14 citations · 47 across the 16 of their papers we have counts for
4 papers · 1 filter
Equations over Polyhedral Semirings
Madhusudan Manjunath
We study the theory of equations in one variable over polyhedral semirings. The article revolves around a notion of solution to a polynomial equation over a polyhedral semiring. Ou…
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…
Tropical Graph Curves
Madhusudan Manjunath
We study tropical line arrangements associated to a three-regular graph that we refer to as \emph{tropical graph curves}. Roughly speaking, the tropical graph curve associated…
Smoothing of Limit Linear Series of Rank One on Saturated Metrized Complexes of Algebraic Curves
Ye Luo, Madhusudan Manjunath
We investigate the smoothing problem of limit linear series of rank one on an enrichment of the notions of nodal curves and metrized complexes called saturated metrized complexes.…