Identifier
Mp00156: Graphs —line graph⟶ Graphs
Mp00037: Graphs —to partition of connected components⟶ Integer partitions
Images
=>
Cc0020;cc-rep-0Cc0020;cc-rep-1Cc0002;cc-rep-2
([(0,1)],2)=>([],1)=>[1] ([(1,2)],3)=>([],1)=>[1] ([(0,2),(1,2)],3)=>([(0,1)],2)=>[2] ([(0,1),(0,2),(1,2)],3)=>([(0,1),(0,2),(1,2)],3)=>[3] ([(2,3)],4)=>([],1)=>[1] ([(1,3),(2,3)],4)=>([(0,1)],2)=>[2] ([(0,3),(1,3),(2,3)],4)=>([(0,1),(0,2),(1,2)],3)=>[3] ([(0,3),(1,2)],4)=>([],2)=>[1,1] ([(0,3),(1,2),(2,3)],4)=>([(0,2),(1,2)],3)=>[3] ([(1,2),(1,3),(2,3)],4)=>([(0,1),(0,2),(1,2)],3)=>[3] ([(0,3),(1,2),(1,3),(2,3)],4)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>[4] ([(0,2),(0,3),(1,2),(1,3)],4)=>([(0,2),(0,3),(1,2),(1,3)],4)=>[4] ([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5)=>[5] ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>([(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)=>[6] ([(3,4)],5)=>([],1)=>[1] ([(2,4),(3,4)],5)=>([(0,1)],2)=>[2] ([(1,4),(2,4),(3,4)],5)=>([(0,1),(0,2),(1,2)],3)=>[3] ([(0,4),(1,4),(2,4),(3,4)],5)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>[4] ([(1,4),(2,3)],5)=>([],2)=>[1,1] ([(1,4),(2,3),(3,4)],5)=>([(0,2),(1,2)],3)=>[3] ([(0,1),(2,4),(3,4)],5)=>([(1,2)],3)=>[2,1] ([(2,3),(2,4),(3,4)],5)=>([(0,1),(0,2),(1,2)],3)=>[3] ([(0,4),(1,4),(2,3),(3,4)],5)=>([(0,3),(1,2),(1,3),(2,3)],4)=>[4] ([(1,4),(2,3),(2,4),(3,4)],5)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>[4] ([(0,4),(1,4),(2,3),(2,4),(3,4)],5)=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5] ([(1,3),(1,4),(2,3),(2,4)],5)=>([(0,2),(0,3),(1,2),(1,3)],4)=>[4] ([(0,4),(1,2),(1,3),(2,4),(3,4)],5)=>([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5)=>[5] ([(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5)=>[5] ([(0,4),(1,3),(2,3),(2,4),(3,4)],5)=>([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5)=>[5] ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6] ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5)=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,5),(3,4)],6)=>[6] ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7] ([(0,4),(1,3),(2,3),(2,4)],5)=>([(0,3),(1,2),(2,3)],4)=>[4] ([(0,1),(2,3),(2,4),(3,4)],5)=>([(1,2),(1,3),(2,3)],4)=>[3,1] ([(0,3),(1,2),(1,4),(2,4),(3,4)],5)=>([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5)=>[5] ([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5)=>([(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6] ([(0,3),(0,4),(1,2),(1,4),(2,3)],5)=>([(0,3),(0,4),(1,2),(1,4),(2,3)],5)=>[5] ([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5)=>([(0,3),(0,4),(1,2),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>[6] ([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5)=>([(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)=>[7] ([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5)=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>[6] ([(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([(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)=>[6] ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7] ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4)],5)=>([(0,1),(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(5,6)],7)=>[7] ([(4,5)],6)=>([],1)=>[1] ([(3,5),(4,5)],6)=>([(0,1)],2)=>[2] ([(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3)=>[3] ([(1,5),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>[4] ([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5] ([(2,5),(3,4)],6)=>([],2)=>[1,1] ([(2,5),(3,4),(4,5)],6)=>([(0,2),(1,2)],3)=>[3] ([(1,2),(3,5),(4,5)],6)=>([(1,2)],3)=>[2,1] ([(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3)=>[3] ([(1,5),(2,5),(3,4),(4,5)],6)=>([(0,3),(1,2),(1,3),(2,3)],4)=>[4] ([(0,1),(2,5),(3,5),(4,5)],6)=>([(1,2),(1,3),(2,3)],4)=>[3,1] ([(2,5),(3,4),(3,5),(4,5)],6)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>[4] ([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5] ([(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5] ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>([(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)=>[6] ([(2,4),(2,5),(3,4),(3,5)],6)=>([(0,2),(0,3),(1,2),(1,3)],4)=>[4] ([(0,5),(1,5),(2,4),(3,4)],6)=>([(0,3),(1,2)],4)=>[2,2] ([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5)=>[5] ([(0,5),(1,5),(2,3),(3,4),(4,5)],6)=>([(0,3),(1,2),(1,4),(2,4),(3,4)],5)=>[5] ([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5)=>[5] ([(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5)=>[5] ([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5)=>[5] ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>([(0,1),(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6] ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6] ([(0,5),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6] ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7] ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,5),(3,4)],6)=>[6] ([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,4),(0,5),(1,2),(1,3),(2,3),(2,5),(3,4),(4,5)],6)=>[6] ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,1),(0,2),(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7] ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7] ([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7] ([(0,5),(1,4),(2,3)],6)=>([],3)=>[1,1,1] ([(1,5),(2,4),(3,4),(3,5)],6)=>([(0,3),(1,2),(2,3)],4)=>[4] ([(0,1),(2,5),(3,4),(4,5)],6)=>([(1,3),(2,3)],4)=>[3,1] ([(1,2),(3,4),(3,5),(4,5)],6)=>([(1,2),(1,3),(2,3)],4)=>[3,1] ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>([(0,4),(1,3),(2,3),(2,4),(3,4)],5)=>[5] ([(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5)=>[5] ([(0,1),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[4,1] ([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6] ([(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>([(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6] ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7] ([(1,4),(1,5),(2,3),(2,5),(3,4)],6)=>([(0,3),(0,4),(1,2),(1,4),(2,3)],5)=>[5] ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>[6] ([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,3),(0,4),(1,2),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>[6] ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>[6] ([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>[6] ([(0,5),(1,4),(2,3),(3,4),(3,5),(4,5)],6)=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>[6] ([(0,5),(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,3),(0,5),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[7] ([(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7] ([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>([(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)=>[7] ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>([(0,4),(1,3),(2,3),(2,4)],5)=>[5] ([(0,1),(2,4),(2,5),(3,4),(3,5)],6)=>([(1,3),(1,4),(2,3),(2,4)],5)=>[4,1] ([(0,5),(1,5),(2,3),(2,4),(3,4)],6)=>([(0,1),(2,3),(2,4),(3,4)],5)=>[3,2] ([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)=>([(0,5),(1,2),(1,4),(2,3),(3,4),(3,5),(4,5)],6)=>[6] ([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5)],6)=>([(0,2),(1,4),(1,5),(2,3),(3,4),(3,5),(4,5)],6)=>[6] ([(0,4),(1,2),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>[6] ([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>[5,1] ([(0,4),(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>[6] ([(0,3),(0,4),(1,2),(1,5),(2,5),(3,5),(4,5)],6)=>([(0,3),(0,4),(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7] ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6)=>([(0,5),(1,2),(1,4),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7] ([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,4),(0,5),(1,2),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7] ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(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)=>[6] ([(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7] ([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7] ([(0,1),(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5)],7)=>[7] ([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>([(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(5,6)],7)=>[7] ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,1),(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(5,6)],7)=>[7] ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6)=>([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6)=>[6] ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6)=>([(0,4),(0,5),(1,2),(1,3),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7] ([(0,5),(1,2),(1,4),(2,3),(3,4),(3,5),(4,5)],6)=>([(0,5),(0,6),(1,2),(1,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7] ([(0,1),(0,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,5),(1,4),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>[7] ([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(5,6)],7)=>[7] ([(0,5),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,4),(0,6),(1,2),(1,3),(1,5),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[7] ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6)=>([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6)=>[3,3] ([(0,2),(1,4),(1,5),(2,3),(3,4),(3,5),(4,5)],6)=>([(0,3),(1,2),(1,4),(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7] ([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>([(0,4),(0,5),(1,2),(1,3),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[7] ([(0,1),(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),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1] ([(5,6)],7)=>([],1)=>[1] ([(4,6),(5,6)],7)=>([(0,1)],2)=>[2] ([(3,6),(4,6),(5,6)],7)=>([(0,1),(0,2),(1,2)],3)=>[3] ([(2,6),(3,6),(4,6),(5,6)],7)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>[4] ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5] ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>([(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)=>[6] ([(3,6),(4,5)],7)=>([],2)=>[1,1] ([(3,6),(4,5),(5,6)],7)=>([(0,2),(1,2)],3)=>[3] ([(2,3),(4,6),(5,6)],7)=>([(1,2)],3)=>[2,1] ([(4,5),(4,6),(5,6)],7)=>([(0,1),(0,2),(1,2)],3)=>[3] ([(2,6),(3,6),(4,5),(5,6)],7)=>([(0,3),(1,2),(1,3),(2,3)],4)=>[4] ([(1,2),(3,6),(4,6),(5,6)],7)=>([(1,2),(1,3),(2,3)],4)=>[3,1] ([(3,6),(4,5),(4,6),(5,6)],7)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>[4] ([(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5] ([(0,1),(2,6),(3,6),(4,6),(5,6)],7)=>([(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[4,1] ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5] ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6] ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>([(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)=>[6] ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(0,6),(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)=>[7] ([(3,5),(3,6),(4,5),(4,6)],7)=>([(0,2),(0,3),(1,2),(1,3)],4)=>[4] ([(1,6),(2,6),(3,5),(4,5)],7)=>([(0,3),(1,2)],4)=>[2,2] ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5)=>[5] ([(1,6),(2,6),(3,4),(4,5),(5,6)],7)=>([(0,3),(1,2),(1,4),(2,4),(3,4)],5)=>[5] ([(0,6),(1,6),(2,6),(3,5),(4,5)],7)=>([(0,1),(2,3),(2,4),(3,4)],5)=>[3,2] ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5)=>[5] ([(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5)=>[5] ([(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5)=>[5] ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,1),(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6] ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6] ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6] ([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6] ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6] ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,1),(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7] ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,1),(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7] ([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,1),(0,6),(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)=>[7] ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,5),(3,4)],6)=>[6] ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,4),(0,5),(1,2),(1,3),(2,3),(2,5),(3,4),(4,5)],6)=>[6] ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>[6] ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,1),(0,2),(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7] ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(5,6)],7)=>[7] ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7] ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7] ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7] ([(1,6),(2,5),(3,4)],7)=>([],3)=>[1,1,1] ([(2,6),(3,5),(4,5),(4,6)],7)=>([(0,3),(1,2),(2,3)],4)=>[4] ([(1,2),(3,6),(4,5),(5,6)],7)=>([(1,3),(2,3)],4)=>[3,1] ([(0,3),(1,2),(4,6),(5,6)],7)=>([(2,3)],4)=>[2,1,1] ([(2,3),(4,5),(4,6),(5,6)],7)=>([(1,2),(1,3),(2,3)],4)=>[3,1] ([(1,6),(2,5),(3,4),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4),(3,4)],5)=>[5] ([(0,1),(2,6),(3,6),(4,5),(5,6)],7)=>([(1,4),(2,3),(2,4),(3,4)],5)=>[4,1] ([(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5)=>[5] ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[4,1] ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)=>([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6] ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6] ([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[5,1] ([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>([(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6] ([(0,6),(1,6),(2,3),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7] ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7] ([(2,5),(2,6),(3,4),(3,6),(4,5)],7)=>([(0,3),(0,4),(1,2),(1,4),(2,3)],5)=>[5] ([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>[6] ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)=>([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5)],6)=>[6] ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,3),(0,4),(1,2),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>[6] ([(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7)=>([(0,1),(0,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>[6] ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>[6] ([(1,6),(2,5),(3,4),(4,5),(4,6),(5,6)],7)=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>[6] ([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)=>([(0,4),(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>[7] ([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,3),(0,5),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[7] ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7] ([(0,6),(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7)=>([(0,1),(0,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7] ([(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7] ([(0,6),(1,6),(2,5),(3,4),(4,5),(4,6),(5,6)],7)=>([(0,4),(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7] ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(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)=>[7] ([(1,6),(2,5),(3,4),(3,5),(4,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>[5] ([(1,2),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,3),(1,4),(2,3),(2,4)],5)=>[4,1] ([(0,6),(1,5),(2,4),(3,4),(5,6)],7)=>([(0,1),(2,4),(3,4)],5)=>[3,2] ([(1,6),(2,6),(3,4),(3,5),(4,5)],7)=>([(0,1),(2,3),(2,4),(3,4)],5)=>[3,2] ([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)=>([(0,5),(1,2),(1,4),(2,3),(3,4),(3,5),(4,5)],6)=>[6] ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)=>([(0,4),(1,2),(2,5),(3,4),(3,5),(4,5)],6)=>[6] ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>[5,1] ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6)],7)=>([(0,2),(1,4),(1,5),(2,3),(3,4),(3,5),(4,5)],6)=>[6] ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7)=>([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[4,2] ([(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>[6] ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>[5,1] ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)=>([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>[6] ([(0,1),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>[5,1] ([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>[6] ([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)=>([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7] ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)=>([(0,3),(0,4),(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7] ([(0,5),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6)],7)=>([(0,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7] ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,5),(1,2),(1,4),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7] ([(0,6),(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7] ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(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] ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(0,5),(1,2),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7] ([(0,6),(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>([(0,1),(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7] ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7)=>([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6)=>[3,3] ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(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)=>[6] ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7)=>([(0,4),(0,5),(1,2),(1,3),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[7] ([(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7] ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7] ([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5)],7)=>[7] ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7)=>([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>[7] ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)=>([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5)],7)=>[7] ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5)],7)=>[6,1] ([(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6)],7)=>([(0,4),(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5)],7)=>[7] ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(5,6)],7)=>[7] ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,1),(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(5,6)],7)=>[7] ([(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7)=>([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6)=>[6] ([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)=>([(0,4),(0,5),(1,2),(1,3),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7] ([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)=>([(0,1),(0,3),(1,2),(2,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7] ([(1,6),(2,3),(2,5),(3,4),(4,5),(4,6),(5,6)],7)=>([(0,5),(0,6),(1,2),(1,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7] ([(1,2),(1,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,1),(0,5),(1,4),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>[7] ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7)=>([(0,1),(0,5),(1,4),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>[7] ([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(5,6)],7)=>[7] ([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,4),(0,6),(1,2),(1,3),(1,5),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[7] ([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[7] ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5)],7)=>([(0,1),(2,4),(2,5),(3,4),(3,5)],6)=>[4,2] ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7)=>([(0,3),(1,2),(1,5),(2,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7] ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7)=>([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[5,2] ([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(5,6)],7)=>([(0,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7] ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)=>([(0,1),(0,6),(1,6),(2,3),(2,5),(3,4),(4,5),(4,6),(5,6)],7)=>[7] ([(0,4),(1,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,1),(0,5),(1,5),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7] ([(0,1),(2,5),(3,4),(4,6),(5,6)],7)=>([(1,4),(2,3),(3,4)],5)=>[4,1] ([(0,3),(1,2),(4,5),(4,6),(5,6)],7)=>([(2,3),(2,4),(3,4)],5)=>[3,1,1] ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>([(0,5),(1,4),(2,3),(3,4),(3,5),(4,5)],6)=>[6] ([(0,1),(2,3),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>[5,1] ([(0,5),(1,4),(2,3),(2,6),(3,6),(4,6),(5,6)],7)=>([(0,6),(1,5),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7] ([(0,1),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>([(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1] ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>[6] ([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5)],7)=>([(1,4),(1,5),(2,3),(2,5),(3,4)],6)=>[5,1] ([(0,6),(1,5),(2,3),(2,4),(3,4),(5,6)],7)=>([(0,5),(1,5),(2,3),(2,4),(3,4)],6)=>[3,3] ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)=>([(0,5),(1,3),(1,4),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>[7] ([(0,4),(1,3),(2,5),(2,6),(3,5),(4,6),(5,6)],7)=>([(0,5),(1,4),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>[7] ([(0,1),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>([(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[6,1] ([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>([(0,6),(1,2),(1,3),(2,5),(3,4),(4,5),(4,6),(5,6)],7)=>[7] ([(0,6),(1,4),(2,3),(2,5),(3,5),(4,6),(5,6)],7)=>([(0,5),(1,3),(1,4),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7] ([(0,5),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6)],7)=>([(0,3),(1,3),(1,4),(2,5),(2,6),(4,5),(4,6),(5,6)],7)=>[7] ([(0,5),(1,4),(2,3),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7] ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7)=>([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6)=>[3,3] ([(1,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)=>([(0,3),(1,2),(1,4),(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7] ([(0,1),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[6,1] ([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7)=>([(0,4),(0,5),(1,2),(1,3),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[7] ([(0,6),(1,2),(1,3),(2,3),(4,5),(4,6),(5,6)],7)=>([(0,1),(0,2),(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,3] ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(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] ([(0,5),(0,6),(1,2),(1,4),(2,3),(3,5),(4,6)],7)=>([(0,5),(0,6),(1,2),(1,4),(2,3),(3,5),(4,6)],7)=>[7] ([(0,5),(0,6),(1,2),(1,3),(2,3),(4,5),(4,6)],7)=>([(0,5),(0,6),(1,2),(1,3),(2,3),(4,5),(4,6)],7)=>[4,3]
Map
line graph
Description
The line graph of a graph.
Let $G$ be a graph with edge set $E$. Then its line graph is the graph with vertex set $E$, such that two vertices $e$ and $f$ are adjacent if and only if they are incident to a common vertex in $G$.
Map
to partition of connected components
Description
Return the partition of the sizes of the connected components of the graph.