,1] => 1

([(0,5),(1,4),(4,2),(4,5),(5,3)],6) => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => [2,2,2,2,2] => 1

([(0,4),(1,5),(5,2),(5,3)],6) => ([(0,1),(2,5),(3,5),(4,5)],6) => [2,2,2,2] => 1

([(0,5),(4,3),(5,1),(5,2),(5,4)],6) => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => [2,2,2,2,2] => 1

([(0,5),(1,4),(4,2),(4,3),(4,5)],6) => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => [2,2,2,2,2] => 1

([(1,5),(3,4),(4,2),(5,3)],6) => ([(1,5),(2,4),(3,4),(3,5)],6) => [2,2,2,2,1] => 1

([(0,4),(3,5),(4,3),(5,1),(5,2)],6) => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => [2,2,2,2,2] => 1

([(1,4),(2,3),(3,5),(4,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6) => [2,2,2,2,1] => 1

([(0,4),(1,3),(3,5),(4,5),(5,2)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => [2,2,2,2,2] => 1

([(0,5),(1,4),(4,2),(5,3)],6) => ([(0,5),(1,5),(2,4),(3,4)],6) => [2,2,2,2] => 1

([(0,5),(3,4),(4,2),(5,1),(5,3)],6) => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => [2,2,2,2,2] => 1

([(0,3),(1,4),(3,5),(4,2),(4,5)],6) => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => [2,2,2,2,2] => 1

([(1,5),(2,3),(3,4),(4,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6) => [2,2,2,2,1] => 1

([(0,5),(1,4),(2,5),(4,2),(5,3)],6) => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => [2,2,2,2,2] => 1

([(0,5),(1,4),(2,3)],6) => ([(0,5),(1,4),(2,3)],6) => [2,2,2] => 1

([(0,5),(1,3),(2,4),(2,5)],6) => ([(0,1),(2,5),(3,4),(4,5)],6) => [2,2,2,2] => 1

([(0,5),(1,4),(2,3),(2,4),(2,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => [2,2,2,2,2] => 1

([(0,5),(1,4),(1,5),(3,2),(4,3)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => [2,2,2,2,2] => 1

([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => [2,2,2,2,2] => 1

([(0,5),(1,3),(1,5),(4,2),(5,4)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => [2,2,2,2,2] => 1

([(0,5),(1,4),(2,3),(2,4),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => [2,2,2,2,2] => 1

([(0,4),(1,4),(1,5),(2,3),(2,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => [2,2,2,2,2] => 1

([(0,5),(1,4),(1,5),(2,3),(2,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => [2,2,2,2,2] => 1

([(0,4),(1,4),(1,5),(2,3),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => [2,2,2,2,2] => 1

([(0,4),(1,3),(1,5),(2,5),(4,2)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => [2,2,2,2,2] => 1

([(0,5),(1,4),(2,3),(2,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => [2,2,2,2,2] => 1

([(0,5),(1,3),(4,2),(5,4)],6) => ([(0,1),(2,5),(3,4),(4,5)],6) => [2,2,2,2] => 1

([(0,5),(3,2),(4,1),(5,3),(5,4)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => [2,2,2,2,2] => 1

([(0,5),(1,4),(3,2),(4,3),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => [2,2,2,2,2] => 1

([(0,4),(3,2),(4,5),(5,1),(5,3)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => [2,2,2,2,2] => 1

([(0,5),(1,3),(3,4),(4,2),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => [2,2,2,2,2] => 1

([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => [2,2,2,2,2] => 1

([(0,5),(1,3),(2,4),(4,5)],6) => ([(0,1),(2,5),(3,4),(4,5)],6) => [2,2,2,2] => 1

([(0,5),(1,4),(2,3),(3,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => [2,2,2,2,2] => 1

([(0,5),(1,3),(3,5),(4,2),(5,4)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => [2,2,2,2,2] => 1

([(0,5),(1,4),(2,3),(3,5),(5,4)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => [2,2,2,2,2] => 1

