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math.AT2020
On the homology of independence complexes
Marko Berghoff
The independence complex of a graph is the simplicial complex formed by its independent sets. This article introduces a deformation of the simplicial boundary…
math.AT2018
Moduli spaces of colored graphs
Marko Berghoff, Max Mühlbauer
We introduce moduli spaces of colored graphs, defined as spaces of non-degenerate metrics on certain families of edge-colored graphs. Apart from fixing the rank and number of legs…