Identifier
Mp00259: Graphs —vertex addition⟶ Graphs
Mp00037: Graphs —to partition of connected components⟶ Integer partitions
Images
=>
Cc0020;cc-rep-0Cc0020;cc-rep-1Cc0002;cc-rep-2
([],1)=>([],2)=>[1,1] ([],2)=>([],3)=>[1,1,1] ([(0,1)],2)=>([(1,2)],3)=>[2,1] ([],3)=>([],4)=>[1,1,1,1] ([(1,2)],3)=>([(2,3)],4)=>[2,1,1] ([(0,2),(1,2)],3)=>([(1,3),(2,3)],4)=>[3,1] ([(0,1),(0,2),(1,2)],3)=>([(1,2),(1,3),(2,3)],4)=>[3,1] ([],4)=>([],5)=>[1,1,1,1,1] ([(2,3)],4)=>([(3,4)],5)=>[2,1,1,1] ([(1,3),(2,3)],4)=>([(2,4),(3,4)],5)=>[3,1,1] ([(0,3),(1,3),(2,3)],4)=>([(1,4),(2,4),(3,4)],5)=>[4,1] ([(0,3),(1,2)],4)=>([(1,4),(2,3)],5)=>[2,2,1] ([(0,3),(1,2),(2,3)],4)=>([(1,4),(2,3),(3,4)],5)=>[4,1] ([(1,2),(1,3),(2,3)],4)=>([(2,3),(2,4),(3,4)],5)=>[3,1,1] ([(0,3),(1,2),(1,3),(2,3)],4)=>([(1,4),(2,3),(2,4),(3,4)],5)=>[4,1] ([(0,2),(0,3),(1,2),(1,3)],4)=>([(1,3),(1,4),(2,3),(2,4)],5)=>[4,1] ([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>([(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[4,1] ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>([(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[4,1] ([],5)=>([],6)=>[1,1,1,1,1,1] ([(3,4)],5)=>([(4,5)],6)=>[2,1,1,1,1] ([(2,4),(3,4)],5)=>([(3,5),(4,5)],6)=>[3,1,1,1] ([(1,4),(2,4),(3,4)],5)=>([(2,5),(3,5),(4,5)],6)=>[4,1,1] ([(0,4),(1,4),(2,4),(3,4)],5)=>([(1,5),(2,5),(3,5),(4,5)],6)=>[5,1] ([(1,4),(2,3)],5)=>([(2,5),(3,4)],6)=>[2,2,1,1] ([(1,4),(2,3),(3,4)],5)=>([(2,5),(3,4),(4,5)],6)=>[4,1,1] ([(0,1),(2,4),(3,4)],5)=>([(1,2),(3,5),(4,5)],6)=>[3,2,1] ([(2,3),(2,4),(3,4)],5)=>([(3,4),(3,5),(4,5)],6)=>[3,1,1,1] ([(0,4),(1,4),(2,3),(3,4)],5)=>([(1,5),(2,5),(3,4),(4,5)],6)=>[5,1] ([(1,4),(2,3),(2,4),(3,4)],5)=>([(2,5),(3,4),(3,5),(4,5)],6)=>[4,1,1] ([(0,4),(1,4),(2,3),(2,4),(3,4)],5)=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>[5,1] ([(1,3),(1,4),(2,3),(2,4)],5)=>([(2,4),(2,5),(3,4),(3,5)],6)=>[4,1,1] ([(0,4),(1,2),(1,3),(2,4),(3,4)],5)=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>[5,1] ([(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[4,1,1] ([(0,4),(1,3),(2,3),(2,4),(3,4)],5)=>([(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>[5,1] ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[5,1] ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5)=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>[5,1] ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[5,1] ([(0,4),(1,3),(2,3),(2,4)],5)=>([(1,5),(2,4),(3,4),(3,5)],6)=>[5,1] ([(0,1),(2,3),(2,4),(3,4)],5)=>([(1,2),(3,4),(3,5),(4,5)],6)=>[3,2,1] ([(0,3),(1,2),(1,4),(2,4),(3,4)],5)=>([(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>[5,1] ([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5)=>([(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>[5,1] ([(0,3),(0,4),(1,2),(1,4),(2,3)],5)=>([(1,4),(1,5),(2,3),(2,5),(3,4)],6)=>[5,1] ([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5)=>([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>[5,1] ([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5)=>([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>[5,1] ([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5)=>([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>[5,1] ([(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[4,1,1] ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[5,1] ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[5,1] ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4)],5)=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>[5,1] ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5)=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>[5,1] ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[5,1] ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[5,1] ([],6)=>([],7)=>[1,1,1,1,1,1,1] ([(4,5)],6)=>([(5,6)],7)=>[2,1,1,1,1,1] ([(3,5),(4,5)],6)=>([(4,6),(5,6)],7)=>[3,1,1,1,1] ([(2,5),(3,5),(4,5)],6)=>([(3,6),(4,6),(5,6)],7)=>[4,1,1,1] ([(1,5),(2,5),(3,5),(4,5)],6)=>([(2,6),(3,6),(4,6),(5,6)],7)=>[5,1,1] ([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>[6,1] ([(2,5),(3,4)],6)=>([(3,6),(4,5)],7)=>[2,2,1,1,1] ([(2,5),(3,4),(4,5)],6)=>([(3,6),(4,5),(5,6)],7)=>[4,1,1,1] ([(1,2),(3,5),(4,5)],6)=>([(2,3),(4,6),(5,6)],7)=>[3,2,1,1] ([(3,4),(3,5),(4,5)],6)=>([(4,5),(4,6),(5,6)],7)=>[3,1,1,1,1] ([(1,5),(2,5),(3,4),(4,5)],6)=>([(2,6),(3,6),(4,5),(5,6)],7)=>[5,1,1] ([(0,1),(2,5),(3,5),(4,5)],6)=>([(1,2),(3,6),(4,6),(5,6)],7)=>[4,2,1] ([(2,5),(3,4),(3,5),(4,5)],6)=>([(3,6),(4,5),(4,6),(5,6)],7)=>[4,1,1,1] ([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>[6,1] ([(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1] ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1] ([(2,4),(2,5),(3,4),(3,5)],6)=>([(3,5),(3,6),(4,5),(4,6)],7)=>[4,1,1,1] ([(0,5),(1,5),(2,4),(3,4)],6)=>([(1,6),(2,6),(3,5),(4,5)],7)=>[3,3,1] ([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[5,1,1] ([(0,5),(1,5),(2,3),(3,4),(4,5)],6)=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)=>[6,1] ([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,1,1,1] ([(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>([(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>[5,1,1] ([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>([(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>[6,1] ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[6,1] ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1] ([(0,5),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>[6,1] ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1] ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[5,1,1] ([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1] ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1] ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1] ([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1] ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1] ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1] ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1] ([(0,5),(1,4),(2,3)],6)=>([(1,6),(2,5),(3,4)],7)=>[2,2,2,1] ([(1,5),(2,4),(3,4),(3,5)],6)=>([(2,6),(3,5),(4,5),(4,6)],7)=>[5,1,1] ([(0,1),(2,5),(3,4),(4,5)],6)=>([(1,2),(3,6),(4,5),(5,6)],7)=>[4,2,1] ([(1,2),(3,4),(3,5),(4,5)],6)=>([(2,3),(4,5),(4,6),(5,6)],7)=>[3,2,1,1] ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>([(1,6),(2,5),(3,4),(4,6),(5,6)],7)=>[6,1] ([(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>([(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>[5,1,1] ([(0,1),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,2),(3,6),(4,5),(4,6),(5,6)],7)=>[4,2,1] ([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[6,1] ([(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[5,1,1] ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[6,1] ([(1,4),(1,5),(2,3),(2,5),(3,4)],6)=>([(2,5),(2,6),(3,4),(3,6),(4,5)],7)=>[5,1,1] ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[6,1] ([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>[5,1,1] ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)=>([(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7)=>[6,1] ([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[5,1,1] ([(0,5),(1,4),(2,3),(3,4),(3,5),(4,5)],6)=>([(1,6),(2,5),(3,4),(4,5),(4,6),(5,6)],7)=>[6,1] ([(0,5),(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>[6,1] ([(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1] ([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1] ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1] ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>([(1,6),(2,5),(3,4),(3,5),(4,6)],7)=>[6,1] ([(0,1),(2,4),(2,5),(3,4),(3,5)],6)=>([(1,2),(3,5),(3,6),(4,5),(4,6)],7)=>[4,2,1] ([(0,5),(1,5),(2,3),(2,4),(3,4)],6)=>([(1,6),(2,6),(3,4),(3,5),(4,5)],7)=>[3,3,1] ([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)=>([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)=>[6,1] ([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5)],6)=>([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6)],7)=>[6,1] ([(0,4),(1,2),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1] ([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,2,1] ([(0,4),(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>[6,1] ([(0,3),(0,4),(1,2),(1,5),(2,5),(3,5),(4,5)],6)=>([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)=>[6,1] ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6)=>([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>[6,1] ([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1] ([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1] ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,1,1,1] ([(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>([(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[6,1] ([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1] ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1] ([(0,1),(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)=>([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1] ([(0,3),(0,5),(1,3),(1,5),(2,4),(2,5),(3,4),(4,5)],6)=>([(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)=>[6,1] ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1] ([(0,5),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>([(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[6,1] ([(0,1),(0,5),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1] ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1] ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1] ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1] ([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1] ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1] ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1] ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1] ([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[6,1] ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[5,1,1] ([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[6,1] ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[5,1,1] ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[6,1] ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6)=>([(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7)=>[6,1] ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6)=>([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)=>[6,1] ([(0,5),(1,2),(1,4),(2,3),(3,4),(3,5),(4,5)],6)=>([(1,6),(2,3),(2,5),(3,4),(4,5),(4,6),(5,6)],7)=>[6,1] ([(0,1),(0,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>([(1,2),(1,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>[6,1] ([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1] ([(0,5),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5)],6)=>([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1] ([(0,1),(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1] ([(0,4),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>([(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[6,1] ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[6,1] ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[6,1] ([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1] ([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[6,1] ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1] ([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1] ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1] ([(0,5),(1,2),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1] ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1] ([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1] ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1] ([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1] ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[6,1] ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1] ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1] ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[6,1] ([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1] ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1] ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[6,1] ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1] ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6)=>([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7)=>[3,3,1] ([(0,2),(1,4),(1,5),(2,3),(3,4),(3,5),(4,5)],6)=>([(1,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)=>[6,1] ([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7)=>[6,1] ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,2,1] ([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[6,1] ([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1] ([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1] ([(0,4),(0,5),(1,2),(1,3),(2,3),(2,5),(3,4),(4,5)],6)=>([(1,5),(1,6),(2,3),(2,4),(3,4),(3,6),(4,5),(5,6)],7)=>[6,1] ([(0,4),(0,5),(1,2),(1,3),(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>[6,1] ([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1] ([(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1] ([(0,1),(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1] ([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1] ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1] ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1] ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4)],6)=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5)],7)=>[6,1] ([(0,1),(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1] ([(0,3),(0,4),(1,2),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>([(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[6,1] ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[6,1] ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,5),(3,4)],6)=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5)],7)=>[6,1] ([(0,1),(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1] ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[6,1] ([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1] ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1] ([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>([(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[6,1] ([(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1] ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1] ([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1] ([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1] ([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1] ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1] ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1] ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1] ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1] ([(0,1),(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1] ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[6,1] ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1] ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1] ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1] ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1] ([(2,6),(3,6),(4,6),(5,6)],7)=>([(3,7),(4,7),(5,7),(6,7)],8)=>[5,1,1,1] ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)=>[6,1,1] ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[6,1,1] ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[7,1] ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[6,1,1] ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[7,1] ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>[7,1] ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[6,1,1] ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[7,1] ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>([(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)=>[7,1] ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[4,1,1,1,1] ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7)=>([(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7)],8)=>[7,1] ([(0,5),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,6),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>[7,1] ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[7,1] ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6)],7)=>([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7)],8)=>[7,1] ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[7,1] ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[7,1] ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[7,1] ([(0,3),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)=>([(1,4),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)=>[7,1] ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[7,1] ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[7,1] ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[7,1] ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)=>[7,1] ([(0,4),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)=>([(1,5),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)=>[7,1] ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[7,1] ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[7,1] ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[7,1] ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)=>[7,1] ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)=>([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)=>[7,1] ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[7,1] ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[7,1] ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,6),(4,6),(5,6)],7)=>([(1,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7),(6,7)],8)=>[7,1] ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>([(1,7),(2,6),(3,4),(3,5),(4,6),(5,7)],8)=>[7,1] ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[4,2,1,1] ([(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[6,1,1] ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>([(1,4),(2,5),(2,6),(3,5),(3,6),(4,7),(5,7),(6,7)],8)=>[7,1] ([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[7,1] ([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[7,1] ([(0,4),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)=>([(1,5),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)=>[7,1] ([(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,3),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[4,3,1] ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)=>[7,1] ([(0,3),(0,5),(0,6),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)=>[7,1] ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[7,1] ([(0,3),(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,4),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)=>[7,1] ([(0,1),(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,2),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[7,1] ([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[7,1] ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,6),(4,6),(5,6)],7)=>([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)=>[7,1] ([(0,1),(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[7,1] ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[7,1] ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[7,1] ([(0,1),(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,2),(1,3),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[4,3,1] ([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(5,6)],7)=>([(1,4),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)=>[7,1] ([(0,1),(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(1,2),(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)=>[7,1] ([(0,1),(0,3),(0,4),(0,6),(1,2),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,2),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[7,1]
Map
vertex addition
Description
Adds a disconnected vertex to a graph.
Map
to partition of connected components
Description
Return the partition of the sizes of the connected components of the graph.