TL;DR
This paper introduces cyclically ordered quivers, a structure with cyclic vertex orderings that lead to new mutation invariants, relevant in various applications.
Contribution
It defines cyclically ordered quivers and demonstrates their ability to generate novel mutation invariants for use in diverse fields.
Findings
Cyclically ordered quivers are formally defined.
New mutation invariants are derived from this structure.
Potential applications are identified in multiple areas.
Abstract
A cyclically ordered quiver is a quiver endowed with an additional structure of a cyclic ordering of its vertices. This structure, which naturally arises in many important applications, gives rise to new powerful mutation invariants.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Graph theory and applications · Commutative Algebra and Its Applications