Identifier
Identifier
Values
([],1) generating graphics... => 1
([],2) generating graphics... => 0
([(0,1)],2) generating graphics... => 1
([],3) generating graphics... => 0
([(1,2)],3) generating graphics... => 0
([(0,2),(1,2)],3) generating graphics... => 2
([(0,1),(0,2),(1,2)],3) generating graphics... => 0
([],4) generating graphics... => 0
([(2,3)],4) generating graphics... => 0
([(1,3),(2,3)],4) generating graphics... => 0
([(1,2),(1,3),(2,3)],4) generating graphics... => 0
([(0,3),(1,3),(2,3)],4) generating graphics... => 2
([(0,3),(1,2)],4) generating graphics... => 0
([(0,3),(1,2),(2,3)],4) generating graphics... => 3
([(0,3),(1,2),(1,3),(2,3)],4) generating graphics... => 0
([(0,2),(0,3),(1,2),(1,3)],4) generating graphics... => 0
([(0,2),(0,3),(1,2),(1,3),(2,3)],4) generating graphics... => 0
([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) generating graphics... => 0
([],5) generating graphics... => 0
([(3,4)],5) generating graphics... => 0
([(2,4),(3,4)],5) generating graphics... => 0
([(2,3),(2,4),(3,4)],5) generating graphics... => 0
([(1,4),(2,4),(3,4)],5) generating graphics... => 0
([(0,4),(1,4),(2,4),(3,4)],5) generating graphics... => 2
([(1,4),(2,3)],5) generating graphics... => 0
([(1,4),(2,3),(3,4)],5) generating graphics... => 0
([(1,4),(2,3),(2,4),(3,4)],5) generating graphics... => 0
([(1,3),(1,4),(2,3),(2,4)],5) generating graphics... => 0
([(1,3),(1,4),(2,3),(2,4),(3,4)],5) generating graphics... => 0
([(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) generating graphics... => 0
([(0,1),(2,4),(3,4)],5) generating graphics... => 0
([(0,4),(1,4),(2,3),(3,4)],5) generating graphics... => 8
([(0,4),(1,4),(2,3),(2,4),(3,4)],5) generating graphics... => 0
([(0,4),(1,3),(2,3),(2,4)],5) generating graphics... => 4
([(0,4),(1,3),(2,3),(2,4),(3,4)],5) generating graphics... => 0
([(0,4),(1,2),(1,3),(2,4),(3,4)],5) generating graphics... => 0
([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) generating graphics... => 0
([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) generating graphics... => 0
([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) generating graphics... => 0
([(0,3),(0,4),(1,2),(1,4),(2,3)],5) generating graphics... => 0
([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5) generating graphics... => 0
([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5) generating graphics... => 0
([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4)],5) generating graphics... => 0
([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) generating graphics... => 0
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5) generating graphics... => 0
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) generating graphics... => 0
([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) generating graphics... => 0
([(0,1),(2,3),(2,4),(3,4)],5) generating graphics... => 0
([(0,3),(1,2),(1,4),(2,4),(3,4)],5) generating graphics... => 0
([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5) generating graphics... => 0
([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) generating graphics... => 0
([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5) generating graphics... => 0
([],6) generating graphics... => 0
([(4,5)],6) generating graphics... => 0
([(3,5),(4,5)],6) generating graphics... => 0
([(3,4),(3,5),(4,5)],6) generating graphics... => 0
([(2,5),(3,5),(4,5)],6) generating graphics... => 0
([(1,5),(2,5),(3,5),(4,5)],6) generating graphics... => 0
([(0,5),(1,5),(2,5),(3,5),(4,5)],6) generating graphics... => 2
([(2,5),(3,4)],6) generating graphics... => 0
([(2,5),(3,4),(4,5)],6) generating graphics... => 0
([(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 0
([(2,4),(2,5),(3,4),(3,5)],6) generating graphics... => 0
([(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 0
([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 0
([(1,2),(3,5),(4,5)],6) generating graphics... => 0
([(1,5),(2,5),(3,4),(4,5)],6) generating graphics... => 0
([(1,5),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 0
([(1,5),(2,4),(3,4),(3,5)],6) generating graphics... => 0
([(1,5),(2,4),(3,4),(3,5),(4,5)],6) generating graphics... => 0
([(1,5),(2,3),(2,4),(3,5),(4,5)],6) generating graphics... => 0
([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 0
([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) generating graphics... => 0
([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 0
([(1,4),(1,5),(2,3),(2,5),(3,4)],6) generating graphics... => 0
([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6) generating graphics... => 0
([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 0
([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) generating graphics... => 0
([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 0
([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) generating graphics... => 0
([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 0
([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 0
([(1,2),(3,4),(3,5),(4,5)],6) generating graphics... => 0
([(1,4),(2,3),(2,5),(3,5),(4,5)],6) generating graphics... => 0
([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) generating graphics... => 0
([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 0
([(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) generating graphics... => 0
([(0,1),(2,5),(3,5),(4,5)],6) generating graphics... => 0
([(0,5),(1,5),(2,5),(3,4),(4,5)],6) generating graphics... => 10
([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 0
([(0,5),(1,5),(2,4),(3,4)],6) generating graphics... => 0
([(0,5),(1,5),(2,4),(3,4),(4,5)],6) generating graphics... => 5
([(0,5),(1,5),(2,3),(3,4),(4,5)],6) generating graphics... => 10
([(0,5),(1,5),(2,4),(3,4),(3,5),(4,5)],6) generating graphics... => 0
([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6) generating graphics... => 0
([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 0
([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) generating graphics... => 0
([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 0
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) generating graphics... => 0
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 0
([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) generating graphics... => 0
([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 0
([(0,5),(1,5),(2,3),(2,4),(3,4)],6) generating graphics... => 0
([(0,4),(1,4),(2,3),(2,5),(3,5),(4,5)],6) generating graphics... => 0
([(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) generating graphics... => 0
([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 0
([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5)],6) generating graphics... => 0
([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 0
([(0,5),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5)],6) generating graphics... => 0
([(0,5),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) generating graphics... => 0
([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) generating graphics... => 0
([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 0
([(0,3),(0,4),(1,2),(1,5),(2,5),(3,5),(4,5)],6) generating graphics... => 0
([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 0
([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) generating graphics... => 0
([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6) generating graphics... => 0
