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National and Regional Contests
Iran Contests
Iran MO (2nd Round)
2002 Iran MO (2nd round)
6
6
Part of
2002 Iran MO (2nd round)
Problems
(1)
Prove that the graph G is regular
Source:
10/31/2010
Let
G
G
G
be a simple graph with
100
100
100
edges on
20
20
20
vertices. Suppose that we can choose a pair of disjoint edges in
4050
4050
4050
ways. Prove that
G
G
G
is regular.
combinatorics proposed
combinatorics