From the 1 of 3 linked papers with an AI index.
3 papers
math.CO2026
Asymptotic Brill-Noether Existence at the Half-Canonical Degree: Energy Pairing, Cheeger Inequality and Covering Radii
Madhusudan Manjunath
The paper proves asymptotic versions of the Brill‑Noether existence conjecture for graphs at the half‑canonical degree, showing it holds for families such as even‑valence expanders…
math.AC2024
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…
math.AG2024
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…