109 citations · 289 across the 23 of their papers we have counts for
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math.CO2013★ 13 cited
Divisors on graphs, binomial and monomial ideals, and cellular resolutions
Fatemeh Mohammadi, Farbod Shokrieh
We study various binomial and monomial ideals arising in the theory of divisors, orientations, and matroids on graphs. We use ideas from potential theory on graphs and from the the…
math.CO2013★ 62 cited
Canonical representatives for divisor classes on tropical curves and the Matrix-Tree Theorem
Yang An, Matthew Baker, Greg Kuperberg +1
Let be a compact tropical curve (or metric graph) of genus . Using the theory of tropical theta functions, Mikhalkin and Zharkov proved that there is a canonical effective r…