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Mar 24, 2012 at 23:52 comment added Aaron Meyerowitz OK so I suppose a path of 5 vertices directed away from an end vertex has degrees 1,1,1,1,0 (counting number of children) but directed from an internal vertex 2,1,1,0,0. If that is correct then sequence of outdegrees would have been clearer to me.
Mar 24, 2012 at 21:04 vote accept marc
Mar 24, 2012 at 21:04 history edited marc CC BY-SA 3.0
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Mar 19, 2012 at 20:37 answer added Ira Gessel timeline score: 1
Mar 19, 2012 at 15:02 comment added GH from MO @marc: Please define precisely the notion of ordered tree and ordered degree sequence (as I don't understand it) or give a reference to it. Thanks.
Mar 19, 2012 at 7:11 comment added Vladimir Dotsenko the question is not clear at all. could you please give an example of a degree sequence, and preferably (following Aaron's comment) of a case when the degree sequence does not define a unique tree?
Mar 19, 2012 at 6:03 comment added Aaron Meyerowitz so would degree sequence 2,1,3,4,5,1,1,1,1,1,1,1 mean the root has two children, the one on the left is a leaf and the one on the right has two children , one with 3 leaves on it and one with 4? That would uniquely specify the tree so it must not be that. Can you give an example?
Mar 19, 2012 at 4:57 history edited marc CC BY-SA 3.0
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Mar 19, 2012 at 4:36 answer added GH from MO timeline score: 0
Mar 19, 2012 at 4:11 history edited marc CC BY-SA 3.0
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Mar 19, 2012 at 4:10 comment added marc @Gerhard Paseman sorry for the unclear specification: The degree sequence is ordered as well
Mar 19, 2012 at 3:35 comment added Gerhard Paseman And how is the degree sequence given? is it ordered as well? Or is it just a multiset? Gerhard "Ask Me About System Design" Paseman, 2012.03.18
Mar 19, 2012 at 2:25 history edited marc CC BY-SA 3.0
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Mar 19, 2012 at 1:24 comment added marc @Gerhard Paseman An ordered tree is a rooted tree in which the order of the subtrees is significant.
Mar 19, 2012 at 1:22 comment added Gerhard Paseman Ordered in what sense? Gerhard "Ask Me About System Design" Paseman, 2012.03.18
Mar 19, 2012 at 0:23 history asked marc CC BY-SA 3.0