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math.CO2011★ 3 cited
The rank of a divisor on a finite graph: geometry and computation
Madhusudan Manjunath
We study the problem of computing the rank of a divisor on a finite graph, a quantity that arises in the Riemann-Roch theory on a finite graph developed by Baker and Norine (Advanc…
math.CO2011
The Laplacian lattice of a graph under a simplicial distance function
Madhusudan Manjunath
We provide a complete description of important geometric invariants of the Laplacian lattice of a multigraph under the distance function induced by a regular simplex, namely Vorono…