([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) generating graphics... => 0
([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 0
([(0,5),(1,4),(2,3)],6) generating graphics... => 0
([(0,1),(2,5),(3,4),(4,5)],6) generating graphics... => 0
([(0,1),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 0
([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) generating graphics... => 0
([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) generating graphics... => 0
([(0,1),(2,4),(2,5),(3,4),(3,5)],6) generating graphics... => 0
([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 0
([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 0
([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6) generating graphics... => 0
([(0,2),(1,4),(1,5),(2,3),(3,4),(3,5),(4,5)],6) generating graphics... => 0
([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 0
([(0,4),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) generating graphics... => 0
([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 0
([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) generating graphics... => 0
([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 0
([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 0
([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 0
([(0,5),(1,2),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 0
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 0
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6) generating graphics... => 0
([(0,5),(1,2),(1,4),(2,3),(3,4),(3,5),(4,5)],6) generating graphics... => 0
([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,5),(4,5)],6) generating graphics... => 0
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) generating graphics... => 0
([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) generating graphics... => 0
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 0
([(0,5),(1,4),(2,3),(3,5),(4,5)],6) generating graphics... => 10
([(0,5),(1,4),(2,3),(3,4),(3,5),(4,5)],6) generating graphics... => 0
([(0,5),(1,4),(2,3),(2,4),(3,5)],6) generating graphics... => 5
([(0,4),(1,2),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 0
([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5)],6) generating graphics... => 0
([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 0
([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) generating graphics... => 0
([(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 0
([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) generating graphics... => 0
([(0,5),(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6) generating graphics... => 0
([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 0
([(0,1),(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6) generating graphics... => 0
([(0,3),(0,5),(1,3),(1,5),(2,4),(2,5),(3,4),(4,5)],6) generating graphics... => 0
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 0
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) generating graphics... => 0
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 0
([(0,1),(0,5),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 0
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6) generating graphics... => 0
([(0,1),(0,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6) generating graphics... => 0
([(0,1),(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5)],6) generating graphics... => 0
([(0,1),(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 0
([(0,3),(0,4),(1,2),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) generating graphics... => 0
([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) generating graphics... => 0
([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) generating graphics... => 0
([(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) generating graphics... => 0
([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 0
([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) generating graphics... => 0
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) generating graphics... => 0
([(0,4),(0,5),(1,2),(1,3),(1,4),(2,3),(2,5),(3,5),(4,5)],6) generating graphics... => 0
([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 0
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) generating graphics... => 0
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 0
([(0,4),(0,5),(1,2),(1,3),(2,3),(2,5),(3,4),(4,5)],6) generating graphics... => 0
([(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 0
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(3,5),(4,5)],6) generating graphics... => 0
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) generating graphics... => 0
([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6) generating graphics... => 0
([(0,1),(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 0
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) generating graphics... => 0
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4)],6) generating graphics... => 0
([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 0
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 0
([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6) generating graphics... => 0
([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) generating graphics... => 0
([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 0
([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 0
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,5),(3,4)],6) generating graphics... => 0
([(0,1),(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 0
([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 0
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) generating graphics... => 0
([(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) generating graphics... => 0
([(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) generating graphics... => 0
([(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) generating graphics... => 0
([(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) generating graphics... => 0
([(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) generating graphics... => 0
([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) generating graphics... => 0
([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 0
([(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 0
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) generating graphics... => 0
([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 0
([(0,1),(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 0
([(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) generating graphics... => 0
([(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) generating graphics... => 0
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) generating graphics... => 0
([(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) generating graphics... => 0
click to show generating function       
Description
The size of the preimage of the map 'to graph' from Ordered trees to Graphs.
Code
@cached_function
def preimages(level):
    result = dict()
    for el in OrderedTrees(level):
        image = el.to_undirected_graph().canonical_label().copy(immutable=True)
        result[image] = result.get(image, 0) + 1
    return result

def statistic(x):
     return preimages(x.num_verts()).get(x.canonical_label().copy(immutable=True), 0)

Created
Sep 10, 2015 at 14:57 by Martin Rubey
Updated
Sep 10, 2015 at 14:57 by Martin Rubey