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math.CO2007
Algebras associated to acyclic directed graphs
Vladimir Retakh, Robert Lee Wilson
We construct and study a class of algebras associated to generalized layered graphs, i.e. directed graphs with a ranking function on their vertices. Each finite directed acyclic gr…
math.CO2006
Hilbert series of algebras associated to directed graphs
Vladimir Retakh, Shirlei Serconek, Robert Lee Wilson
Few changes. We compute the Hilbert series of some algebras associated to directed graphs and related to factorizations of noncommutative polynomials.