14 citations · 47 across the 16 of their papers we have counts for
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Rational Normal Curves, Chip Firing and Free Resolutions
Rahul Karki, Madhusudan Manjunath
We study rational normal curves via a connection to the chip firing game. A key technique, introduced in this article, is to interpret the defining ideal of the rational normal cur…
Commutative Algebra of Generalised Frobenius Numbers
Madhusudan Manjunath, Ben Smith
We study commutative algebra arising from generalised Frobenius numbers. The -th (generalised) Frobenius number of natural numbers is the largest natural numbe…
Minimal Free Resolutions of the -parking Function Ideal and the Toppling Ideal
Madhusudan Manjunath, Frank-Olaf Schreyer, John Wilmes
The -parking function ideal of a directed multigraph is a monomial ideal which encodes some of the combinatorial information of . It is an initial ideal of the topp…
Monomials, Binomials, and Riemann-Roch
Madhusudan Manjunath, Bernd Sturmfels
The Riemann-Roch theorem on a graph G is related to Alexander duality in combinatorial commutive algebra. We study the lattice ideal given by chip firing on G and the initial ideal…