Identifier
Values
0 => 0 => 1 => ([(0,1)],2) => 1
1 => 1 => 0 => ([(0,1)],2) => 1
00 => 00 => 10 => ([(0,1),(0,2),(1,3),(2,3)],4) => 4
01 => 10 => 00 => ([(0,2),(2,1)],3) => 2
10 => 01 => 11 => ([(0,2),(2,1)],3) => 2
11 => 11 => 01 => ([(0,1),(0,2),(1,3),(2,3)],4) => 4
001 => 100 => 000 => ([(0,3),(2,1),(3,2)],4) => 3
110 => 011 => 111 => ([(0,3),(2,1),(3,2)],4) => 3
0001 => 1000 => 0000 => ([(0,4),(2,3),(3,1),(4,2)],5) => 4
1110 => 0111 => 1111 => ([(0,4),(2,3),(3,1),(4,2)],5) => 4
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Description
The number of cover relations in a poset.
Equivalently, this is also the number of edges in the Hasse diagram [1].
Map
reverse
Description
Return the reversal of a binary word.
Map
poset of factors
Description
The poset of factors of a binary word.
This is the partial order on the set of distinct factors of a binary word, such that $u < v$ if and only if $u$ is a factor of $v$.
Map
twist
Description
Return the binary word with first letter inverted.