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Occupation Ideals and Parikh Images in Markov Support Dynamics

math.CO · 2026-06-19 · unverdicted · novelty 6.0

Defines occupation ideals from Parikh monomials of trajectories in directed support graphs of Markov chains to encode distinct occupation patterns and separate reachability, trajectory, and occupation-pattern growth.

On the Linearity of Squarefree Powers of Edge Ideals

math.AC · 2026-07-01 · unverdicted · novelty 5.0

Combinatorial characterization of when squarefree powers of edge ideals are linearly related, plus Betti table shape and linear resolution conditions for Stanley-Reisner ideals of 1-dimensional flag complexes.

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  • Occupation Ideals and Parikh Images in Markov Support Dynamics math.CO · 2026-06-19 · unverdicted · none · ref 7

    Defines occupation ideals from Parikh monomials of trajectories in directed support graphs of Markov chains to encode distinct occupation patterns and separate reachability, trajectory, and occupation-pattern growth.

  • On the Linearity of Squarefree Powers of Edge Ideals math.AC · 2026-07-01 · unverdicted · none · ref 11

    Combinatorial characterization of when squarefree powers of edge ideals are linearly related, plus Betti table shape and linear resolution conditions for Stanley-Reisner ideals of 1-dimensional flag complexes.