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math.CO2019★ 1 cited
Brill-Noether Existence on Graphs via -Divisors, Polytopes and Lattices
Madhusudan Manjunath
We study Brill-Noether existence on a finite graph using methods from polyhedral geometry and lattices. We start by formulating analogues of the Brill-Noether conjectures (both the…
math.AG2019
Tutte Short Exact Sequences of Graphs
Madhusudan Manjunath
We associate two modules, the -parking critical module and the toppling critical module, to an undirected connected graph . The -parking critical module and the toppling c…