([(0,5),(1,4),(2,5),(3,2),(4,3)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => [2,2,2,2,2] => 1

([(0,3),(1,4),(2,5),(3,5),(4,2)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => [2,2,2,2,2] => 1

([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => [2,2,2,2,2] => 1

([],7) => ([],7) => [1,1,1,1,1,1,1] => 1

([(5,6)],7) => ([(5,6)],7) => [2,1,1,1,1,1] => 1

([(4,5),(4,6)],7) => ([(4,6),(5,6)],7) => [2,2,1,1,1,1] => 1

([(3,4),(3,5),(3,6)],7) => ([(3,6),(4,6),(5,6)],7) => [2,2,2,1,1,1] => 1

([(2,3),(2,4),(2,5),(2,6)],7) => ([(2,6),(3,6),(4,6),(5,6)],7) => [2,2,2,2,1,1] => 1

([(2,4),(2,5),(2,6),(6,3)],7) => ([(2,6),(3,6),(4,5),(5,6)],7) => [2,2,2,2,1,1] => 1

([(3,4),(3,5),(5,6)],7) => ([(3,6),(4,5),(5,6)],7) => [2,2,2,1,1,1] => 1

([(2,5),(2,6),(6,3),(6,4)],7) => ([(2,6),(3,6),(4,5),(5,6)],7) => [2,2,2,2,1,1] => 1

([(2,5),(2,6),(5,4),(6,3)],7) => ([(2,6),(3,5),(4,5),(4,6)],7) => [2,2,2,2,1,1] => 1

([(4,5),(5,6)],7) => ([(4,6),(5,6)],7) => [2,2,1,1,1,1] => 1

([(3,4),(4,5),(4,6)],7) => ([(3,6),(4,6),(5,6)],7) => [2,2,2,1,1,1] => 1

([(2,6),(6,3),(6,4),(6,5)],7) => ([(2,6),(3,6),(4,6),(5,6)],7) => [2,2,2,2,1,1] => 1

([(3,4),(4,6),(6,5)],7) => ([(3,6),(4,5),(5,6)],7) => [2,2,2,1,1,1] => 1

([(2,5),(5,6),(6,3),(6,4)],7) => ([(2,6),(3,6),(4,5),(5,6)],7) => [2,2,2,2,1,1] => 1

([(4,6),(5,6)],7) => ([(4,6),(5,6)],7) => [2,2,1,1,1,1] => 1

([(3,6),(4,6),(6,5)],7) => ([(3,6),(4,6),(5,6)],7) => [2,2,2,1,1,1] => 1

([(2,6),(3,6),(6,4),(6,5)],7) => ([(2,6),(3,6),(4,6),(5,6)],7) => [2,2,2,2,1,1] => 1

([(3,6),(4,6),(5,6)],7) => ([(3,6),(4,6),(5,6)],7) => [2,2,2,1,1,1] => 1

([(2,6),(3,6),(4,6),(6,5)],7) => ([(2,6),(3,6),(4,6),(5,6)],7) => [2,2,2,2,1,1] => 1

([(2,6),(3,6),(4,6),(5,6)],7) => ([(2,6),(3,6),(4,6),(5,6)],7) => [2,2,2,2,1,1] => 1

([(0,6),(1,6),(2,6),(3,6),(4,5)],7) => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => [2,2,2,2,2] => 1

([(1,6),(2,6),(3,6),(4,5)],7) => ([(1,2),(3,6),(4,6),(5,6)],7) => [2,2,2,2,1] => 1

([(0,6),(1,6),(2,6),(3,4),(6,5)],7) => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => [2,2,2,2,2] => 1

([(0,6),(1,6),(2,6),(3,4),(3,5)],7) => ([(0,6),(1,6),(2,6),(3,5),(4,5)],7) => [2,2,2,2,2] => 1

([(0,6),(1,6),(2,6),(3,4),(4,5)],7) => ([(0,6),(1,6),(2,6),(3,5),(4,5)],7) => [2,2,2,2,2] => 1

