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math.CO2015
The Hopf Algebra of graph invariants
Nicolas Borie
We propose an algebraic study of the simple graph isomorphism problem. We define a Hopf algebra from an explicit realization of its elements as formal power series. We show that th…
math.CO2015★ 3 cited
Effective Invariant Theory of Permutation Groups using Representation Theory
Nicolas Borie
Using the theory of representations of the symmetric group, we propose an algorithm to compute the invariant ring of a permutation group. Our approach have the goal to reduce the a…