- FindStat

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Identifier

Mp00046: Ordered trees —to graph⟶ Graphs

Images

[] => ([],1)

[[]] => ([(0,1)],2)

[[],[]] => ([(0,2),(1,2)],3)

[[[]]] => ([(0,2),(1,2)],3)

[[],[],[]] => ([(0,3),(1,3),(2,3)],4)

[[],[[]]] => ([(0,3),(1,2),(2,3)],4)

[[[]],[]] => ([(0,3),(1,2),(2,3)],4)

[[[],[]]] => ([(0,3),(1,3),(2,3)],4)

[[[[]]]] => ([(0,3),(1,2),(2,3)],4)

[[],[],[],[]] => ([(0,4),(1,4),(2,4),(3,4)],5)

[[],[],[[]]] => ([(0,4),(1,4),(2,3),(3,4)],5)

[[],[[]],[]] => ([(0,4),(1,4),(2,3),(3,4)],5)

[[],[[],[]]] => ([(0,4),(1,4),(2,3),(3,4)],5)

[[],[[[]]]] => ([(0,4),(1,3),(2,3),(2,4)],5)

[[[]],[],[]] => ([(0,4),(1,4),(2,3),(3,4)],5)

[[[]],[[]]] => ([(0,4),(1,3),(2,3),(2,4)],5)

[[[],[]],[]] => ([(0,4),(1,4),(2,3),(3,4)],5)

[[[[]]],[]] => ([(0,4),(1,3),(2,3),(2,4)],5)

[[[],[],[]]] => ([(0,4),(1,4),(2,4),(3,4)],5)

[[[],[[]]]] => ([(0,4),(1,4),(2,3),(3,4)],5)

[[[[]],[]]] => ([(0,4),(1,4),(2,3),(3,4)],5)

[[[[],[]]]] => ([(0,4),(1,4),(2,3),(3,4)],5)

[[[[[]]]]] => ([(0,4),(1,3),(2,3),(2,4)],5)

[[],[],[],[],[]] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6)

[[],[],[],[[]]] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6)

[[],[],[[]],[]] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6)

[[],[],[[],[]]] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6)

[[],[],[[[]]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6)

[[],[[]],[],[]] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6)

[[],[[]],[[]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)

[[],[[],[]],[]] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6)

[[],[[[]]],[]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6)

[[],[[],[],[]]] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6)

[[],[[],[[]]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)

[[],[[[]],[]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)

[[],[[[],[]]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6)

[[],[[[[]]]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)

[[[]],[],[],[]] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6)

[[[]],[],[[]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)

[[[]],[[]],[]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)

[[[]],[[],[]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6)

[[[]],[[[]]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)

[[[],[]],[],[]] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6)

[[[[]]],[],[]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6)

[[[],[]],[[]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6)

[[[[]]],[[]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)

[[[],[],[]],[]] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6)

[[[],[[]]],[]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)

[[[[]],[]],[]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)

[[[[],[]]],[]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6)

[[[[[]]]],[]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)

[[[],[],[],[]]] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6)

[[[],[],[[]]]] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6)

[[[],[[]],[]]] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6)

[[[],[[],[]]]] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6)

[[[],[[[]]]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6)

[[[[]],[],[]]] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6)

[[[[]],[[]]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)

[[[[],[]],[]]] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6)

[[[[[]]],[]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6)

[[[[],[],[]]]] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6)

[[[[],[[]]]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)

[[[[[]],[]]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)

[[[[[],[]]]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6)

[[[[[[]]]]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)

[[],[],[],[],[],[]] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)

[[],[],[],[],[[]]] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)

[[],[],[],[[]],[]] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)

[[],[],[],[[],[]]] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)

[[],[],[],[[[]]]] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)

[[],[],[[]],[],[]] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)

[[],[],[[]],[[]]] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)

[[],[],[[],[]],[]] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)

[[],[],[[[]]],[]] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)

[[],[],[[],[],[]]] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)

[[],[],[[],[[]]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)

[[],[],[[[]],[]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)

[[],[],[[[],[]]]] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)

[[],[],[[[[]]]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)

[[],[[]],[],[],[]] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)

[[],[[]],[],[[]]] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)

[[],[[]],[[]],[]] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)

[[],[[]],[[],[]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)

[[],[[]],[[[]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)

[[],[[],[]],[],[]] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)

[[],[[[]]],[],[]] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)

[[],[[],[]],[[]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)

[[],[[[]]],[[]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)

[[],[[],[],[]],[]] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)

[[],[[],[[]]],[]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)

[[],[[[]],[]],[]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)

[[],[[[],[]]],[]] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)

[[],[[[[]]]],[]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)

[[],[[],[],[],[]]] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)

[[],[[],[],[[]]]] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)

[[],[[],[[]],[]]] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)

[[],[[],[[],[]]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)

[[],[[],[[[]]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)

[[],[[[]],[],[]]] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)

[[],[[[]],[[]]]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)

[[],[[[],[]],[]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)

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Description

Return the undirected graph obtained from the tree nodes and edges.

Properties

graded

Sage code

def mapping(elt):
    return elt.to_undirected_graph()

Weight

Created

Jan 19, 2020 at 07:27 by FindStatCrew

Updated

Jan 19, 2020 at 07:27 by Martin Rubey