Identifier
Mp00154: Graphs coreGraphs
Mp00243: Graphs weak duplicate orderPosets
Mp00125: Posets dual poset Posets
Images
=>
Cc0020;cc-rep-0Cc0020;cc-rep-1Cc0014;cc-rep-2Cc0014;cc-rep-3
([],1)=>([],1)=>([],1)=>([],1) ([],2)=>([],1)=>([],1)=>([],1) ([(0,1)],2)=>([(0,1)],2)=>([],2)=>([],2) ([],3)=>([],1)=>([],1)=>([],1) ([(1,2)],3)=>([(0,1)],2)=>([],2)=>([],2) ([(0,2),(1,2)],3)=>([(0,1)],2)=>([],2)=>([],2) ([(0,1),(0,2),(1,2)],3)=>([(0,1),(0,2),(1,2)],3)=>([],3)=>([],3) ([],4)=>([],1)=>([],1)=>([],1) ([(2,3)],4)=>([(0,1)],2)=>([],2)=>([],2) ([(1,3),(2,3)],4)=>([(0,1)],2)=>([],2)=>([],2) ([(0,3),(1,3),(2,3)],4)=>([(0,1)],2)=>([],2)=>([],2) ([(0,3),(1,2)],4)=>([(0,1)],2)=>([],2)=>([],2) ([(0,3),(1,2),(2,3)],4)=>([(0,1)],2)=>([],2)=>([],2) ([(1,2),(1,3),(2,3)],4)=>([(0,1),(0,2),(1,2)],3)=>([],3)=>([],3) ([(0,3),(1,2),(1,3),(2,3)],4)=>([(0,1),(0,2),(1,2)],3)=>([],3)=>([],3) ([(0,2),(0,3),(1,2),(1,3)],4)=>([(0,1)],2)=>([],2)=>([],2) ([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>([(0,1),(0,2),(1,2)],3)=>([],3)=>([],3) ([(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)=>([],4)=>([],4) ([],5)=>([],1)=>([],1)=>([],1) ([(3,4)],5)=>([(0,1)],2)=>([],2)=>([],2) ([(2,4),(3,4)],5)=>([(0,1)],2)=>([],2)=>([],2) ([(1,4),(2,4),(3,4)],5)=>([(0,1)],2)=>([],2)=>([],2) ([(0,4),(1,4),(2,4),(3,4)],5)=>([(0,1)],2)=>([],2)=>([],2) ([(1,4),(2,3)],5)=>([(0,1)],2)=>([],2)=>([],2) ([(1,4),(2,3),(3,4)],5)=>([(0,1)],2)=>([],2)=>([],2) ([(0,1),(2,4),(3,4)],5)=>([(0,1)],2)=>([],2)=>([],2) ([(2,3),(2,4),(3,4)],5)=>([(0,1),(0,2),(1,2)],3)=>([],3)=>([],3) ([(0,4),(1,4),(2,3),(3,4)],5)=>([(0,1)],2)=>([],2)=>([],2) ([(1,4),(2,3),(2,4),(3,4)],5)=>([(0,1),(0,2),(1,2)],3)=>([],3)=>([],3) ([(0,4),(1,4),(2,3),(2,4),(3,4)],5)=>([(0,1),(0,2),(1,2)],3)=>([],3)=>([],3) ([(1,3),(1,4),(2,3),(2,4)],5)=>([(0,1)],2)=>([],2)=>([],2) ([(0,4),(1,2),(1,3),(2,4),(3,4)],5)=>([(0,1)],2)=>([],2)=>([],2) ([(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([(0,1),(0,2),(1,2)],3)=>([],3)=>([],3) ([(0,4),(1,3),(2,3),(2,4),(3,4)],5)=>([(0,1),(0,2),(1,2)],3)=>([],3)=>([],3) ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([(0,1),(0,2),(1,2)],3)=>([],3)=>([],3) ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5)=>([(0,1)],2)=>([],2)=>([],2) ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([(0,1),(0,2),(1,2)],3)=>([],3)=>([],3) ([(0,4),(1,3),(2,3),(2,4)],5)=>([(0,1)],2)=>([],2)=>([],2) ([(0,1),(2,3),(2,4),(3,4)],5)=>([(0,1),(0,2),(1,2)],3)=>([],3)=>([],3) ([(0,3),(1,2),(1,4),(2,4),(3,4)],5)=>([(0,1),(0,2),(1,2)],3)=>([],3)=>([],3) ([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5)=>([(0,1),(0,2),(1,2)],3)=>([],3)=>([],3) ([(0,3),(0,4),(1,2),(1,4),(2,3)],5)=>([(0,3),(0,4),(1,2),(1,4),(2,3)],5)=>([],5)=>([],5) ([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5)=>([(0,1),(0,2),(1,2)],3)=>([],3)=>([],3) ([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5)=>([(0,1),(0,2),(1,2)],3)=>([],3)=>([],3) ([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5)=>([(0,1),(0,2),(1,2)],3)=>([],3)=>([],3) ([(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>([],4)=>([],4) ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>([],4)=>([],4) ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>([],4)=>([],4) ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4)],5)=>([(0,1),(0,2),(1,2)],3)=>([],3)=>([],3) ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5)=>([(0,1),(0,2),(1,2)],3)=>([],3)=>([],3) ([(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),(1,2),(1,3),(2,3)],4)=>([],4)=>([],4) ([(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)=>([],5)=>([],5) ([],6)=>([],1)=>([],1)=>([],1) ([(4,5)],6)=>([(0,1)],2)=>([],2)=>([],2) ([(3,5),(4,5)],6)=>([(0,1)],2)=>([],2)=>([],2) ([(2,5),(3,5),(4,5)],6)=>([(0,1)],2)=>([],2)=>([],2) ([(1,5),(2,5),(3,5),(4,5)],6)=>([(0,1)],2)=>([],2)=>([],2) ([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>([(0,1)],2)=>([],2)=>([],2) ([(2,5),(3,4)],6)=>([(0,1)],2)=>([],2)=>([],2) ([(2,5),(3,4),(4,5)],6)=>([(0,1)],2)=>([],2)=>([],2) ([(1,2),(3,5),(4,5)],6)=>([(0,1)],2)=>([],2)=>([],2) ([(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3)=>([],3)=>([],3) ([(1,5),(2,5),(3,4),(4,5)],6)=>([(0,1)],2)=>([],2)=>([],2) ([(0,1),(2,5),(3,5),(4,5)],6)=>([(0,1)],2)=>([],2)=>([],2) ([(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3)=>([],3)=>([],3) ([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>([(0,1)],2)=>([],2)=>([],2) ([(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3)=>([],3)=>([],3) ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3)=>([],3)=>([],3) ([(2,4),(2,5),(3,4),(3,5)],6)=>([(0,1)],2)=>([],2)=>([],2) ([(0,5),(1,5),(2,4),(3,4)],6)=>([(0,1)],2)=>([],2)=>([],2) ([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>([(0,1)],2)=>([],2)=>([],2) ([(0,5),(1,5),(2,3),(3,4),(4,5)],6)=>([(0,1)],2)=>([],2)=>([],2) ([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3)=>([],3)=>([],3) ([(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3)=>([],3)=>([],3) ([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>([(0,1)],2)=>([],2)=>([],2) ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>([(0,1)],2)=>([],2)=>([],2) ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3)=>([],3)=>([],3) ([(0,5),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3)=>([],3)=>([],3) ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3)=>([],3)=>([],3) ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,1)],2)=>([],2)=>([],2) ([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,1)],2)=>([],2)=>([],2) ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,1)],2)=>([],2)=>([],2) ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3)=>([],3)=>([],3) ([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3)=>([],3)=>([],3) ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3)=>([],3)=>([],3) ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,1)],2)=>([],2)=>([],2) ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3)=>([],3)=>([],3) ([(0,5),(1,4),(2,3)],6)=>([(0,1)],2)=>([],2)=>([],2) ([(1,5),(2,4),(3,4),(3,5)],6)=>([(0,1)],2)=>([],2)=>([],2) ([(0,1),(2,5),(3,4),(4,5)],6)=>([(0,1)],2)=>([],2)=>([],2) ([(1,2),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3)=>([],3)=>([],3) ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>([(0,1)],2)=>([],2)=>([],2) ([(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3)=>([],3)=>([],3) ([(0,1),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3)=>([],3)=>([],3) ([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3)=>([],3)=>([],3) ([(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3)=>([],3)=>([],3) ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3)=>([],3)=>([],3) ([(1,4),(1,5),(2,3),(2,5),(3,4)],6)=>([(0,3),(0,4),(1,2),(1,4),(2,3)],5)=>([],5)=>([],5) ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>([(0,1)],2)=>([],2)=>([],2) ([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3)=>([],3)=>([],3) ([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)=>([(0,3),(0,4),(1,2),(1,4),(2,3)],5)=>([],5)=>([],5) ([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3)=>([],3)=>([],3) ([(0,5),(1,4),(2,3),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3)=>([],3)=>([],3) ([(0,5),(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3)=>([],3)=>([],3) ([(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3)=>([],3)=>([],3) ([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3)=>([],3)=>([],3) ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3)=>([],3)=>([],3) ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>([(0,1)],2)=>([],2)=>([],2) ([(0,1),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,1)],2)=>([],2)=>([],2) ([(0,5),(1,5),(2,3),(2,4),(3,4)],6)=>([(0,1),(0,2),(1,2)],3)=>([],3)=>([],3) ([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)=>([(0,1)],2)=>([],2)=>([],2) ([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5)],6)=>([(0,1),(0,2),(1,2)],3)=>([],3)=>([],3) ([(0,4),(1,2),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3)=>([],3)=>([],3) ([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3)=>([],3)=>([],3) ([(0,4),(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3)=>([],3)=>([],3) ([(0,3),(0,4),(1,2),(1,5),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3)=>([],3)=>([],3) ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3)=>([],3)=>([],3) ([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3)=>([],3)=>([],3) ([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3)=>([],3)=>([],3) ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>([],4)=>([],4) ([(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3)=>([],3)=>([],3) ([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>([],4)=>([],4) ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>([],4)=>([],4) ([(0,1),(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,3),(0,4),(1,2),(1,4),(2,3)],5)=>([],5)=>([],5) ([(0,3),(0,5),(1,3),(1,5),(2,4),(2,5),(3,4),(4,5)],6)=>([(0,1),(0,2),(1,2)],3)=>([],3)=>([],3) ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3)=>([],3)=>([],3) ([(0,5),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3)=>([],3)=>([],3) ([(0,1),(0,5),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3)=>([],3)=>([],3) ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3)=>([],3)=>([],3) ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,1),(0,2),(1,2)],3)=>([],3)=>([],3) ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>([],4)=>([],4) ([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>([],4)=>([],4) ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>([],4)=>([],4) ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,1),(0,2),(1,2)],3)=>([],3)=>([],3) ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>([],4)=>([],4) ([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>([(0,1)],2)=>([],2)=>([],2) ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,1),(0,2),(1,2)],3)=>([],3)=>([],3) ([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3)=>([],3)=>([],3) ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3)=>([],3)=>([],3) ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3)=>([],3)=>([],3) ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6)=>([(0,1)],2)=>([],2)=>([],2) ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6)=>([(0,1)],2)=>([],2)=>([],2) ([(0,5),(1,2),(1,4),(2,3),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3)=>([],3)=>([],3) ([(0,1),(0,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3)=>([],3)=>([],3) ([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,1),(0,2),(1,2)],3)=>([],3)=>([],3) ([(0,5),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,1),(0,2),(1,2)],3)=>([],3)=>([],3) ([(0,1),(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3)=>([],3)=>([],3) ([(0,4),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3)=>([],3)=>([],3) ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3)=>([],3)=>([],3) ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3)=>([],3)=>([],3) ([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,1)],2)=>([],2)=>([],2) ([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3)=>([],3)=>([],3) ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,1),(0,2),(1,2)],3)=>([],3)=>([],3) ([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3)=>([],3)=>([],3) ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3)=>([],3)=>([],3) ([(0,5),(1,2),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3)=>([],3)=>([],3) ([(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),(1,2),(1,3),(2,3)],4)=>([],4)=>([],4) ([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>([],4)=>([],4) ([(0,5),(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),(1,2),(1,3),(2,3)],4)=>([],4)=>([],4) ([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3)=>([],3)=>([],3) ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3)=>([],3)=>([],3) ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>([],4)=>([],4) ([(0,4),(0,5),(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),(1,2),(1,3),(2,3)],4)=>([],4)=>([],4) ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,1)],2)=>([],2)=>([],2) ([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3)=>([],3)=>([],3) ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,1),(0,2),(1,2)],3)=>([],3)=>([],3) ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3)=>([],3)=>([],3) ([(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)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>([],4)=>([],4) ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6)=>([(0,1),(0,2),(1,2)],3)=>([],3)=>([],3) ([(0,2),(1,4),(1,5),(2,3),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3)=>([],3)=>([],3) ([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>([(0,1),(0,2),(1,2)],3)=>([],3)=>([],3) ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>([],4)=>([],4) ([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3)=>([],3)=>([],3) ([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>([],4)=>([],4) ([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>([],4)=>([],4) ([(0,4),(0,5),(1,2),(1,3),(2,3),(2,5),(3,4),(4,5)],6)=>([(0,1),(0,2),(1,2)],3)=>([],3)=>([],3) ([(0,4),(0,5),(1,2),(1,3),(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3)=>([],3)=>([],3) ([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>([],4)=>([],4) ([(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3)=>([],3)=>([],3) ([(0,1),(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>([],4)=>([],4) ([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>([],4)=>([],4) ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,1),(0,2),(1,2)],3)=>([],3)=>([],3) ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>([],4)=>([],4) ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4)],6)=>([(0,1),(0,2),(1,2)],3)=>([],3)=>([],3) ([(0,1),(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,1),(0,2),(1,2)],3)=>([],3)=>([],3) ([(0,3),(0,4),(1,2),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3)=>([],3)=>([],3) ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>([],6)=>([],6) ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,5),(3,4)],6)=>([(0,1),(0,2),(1,2)],3)=>([],3)=>([],3) ([(0,1),(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3)=>([],3)=>([],3) ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,2)],3)=>([],3)=>([],3) ([(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),(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>([],4)=>([],4) ([(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)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>([],4)=>([],4) ([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>([],4)=>([],4) ([(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>([],4)=>([],4) ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>([],4)=>([],4) ([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>([],4)=>([],4) ([(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),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([],5)=>([],5) ([(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),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([],5)=>([],5) ([(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),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([],5)=>([],5) ([(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),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([],5)=>([],5) ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,1),(0,2),(1,2)],3)=>([],3)=>([],3) ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>([],4)=>([],4) ([(0,1),(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>([],4)=>([],4) ([(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)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>([],4)=>([],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)=>([(0,1),(0,2),(1,2)],3)=>([],3)=>([],3) ([(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)=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>([],4)=>([],4) ([(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),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([],5)=>([],5) ([(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)=>([],6)=>([],6)
Map
core
Description
The core of a graph.
The core of a graph $G$ is the smallest graph $C$ such that there is a homomorphism from $G$ to $C$ and a homomorphism from $C$ to $G$.
Note that the core of a graph is not necessarily connected, see [2].
Map
weak duplicate order
Description
The weak duplicate order of the de-duplicate of a graph.
Let $G=(V, E)$ be a graph and let $N=\{ N_v | v\in V\}$ be the set of (distinct) neighbourhoods of $G$.
This map yields the poset obtained by ordering $N$ by reverse inclusion.
Map
dual poset
Description
The dual of a poset.
The dual (or opposite) of a poset $(\mathcal P,\leq)$ is the poset $(\mathcal P^d,\leq_d)$ with $x \leq_d y$ if $y \leq x$.