Identifier
Values
=>
Cc0020;cc-rep-0 Cc0020;cc-rep-1 Cc0020;cc-rep
([(0,1),(0,2),(1,2)],3)=>([(0,1),(0,2),(1,2)],3)=>([(0,1),(0,2),(1,2)],3)=>0 ([(0,3),(1,3),(2,3)],4)=>([(0,1),(0,2),(1,2)],3)=>([(0,1),(0,2),(1,2)],3)=>0 ([(0,3),(1,2),(2,3)],4)=>([(0,2),(1,2)],3)=>([(0,2),(1,2)],3)=>1 ([(1,2),(1,3),(2,3)],4)=>([(0,1),(0,2),(1,2)],3)=>([(0,1),(0,2),(1,2)],3)=>0 ([(0,3),(1,2),(1,3),(2,3)],4)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>0 ([(0,2),(0,3),(1,2),(1,3)],4)=>([(0,2),(0,3),(1,2),(1,3)],4)=>([(0,2),(0,3),(1,2),(1,3)],4)=>0 ([(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)=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5)=>0 ([(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)=>([(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)=>0 ([(1,4),(2,4),(3,4)],5)=>([(0,1),(0,2),(1,2)],3)=>([(0,1),(0,2),(1,2)],3)=>0 ([(0,4),(1,4),(2,4),(3,4)],5)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>0 ([(1,4),(2,3),(3,4)],5)=>([(0,2),(1,2)],3)=>([(0,2),(1,2)],3)=>1 ([(0,1),(2,4),(3,4)],5)=>([(1,2)],3)=>([(1,2)],3)=>2 ([(2,3),(2,4),(3,4)],5)=>([(0,1),(0,2),(1,2)],3)=>([(0,1),(0,2),(1,2)],3)=>0 ([(0,4),(1,4),(2,3),(3,4)],5)=>([(0,3),(1,2),(1,3),(2,3)],4)=>([(0,3),(1,2),(1,3),(2,3)],4)=>1 ([(1,4),(2,3),(2,4),(3,4)],5)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>0 ([(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)=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>0 ([(1,3),(1,4),(2,3),(2,4)],5)=>([(0,2),(0,3),(1,2),(1,3)],4)=>([(0,2),(0,3),(1,2),(1,3)],4)=>0 ([(0,4),(1,2),(1,3),(2,4),(3,4)],5)=>([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5)=>([(0,4),(1,3),(2,3),(2,4)],5)=>1 ([(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)=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5)=>0 ([(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)=>([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5)=>0 ([(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)=>([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>0 ([(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)=>([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6)=>0 ([(0,4),(1,3),(2,3),(2,4)],5)=>([(0,3),(1,2),(2,3)],4)=>([(0,3),(1,2),(2,3)],4)=>1 ([(0,1),(2,3),(2,4),(3,4)],5)=>([(1,2),(1,3),(2,3)],4)=>([(1,2),(1,3),(2,3)],4)=>2 ([(0,3),(1,2),(1,4),(2,4),(3,4)],5)=>([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5)=>([(0,4),(1,4),(2,3),(3,4)],5)=>2 ([(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)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2 ([(0,3),(0,4),(1,2),(1,4),(2,3)],5)=>([(0,3),(0,4),(1,2),(1,4),(2,3)],5)=>([(0,3),(0,4),(1,2),(1,4),(2,3)],5)=>0 ([(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)=>([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)=>1 ([(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)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>2 ([(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)=>([(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)=>0 ([(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3)=>([(0,1),(0,2),(1,2)],3)=>0 ([(1,5),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>0 ([(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)=>([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>0 ([(2,5),(3,4),(4,5)],6)=>([(0,2),(1,2)],3)=>([(0,2),(1,2)],3)=>1 ([(1,2),(3,5),(4,5)],6)=>([(1,2)],3)=>([(1,2)],3)=>2 ([(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3)=>([(0,1),(0,2),(1,2)],3)=>0 ([(1,5),(2,5),(3,4),(4,5)],6)=>([(0,3),(1,2),(1,3),(2,3)],4)=>([(0,3),(1,2),(1,3),(2,3)],4)=>1 ([(0,1),(2,5),(3,5),(4,5)],6)=>([(1,2),(1,3),(2,3)],4)=>([(1,2),(1,3),(2,3)],4)=>2 ([(2,5),(3,4),(3,5),(4,5)],6)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>0 ([(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)=>([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>1 ([(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)=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>0 ([(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)=>([(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)=>0 ([(2,4),(2,5),(3,4),(3,5)],6)=>([(0,2),(0,3),(1,2),(1,3)],4)=>([(0,2),(0,3),(1,2),(1,3)],4)=>0 ([(0,5),(1,5),(2,4),(3,4)],6)=>([(0,3),(1,2)],4)=>([(0,3),(1,2)],4)=>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)=>([(0,4),(1,3),(2,3),(2,4)],5)=>1 ([(0,5),(1,5),(2,3),(3,4),(4,5)],6)=>([(0,3),(1,2),(1,4),(2,4),(3,4)],5)=>([(0,4),(1,2),(1,3),(2,4),(3,4)],5)=>1 ([(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)=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5)=>0 ([(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)=>([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5)=>0 ([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5)=>([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5)=>1 ([(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)=>([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)=>2 ([(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)=>([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>0 ([(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)=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>0 ([(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)=>([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6)=>0 ([(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)=>([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6)=>0 ([(0,5),(1,4),(2,3)],6)=>([],3)=>([],3)=>3 ([(1,5),(2,4),(3,4),(3,5)],6)=>([(0,3),(1,2),(2,3)],4)=>([(0,3),(1,2),(2,3)],4)=>1 ([(0,1),(2,5),(3,4),(4,5)],6)=>([(1,3),(2,3)],4)=>([(1,3),(2,3)],4)=>2 ([(1,2),(3,4),(3,5),(4,5)],6)=>([(1,2),(1,3),(2,3)],4)=>([(1,2),(1,3),(2,3)],4)=>2 ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>([(0,4),(1,3),(2,3),(2,4),(3,4)],5)=>([(0,4),(1,3),(2,3),(2,4),(3,4)],5)=>1 ([(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5)=>([(0,4),(1,4),(2,3),(3,4)],5)=>2 ([(0,1),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2 ([(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)=>([(0,5),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>2 ([(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)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2 ([(1,4),(1,5),(2,3),(2,5),(3,4)],6)=>([(0,3),(0,4),(1,2),(1,4),(2,3)],5)=>([(0,3),(0,4),(1,2),(1,4),(2,3)],5)=>0 ([(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)=>([(0,5),(1,2),(1,4),(2,3),(3,4),(3,5),(4,5)],6)=>1 ([(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)=>([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)=>1 ([(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)=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4)],6)=>0 ([(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)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>2 ([(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)=>([(0,5),(1,4),(2,3),(3,4),(3,5),(4,5)],6)=>2 ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>([(0,4),(1,3),(2,3),(2,4)],5)=>([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5)=>0 ([(0,1),(2,4),(2,5),(3,4),(3,5)],6)=>([(1,3),(1,4),(2,3),(2,4)],5)=>([(1,3),(1,4),(2,3),(2,4)],5)=>2 ([(0,5),(1,5),(2,3),(2,4),(3,4)],6)=>([(0,1),(2,3),(2,4),(3,4)],5)=>([(0,1),(2,3),(2,4),(3,4)],5)=>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)=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>0 ([(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)=>([(0,3),(0,5),(1,3),(1,5),(2,4),(2,5),(3,4),(4,5)],6)=>1 ([(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)=>([(0,5),(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>1 ([(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)=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>2 ([(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)=>([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>1 ([(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)=>([(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)=>0 ([(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)=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,5),(3,4)],6)=>0 ([(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)=>([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6)=>2 ([(3,6),(4,6),(5,6)],7)=>([(0,1),(0,2),(1,2)],3)=>([(0,1),(0,2),(1,2)],3)=>0 ([(2,6),(3,6),(4,6),(5,6)],7)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>0 ([(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)=>([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>0 ([(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)=>([(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)=>0 ([(3,6),(4,5),(5,6)],7)=>([(0,2),(1,2)],3)=>([(0,2),(1,2)],3)=>1 ([(2,3),(4,6),(5,6)],7)=>([(1,2)],3)=>([(1,2)],3)=>2 ([(4,5),(4,6),(5,6)],7)=>([(0,1),(0,2),(1,2)],3)=>([(0,1),(0,2),(1,2)],3)=>0 ([(2,6),(3,6),(4,5),(5,6)],7)=>([(0,3),(1,2),(1,3),(2,3)],4)=>([(0,3),(1,2),(1,3),(2,3)],4)=>1 ([(1,2),(3,6),(4,6),(5,6)],7)=>([(1,2),(1,3),(2,3)],4)=>([(1,2),(1,3),(2,3)],4)=>2 ([(3,6),(4,5),(4,6),(5,6)],7)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>0 ([(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)=>([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>1 ([(0,1),(2,6),(3,6),(4,6),(5,6)],7)=>([(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2 ([(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)=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>0 ([(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)=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>1 ([(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)=>([(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)=>0 ([(3,5),(3,6),(4,5),(4,6)],7)=>([(0,2),(0,3),(1,2),(1,3)],4)=>([(0,2),(0,3),(1,2),(1,3)],4)=>0 ([(1,6),(2,6),(3,5),(4,5)],7)=>([(0,3),(1,2)],4)=>([(0,3),(1,2)],4)=>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)=>([(0,4),(1,3),(2,3),(2,4)],5)=>1 ([(1,6),(2,6),(3,4),(4,5),(5,6)],7)=>([(0,3),(1,2),(1,4),(2,4),(3,4)],5)=>([(0,4),(1,2),(1,3),(2,4),(3,4)],5)=>1 ([(0,6),(1,6),(2,6),(3,5),(4,5)],7)=>([(0,1),(2,3),(2,4),(3,4)],5)=>([(0,1),(2,3),(2,4),(3,4)],5)=>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)=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5)=>0 ([(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)=>([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5)=>0 ([(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5)=>([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5)=>1 ([(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)=>([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)=>2 ([(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)=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>2 ([(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)=>([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>0 ([(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)=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>0 ([(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)=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>1 ([(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)=>([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6)=>0 ([(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)=>([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6)=>0 ([(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)=>([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>0 ([(1,6),(2,5),(3,4)],7)=>([],3)=>([],3)=>3 ([(2,6),(3,5),(4,5),(4,6)],7)=>([(0,3),(1,2),(2,3)],4)=>([(0,3),(1,2),(2,3)],4)=>1 ([(1,2),(3,6),(4,5),(5,6)],7)=>([(1,3),(2,3)],4)=>([(1,3),(2,3)],4)=>2 ([(0,3),(1,2),(4,6),(5,6)],7)=>([(2,3)],4)=>([(2,3)],4)=>3 ([(2,3),(4,5),(4,6),(5,6)],7)=>([(1,2),(1,3),(2,3)],4)=>([(1,2),(1,3),(2,3)],4)=>2 ([(1,6),(2,5),(3,4),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4),(3,4)],5)=>([(0,4),(1,3),(2,3),(2,4),(3,4)],5)=>1 ([(0,1),(2,6),(3,6),(4,5),(5,6)],7)=>([(1,4),(2,3),(2,4),(3,4)],5)=>([(1,4),(2,3),(2,4),(3,4)],5)=>2 ([(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5)=>([(0,4),(1,4),(2,3),(3,4)],5)=>2 ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2 ([(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)=>([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2 ([(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)=>([(0,5),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>2 ([(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)=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2 ([(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)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2 ([(2,5),(2,6),(3,4),(3,6),(4,5)],7)=>([(0,3),(0,4),(1,2),(1,4),(2,3)],5)=>([(0,3),(0,4),(1,2),(1,4),(2,3)],5)=>0 ([(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)=>([(0,5),(1,2),(1,4),(2,3),(3,4),(3,5),(4,5)],6)=>1 ([(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)=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>0 ([(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)=>([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)=>1 ([(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)=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4)],6)=>0 ([(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)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>2 ([(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)=>([(0,5),(1,4),(2,3),(3,4),(3,5),(4,5)],6)=>2 ([(1,6),(2,5),(3,4),(3,5),(4,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5)=>0 ([(1,2),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,3),(1,4),(2,3),(2,4)],5)=>([(1,3),(1,4),(2,3),(2,4)],5)=>2 ([(0,6),(1,5),(2,4),(3,4),(5,6)],7)=>([(0,1),(2,4),(3,4)],5)=>([(0,1),(2,4),(3,4)],5)=>2 ([(1,6),(2,6),(3,4),(3,5),(4,5)],7)=>([(0,1),(2,3),(2,4),(3,4)],5)=>([(0,1),(2,3),(2,4),(3,4)],5)=>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)=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>0 ([(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)=>([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>0 ([(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)=>([(1,5),(2,4),(3,4),(3,5)],6)=>2 ([(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)=>([(0,3),(0,5),(1,3),(1,5),(2,4),(2,5),(3,4),(4,5)],6)=>1 ([(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)=>([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>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)=>([(0,5),(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>1 ([(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)=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>2 ([(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)=>([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>1 ([(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)=>([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>2 ([(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)=>([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>1 ([(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)=>([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6)=>2 ([(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)=>([(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)=>0 ([(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)=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,5),(3,4)],6)=>0 ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5)],7)=>([(0,1),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,1),(2,4),(2,5),(3,4),(3,5)],6)=>2 ([(0,1),(2,5),(3,4),(4,6),(5,6)],7)=>([(1,4),(2,3),(3,4)],5)=>([(1,4),(2,3),(3,4)],5)=>2 ([(0,3),(1,2),(4,5),(4,6),(5,6)],7)=>([(2,3),(2,4),(3,4)],5)=>([(2,3),(2,4),(3,4)],5)=>3 ([(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)=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>0 ([(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)=>([(1,5),(2,5),(3,4),(4,5)],6)=>3 ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>([(0,1),(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>0 ([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5)],7)=>([(1,4),(1,5),(2,3),(2,5),(3,4)],6)=>([(1,4),(1,5),(2,3),(2,5),(3,4)],6)=>2 ([(0,6),(1,5),(2,3),(2,4),(3,4),(5,6)],7)=>([(0,5),(1,5),(2,3),(2,4),(3,4)],6)=>([(0,5),(1,5),(2,3),(2,4),(3,4)],6)=>2 ([(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)=>([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6)=>2
search for individual values
searching the database for the individual values of this statistic
Description
The minimal number of edges to add to make a graph Hamiltonian.
A graph is Hamiltonian if it contains a cycle as a subgraph, which contains all vertices.
Map
connected complement
Description
The componentwise connected complement of a graph.
For a connected graph $G$, this map returns the complement of $G$ if it is connected, otherwise $G$ itself. If $G$ is not connected, the map is applied to each connected component separately.
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 $G$.