7 citations · 13 across the 3 of their papers we have counts for
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math.CO2008★ 2 cited
Algebraic properties of edge ideals via combinatorial topology
Anton Dochtermann, Alexander Engstrom
We apply some basic notions from combinatorial topology to establish various algebraic properties of edge ideals of graphs and more general Stanley-Reisner rings. In this way we pr…
math.CO2007★ 4 cited
Homotopy groups of Hom complexes of graphs
Anton Dochtermann
The notion of -homotopy from \cite{DocHom} is investigated in the context of the category of pointed graphs. The main result is a long exact sequence that relates the highe…
math.CO2007★ 7 cited
The universality of Hom complexes
Anton Dochtermann
It is shown that if T is a connected nontrivial graph and X is an arbitrary finite simplicial complex, then there is a graph G such that the complex Hom(T,G) is homotopy equivalent…