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+1 vote
166 views

Please explain how perfect matching in given tree is 1?

Why not 3 with edges ab,ce,df?

 

asked in Mathematical Logic by Junior (579 points) 1 8 15 | 166 views
perfect matching is a matching that is used to cover every vertex in a graph and here {ab,ce,df} makes  one perfect match.

2 Answers

+1 vote
I think they asked the number of perfect matching

 

Here edge in Perfect matching is =3

But {ab,ce,df} is the only posiible perfect matching

 

So the number of perfect matching is= 1

Hope this helps
answered by Veteran (20.4k points) 12 77 174
0 votes
There is only one perfect matching possible for this graph which you mentioned in the question itself. {ab, ce, df}. This is the only set which represents perfect matching. Hence answer is 1. If two sets could represent the perfect matching for this graph, answer would be 2. Hope this helps.
answered by (13 points) 1 2

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