([(0,6),(1,6),(2,6),(3,5),(4,5)],7) => ([(0,6),(1,6),(2,6),(3,5),(4,5)],7) => [2,2,2,2,2] => 1

([(2,6),(3,6),(4,5)],7) => ([(2,3),(4,6),(5,6)],7) => [2,2,2,1,1] => 1

([(2,6),(3,5),(4,5),(4,6)],7) => ([(2,6),(3,5),(4,5),(4,6)],7) => [2,2,2,2,1,1] => 1

([(0,6),(1,5),(2,5),(2,6),(3,4)],7) => ([(0,1),(2,5),(3,4),(4,6),(5,6)],7) => [2,2,2,2,2] => 1

([(2,6),(3,6),(4,5),(6,4)],7) => ([(2,6),(3,6),(4,5),(5,6)],7) => [2,2,2,2,1,1] => 1

([(2,6),(3,5),(4,5),(5,6)],7) => ([(2,6),(3,6),(4,5),(5,6)],7) => [2,2,2,2,1,1] => 1

([(1,6),(2,6),(3,4),(6,5)],7) => ([(1,2),(3,6),(4,6),(5,6)],7) => [2,2,2,2,1] => 1

([(0,6),(1,6),(2,3),(6,4),(6,5)],7) => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => [2,2,2,2,2] => 1

([(2,6),(3,6),(4,5),(4,6)],7) => ([(2,6),(3,6),(4,5),(5,6)],7) => [2,2,2,2,1,1] => 1

([(1,6),(2,6),(3,4),(3,5)],7) => ([(1,6),(2,6),(3,5),(4,5)],7) => [2,2,2,2,1] => 1

([(0,6),(1,6),(2,3),(2,4),(6,5)],7) => ([(0,6),(1,6),(2,6),(3,5),(4,5)],7) => [2,2,2,2,2] => 1

([(0,6),(1,6),(2,3),(2,4),(2,5)],7) => ([(0,6),(1,6),(2,6),(3,5),(4,5)],7) => [2,2,2,2,2] => 1

([(0,6),(1,6),(2,3),(2,4),(4,5)],7) => ([(0,6),(1,5),(2,4),(3,4),(5,6)],7) => [2,2,2,2,2] => 1

([(2,6),(3,6),(4,5),(5,6)],7) => ([(2,6),(3,6),(4,5),(5,6)],7) => [2,2,2,2,1,1] => 1

([(1,6),(2,6),(3,4),(4,5)],7) => ([(1,6),(2,6),(3,5),(4,5)],7) => [2,2,2,2,1] => 1

([(0,6),(1,6),(2,3),(3,5),(6,4)],7) => ([(0,6),(1,6),(2,6),(3,5),(4,5)],7) => [2,2,2,2,2] => 1

([(0,3),(1,6),(2,6),(3,4),(3,5)],7) => ([(0,6),(1,6),(2,6),(3,5),(4,5)],7) => [2,2,2,2,2] => 1

([(0,3),(1,6),(2,6),(3,5),(5,4)],7) => ([(0,6),(1,5),(2,4),(3,4),(5,6)],7) => [2,2,2,2,2] => 1

([(1,6),(2,6),(3,5),(4,5)],7) => ([(1,6),(2,6),(3,5),(4,5)],7) => [2,2,2,2,1] => 1

([(0,6),(1,6),(2,5),(3,5),(6,4)],7) => ([(0,6),(1,6),(2,6),(3,5),(4,5)],7) => [2,2,2,2,2] => 1

([(0,6),(1,6),(2,5),(3,4)],7) => ([(0,3),(1,2),(4,6),(5,6)],7) => [2,2,2,2] => 1

([(0,6),(1,6),(2,3),(4,5),(6,4)],7) => ([(0,1),(2,6),(3,6),(4,5),(5,6)],7) => [2,2,2,2,2] => 1

([(0,6),(1,5),(2,5),(3,4),(5,6)],7) => ([(0,1),(2,6),(3,6),(4,5),(5,6)],7) => [2,2,2,2,2] => 1

