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math.CO2014
On commutative algebra associated to -labeled subforests of a graph
Gleb Nenashev
For a given graph , we construct an associated commutative algebra, whose dimension is equal to the number of -labeled forests of . We show that the dimension of the -t…
math.CO2014★ 2 cited
A short proof of Kotzig's theorem
Gleb Nenashev
A new shortest proof of Kotzig's Theorem about graphs with unique perfect matching is presented in this paper. It is well known that Kotzig's theorem is a consequence of Yeo's Theo…