arXiv subjects

Benjamin Oltsik

Publications and source records attributed to Benjamin Oltsik.

2 recordsLinked to original sources

arXiv2025

Analytic spread of binomial edge ideals

We investigate the analytic spread of binomial edge ideals of finite simple graphs. We provide tight bounds for this invariant in general. For special families of graphs (e.g., closed graphs, pseudo-forests), we compute the exact value for the analytic spread of the corresponding binomial edge ideals via combinatorial and convex geometric means.

math.AC↗

arXiv2025

Newton Polytopes and Analytic Spread

Using the Newton polytope and polyhedron, we study analytic spread and ideal reductions of monomial ideals. We determine a bound for analytic spread based on halfspaces and hyperplanes of the Newton polytope, and we classify basic monomial ideals. We then apply this method to calculate the analytic spread for a few families of monomial ideals.

math.AC↗