([(0,6),(1,6),(2,5),(3,4),(3,6)],7) => ([(0,1),(2,6),(3,6),(4,5),(5,6)],7) => [2,2,2,2,2] => 1

([(0,5),(1,5),(2,6),(3,4),(3,6)],7) => ([(0,6),(1,5),(2,4),(3,4),(5,6)],7) => [2,2,2,2,2] => 1

([(0,6),(1,6),(2,4),(3,5),(5,6)],7) => ([(0,1),(2,6),(3,6),(4,5),(5,6)],7) => [2,2,2,2,2] => 1

([(0,6),(1,5),(2,5),(3,4),(4,6)],7) => ([(0,6),(1,5),(2,4),(3,4),(5,6)],7) => [2,2,2,2,2] => 1

([(3,6),(4,5)],7) => ([(3,6),(4,5)],7) => [2,2,1,1,1] => 1

([(3,6),(4,5),(4,6)],7) => ([(3,6),(4,5),(5,6)],7) => [2,2,2,1,1,1] => 1

([(2,6),(3,4),(3,6),(4,5)],7) => ([(2,6),(3,5),(4,5),(4,6)],7) => [2,2,2,2,1,1] => 1

([(2,6),(3,4),(3,6),(6,5)],7) => ([(2,6),(3,6),(4,5),(5,6)],7) => [2,2,2,2,1,1] => 1

([(2,6),(3,4),(3,5)],7) => ([(2,3),(4,6),(5,6)],7) => [2,2,2,1,1] => 1

([(2,6),(3,4),(3,5),(3,6)],7) => ([(2,6),(3,6),(4,5),(5,6)],7) => [2,2,2,2,1,1] => 1

([(1,6),(2,3),(2,4),(2,5)],7) => ([(1,2),(3,6),(4,6),(5,6)],7) => [2,2,2,2,1] => 1

([(0,6),(1,2),(1,3),(1,4),(1,5)],7) => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => [2,2,2,2,2] => 1

([(0,5),(1,3),(1,4),(1,6),(6,2)],7) => ([(0,1),(2,6),(3,6),(4,5),(5,6)],7) => [2,2,2,2,2] => 1

([(0,6),(1,3),(1,4),(1,5),(6,2)],7) => ([(0,6),(1,6),(2,6),(3,5),(4,5)],7) => [2,2,2,2,2] => 1

([(2,4),(2,6),(5,3),(6,5)],7) => ([(2,6),(3,5),(4,5),(4,6)],7) => [2,2,2,2,1,1] => 1

([(2,6),(3,4),(3,5),(5,6)],7) => ([(2,6),(3,5),(4,5),(4,6)],7) => [2,2,2,2,1,1] => 1

([(1,5),(2,4),(2,6),(6,3)],7) => ([(1,2),(3,6),(4,5),(5,6)],7) => [2,2,2,2,1] => 1

([(0,5),(1,4),(1,6),(6,2),(6,3)],7) => ([(0,1),(2,6),(3,6),(4,5),(5,6)],7) => [2,2,2,2,2] => 1

([(0,6),(1,4),(1,5),(5,3),(6,2)],7) => ([(0,6),(1,5),(2,4),(3,4),(5,6)],7) => [2,2,2,2,2] => 1

([(0,4),(1,5),(1,6),(5,3),(6,2)],7) => ([(0,1),(2,5),(3,4),(4,6),(5,6)],7) => [2,2,2,2,2] => 1

([(2,5),(2,6),(3,4),(3,6)],7) => ([(2,6),(3,5),(4,5),(4,6)],7) => [2,2,2,2,1,1] => 1

([(1,5),(1,6),(2,3),(2,4)],7) => ([(1,6),(2,6),(3,5),(4,5)],7) => [2,2,2,2,1] => 1

([(0,5),(0,6),(1,2),(1,3),(1,4)],7) => ([(0,6),(1,6),(2,6),(3,5),(4,5)],7) => [2,2,2,2,2] => 1

