Syzygies on Tutte polynomials of freedom matroids
Joseph Kung
TL;DR
This paper identifies a generating set for linear relations among Tutte polynomials specific to rank-$r$ size-$n$ freedom matroids, advancing the understanding of their algebraic structure.
Contribution
It introduces a new generating set for linear relations on Tutte polynomials of freedom matroids, providing a foundational algebraic framework.
Findings
Established a generating set for linear relations
Enhanced understanding of Tutte polynomial algebraic structure
Facilitated future research on matroid invariants
Abstract
We give a generating set for linear relations on Tutte polynomials of rank- size- freedom matroids.
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Taxonomy
TopicsAdvanced Combinatorial Mathematics · Mathematical Dynamics and Fractals · Advanced Topics in Algebra