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math.AC2012★ 9 cited
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…
math.AC2012★ 2 cited
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…