A. Jafari

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math.CO2026

Frobenius-Power Ideals and Hyperplane Avoidance for Representable Matroids

Amir Jafari

Let $q = p^{k}$ , where $p$ is prime, and let $M$ be a finite matroid representable over $F_{q}$ . Write $χ_{M} (t)$ for its characteristic polynomial and $\mbox{decop}(M)$ for the le…

math.CO2026

The List Edge-Coloring Conjecture for Two New Infinite Families of Complete Graphs

Amir Jafari

Let $p$ be an odd prime. We prove the List Edge-Coloring Conjecture for two infinite families of complete graphs: \[ χ'_{\ell}(K_{p-1})=p-2, \qquad χ'_{\ell}(K_{2p})=2p-1. \] The t…