([(0,3),(0,4),(1,5),(1,6),(6,2)],7) => ([(0,6),(1,5),(2,4),(3,4),(5,6)],7) => [2,2,2,2,2] => 1

([(2,5),(3,4),(3,6),(5,6)],7) => ([(2,6),(3,5),(4,5),(4,6)],7) => [2,2,2,2,1,1] => 1

([(1,6),(2,4),(2,5),(6,3)],7) => ([(1,6),(2,6),(3,5),(4,5)],7) => [2,2,2,2,1] => 1

([(0,6),(1,4),(1,5),(6,2),(6,3)],7) => ([(0,6),(1,6),(2,6),(3,5),(4,5)],7) => [2,2,2,2,2] => 1

([(3,6),(4,5),(5,6)],7) => ([(3,6),(4,5),(5,6)],7) => [2,2,2,1,1,1] => 1

([(2,6),(3,4),(4,6),(6,5)],7) => ([(2,6),(3,6),(4,5),(5,6)],7) => [2,2,2,2,1,1] => 1

([(2,4),(3,5),(5,6)],7) => ([(2,3),(4,6),(5,6)],7) => [2,2,2,1,1] => 1

([(2,6),(5,4),(6,3),(6,5)],7) => ([(2,6),(3,6),(4,5),(5,6)],7) => [2,2,2,2,1,1] => 1

([(2,6),(3,4),(4,5),(4,6)],7) => ([(2,6),(3,6),(4,5),(5,6)],7) => [2,2,2,2,1,1] => 1

([(1,5),(2,6),(6,3),(6,4)],7) => ([(1,2),(3,6),(4,6),(5,6)],7) => [2,2,2,2,1] => 1

([(0,5),(1,6),(6,2),(6,3),(6,4)],7) => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => [2,2,2,2,2] => 1

([(2,6),(4,5),(5,3),(6,4)],7) => ([(2,6),(3,5),(4,5),(4,6)],7) => [2,2,2,2,1,1] => 1

([(2,5),(3,4),(4,6),(5,6)],7) => ([(2,6),(3,5),(4,5),(4,6)],7) => [2,2,2,2,1,1] => 1

([(1,6),(2,5),(5,3),(6,4)],7) => ([(1,6),(2,6),(3,5),(4,5)],7) => [2,2,2,2,1] => 1

([(0,6),(1,5),(5,4),(6,2),(6,3)],7) => ([(0,6),(1,6),(2,6),(3,5),(4,5)],7) => [2,2,2,2,2] => 1

([(2,6),(3,4),(4,5),(5,6)],7) => ([(2,6),(3,5),(4,5),(4,6)],7) => [2,2,2,2,1,1] => 1

([(1,6),(2,5),(3,4)],7) => ([(1,6),(2,5),(3,4)],7) => [2,2,2,1] => 1

([(1,6),(2,5),(3,4),(3,6)],7) => ([(1,2),(3,6),(4,5),(5,6)],7) => [2,2,2,2,1] => 1

([(0,6),(1,3),(2,4),(2,6),(4,5)],7) => ([(0,1),(2,5),(3,4),(4,6),(5,6)],7) => [2,2,2,2,2] => 1

([(0,6),(1,3),(2,4),(2,6),(6,5)],7) => ([(0,1),(2,6),(3,6),(4,5),(5,6)],7) => [2,2,2,2,2] => 1

([(0,6),(1,5),(1,6),(2,3),(2,4)],7) => ([(0,6),(1,5),(2,4),(3,4),(5,6)],7) => [2,2,2,2,2] => 1

([(0,6),(1,4),(2,3),(2,6),(4,5)],7) => ([(0,6),(1,5),(2,4),(3,4),(5,6)],7) => [2,2,2,2,2] => 1

([(0,6),(1,5),(2,3),(2,4)],7) => ([(0,3),(1,2),(4,6),(5,6)],7) => [2,2,2,2] => 1

([(0,6),(1,5),(2,3),(2,4),(2,6)],7) => ([(0,1),(2,6),(3,6),(4,5),(5,6)],7) => [2,2,2,2,2] => 1

