#17004: Adding height() function to Poset
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Reporter: jmantysalo | Owner:
Type: enhancement | Status: new
Priority: minor | Milestone: sage-6.4
Component: combinatorics | Resolution:
Keywords: | Merged in:
Authors: | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
Dependencies: | Stopgaps:
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Description changed by jmantysalo:
Old description:
> Height of a poset is defined as a length of the longest chain. It can be
> done for example like this:
>
> {{{
> def height(P):
> if P.cardinality() == 0:
> return 0
> H=P.hasse_diagram().to_undirected()
> m=0
> for s in H.connected_components():
> m=max(H.subgraph(s).diameter(),m)
> return m+1
> }}}
>
> or as a length of level_sets or...
New description:
Height of a poset is defined as a length of the longest chain:
{{{
def height(P):
return max([len(x) for x in P.maximal_chains()])
}}}
but there is probably some faster way?
--
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Ticket URL: <http://trac.sagemath.org/ticket/17004#comment:2>
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