748 citations · 839 across the 24 of their papers we have counts for
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math.CO2023★ 1 cited
A matroidal perspective on the tropical Prym variety
Felix Röhrle, Dmitry Zakharov
We associate a matroid to a harmonic double cover of metric graphs. The matroid is a geometric interpretation of Zaslavsk…
math.CO2023
Chip-firing on graphs of groups
Margaret Meyer, Dmitry Zakharov
We define the Laplacian matrix and the Jacobian group of a finite graph of groups. We prove analogues of the matrix tree theorem and the class number formula for the order of the J…
math.CO2023★ 1 cited
The Prym variety of a dilated double cover of metric graphs
Arkabrata Ghosh, Dmitry Zakharov
We calculate the volume of the tropical Prym variety of a harmonic double cover of metric graphs having non-trivial dilation. We show that the tropical Prym variety behaves discont…