([(0,4),(1,3),(1,6),(5,2),(6,5)],7) => ([(0,1),(2,5),(3,4),(4,6),(5,6)],7) => [2,2,2,2,2] => 1

([(0,6),(1,4),(2,3),(2,5),(5,6)],7) => ([(0,1),(2,5),(3,4),(4,6),(5,6)],7) => [2,2,2,2,2] => 1

([(0,5),(1,4),(1,6),(2,3),(2,6)],7) => ([(0,1),(2,5),(3,4),(4,6),(5,6)],7) => [2,2,2,2,2] => 1

([(0,3),(1,5),(2,4),(2,6),(5,6)],7) => ([(0,1),(2,5),(3,4),(4,6),(5,6)],7) => [2,2,2,2,2] => 1

([(0,6),(1,3),(1,4),(5,2),(6,5)],7) => ([(0,6),(1,5),(2,4),(3,4),(5,6)],7) => [2,2,2,2,2] => 1

([(0,6),(1,5),(2,3),(2,4),(5,6)],7) => ([(0,6),(1,5),(2,4),(3,4),(5,6)],7) => [2,2,2,2,2] => 1

([(1,6),(2,4),(5,3),(6,5)],7) => ([(1,2),(3,6),(4,5),(5,6)],7) => [2,2,2,2,1] => 1

([(0,4),(1,5),(5,6),(6,2),(6,3)],7) => ([(0,1),(2,6),(3,6),(4,5),(5,6)],7) => [2,2,2,2,2] => 1

([(0,5),(1,6),(4,3),(5,4),(6,2)],7) => ([(0,6),(1,5),(2,4),(3,4),(5,6)],7) => [2,2,2,2,2] => 1

([(1,6),(2,4),(3,5),(5,6)],7) => ([(1,2),(3,6),(4,5),(5,6)],7) => [2,2,2,2,1] => 1

([(0,6),(1,3),(2,4),(4,6),(6,5)],7) => ([(0,1),(2,6),(3,6),(4,5),(5,6)],7) => [2,2,2,2,2] => 1

([(0,5),(1,4),(2,6),(6,3)],7) => ([(0,3),(1,2),(4,6),(5,6)],7) => [2,2,2,2] => 1

([(0,4),(1,6),(5,3),(6,2),(6,5)],7) => ([(0,1),(2,6),(3,6),(4,5),(5,6)],7) => [2,2,2,2,2] => 1

([(0,6),(1,3),(2,4),(4,5),(4,6)],7) => ([(0,1),(2,6),(3,6),(4,5),(5,6)],7) => [2,2,2,2,2] => 1

([(0,6),(1,3),(4,5),(5,2),(6,4)],7) => ([(0,1),(2,5),(3,4),(4,6),(5,6)],7) => [2,2,2,2,2] => 1

([(0,6),(1,3),(2,4),(3,5),(4,6)],7) => ([(0,6),(1,5),(2,4),(3,4),(5,6)],7) => [2,2,2,2,2] => 1

([(0,5),(1,4),(2,3),(4,6),(5,6)],7) => ([(0,1),(2,5),(3,4),(4,6),(5,6)],7) => [2,2,2,2,2] => 1

([(0,6),(1,3),(2,4),(4,5),(5,6)],7) => ([(0,1),(2,5),(3,4),(4,6),(5,6)],7) => [2,2,2,2,2] => 1

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$F_{1} = q$

$F_{2} = 2\ q$

$F_{3} = 5\ q$

$F_{4} = 16\ q$

Description

The number of proper colouring schemes of a Ferrers diagram.
A colouring of a Ferrers diagram is proper if no two cells in a row or in a column have the same colour. The minimal number of colours needed is the maximum of the length and the first part of the partition, because we can restrict a latin square to the shape. We can associate to each colouring the integer partition recording how often each colour is used, see [1].
This statistic is the number of distinct such integer partitions that occur.

Map

clique sizes

Description

The integer partition of the sizes of the maximal cliques of a graph.

Map

to graph

Description

Returns the Hasse diagram of the poset as an undirected graph.