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A problem in graph theory

  1. Jun 16, 2011 #1
    1. The problem statement, all variables and given/known data

    Let G=A U B be a bipartite graph. For each a in A and for each b in B we have d(a)≥d(b)≥1 where d(v) is the degree of vertex v. Show that there exists a matching which saturates A.

    2. Relevant equations


    3. The attempt at a solution

    I guess I need to use Hall's Theorem, but I don't see how.
     
  2. jcsd
  3. Jun 17, 2011 #2
    Solved it, thanks :)
     
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