Identifier
Values
[[1],[2]] => ([],1) => ([],1) => 0
[[1,1],[2]] => ([],1) => ([],1) => 0
[[1],[2],[3]] => ([],1) => ([],1) => 0
[[1,1,1],[2]] => ([],1) => ([],1) => 0
[[1,1],[2,2]] => ([],1) => ([],1) => 0
[[1,1],[2],[3]] => ([],1) => ([],1) => 0
[[1,1,1,1],[2]] => ([],1) => ([],1) => 0
[[1,1,1],[2,2]] => ([],1) => ([],1) => 0
[[1],[2],[3],[4]] => ([],1) => ([],1) => 0
[[1,1,1],[2],[3]] => ([],1) => ([],1) => 0
[[1,1],[2,2],[3]] => ([],1) => ([],1) => 0
[[1,1,1,1,1],[2]] => ([],1) => ([],1) => 0
[[1,1,1,1],[2,2]] => ([],1) => ([],1) => 0
[[1,1,1],[2,2,2]] => ([],1) => ([],1) => 0
[[1,1],[2],[3],[4]] => ([],1) => ([],1) => 0
[[1,1,1,1],[2],[3]] => ([],1) => ([],1) => 0
[[1,1,1],[2,2],[3]] => ([],1) => ([],1) => 0
[[1,1],[2,2],[3,3]] => ([],1) => ([],1) => 0
[[1,1,1,1,1,1],[2]] => ([],1) => ([],1) => 0
[[1,1,1,1,1],[2,2]] => ([],1) => ([],1) => 0
[[1,1,1,1],[2,2,2]] => ([],1) => ([],1) => 0
[[1],[2],[3],[4],[5]] => ([],1) => ([],1) => 0
[[1,1,1],[2],[3],[4]] => ([],1) => ([],1) => 0
[[1,1],[2,2],[3],[4]] => ([],1) => ([],1) => 0
[[1,1,1,1,1],[2],[3]] => ([],1) => ([],1) => 0
[[1,1,1,1],[2,2],[3]] => ([],1) => ([],1) => 0
[[1,1,1],[2,2,2],[3]] => ([],1) => ([],1) => 0
[[1,1,1],[2,2],[3,3]] => ([],1) => ([],1) => 0
[[1,1,1,1,1,1,1],[2]] => ([],1) => ([],1) => 0
[[1,1,1,1,1,1],[2,2]] => ([],1) => ([],1) => 0
[[1,1,1,1,1],[2,2,2]] => ([],1) => ([],1) => 0
[[1,1,1,1],[2,2,2,2]] => ([],1) => ([],1) => 0
[[1]] => ([],1) => ([],1) => 0
[[1,1,1,1],[2,2,2],[3,3],[4]] => ([],1) => ([],1) => 0
[[1,1,1,1,1],[2,2,2,2],[3,3,3],[4,4],[5]] => ([],1) => ([],1) => 0
[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,3],[4,4,4],[5,5],[6]] => ([],1) => ([],1) => 0
[[1,1]] => ([],1) => ([],1) => 0
[[1,1,1]] => ([],1) => ([],1) => 0
[[1,1,1,1]] => ([],1) => ([],1) => 0
[[1,1,1,1,1]] => ([],1) => ([],1) => 0
[[1],[2],[3],[4],[5],[6]] => ([],1) => ([],1) => 0
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Description
The hyper-Wiener index of a connected graph.
This is
$$ \sum_{\{u,v\}\subseteq V} d(u,v)+d(u,v)^2. $$
This is
$$ \sum_{\{u,v\}\subseteq V} d(u,v)+d(u,v)^2. $$
Map
subcrystal
Description
The underlying poset of the subcrystal obtained by applying the raising operators to a semistandard tableau.
Map
incomparability graph
Description
The incomparability graph of a poset.
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