#17004: Adding height() function to Poset
-----------------------------+----------------------------
   Reporter:  jmantysalo     |            Owner:
       Type:  enhancement    |           Status:  new
   Priority:  minor          |        Milestone:  sage-6.4
  Component:  combinatorics  |         Keywords:
  Merged in:                 |          Authors:
  Reviewers:                 |  Report Upstream:  N/A
Work issues:                 |           Branch:
     Commit:                 |     Dependencies:
   Stopgaps:                 |
-----------------------------+----------------------------
 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
 }}}

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Ticket URL: <http://trac.sagemath.org/ticket/17004>
Sage <http://www.sagemath.org>
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