123 citations · 125 across the 7 of their papers we have counts for
5 papers · 1 filter
Eventual sign coherence
Amanda Burcroff, Scott Neville
The sign coherence of -vectors is one of the fundamental theorems of cluster algebras with principal coefficients. In 2019, Gekhtman and Nakanishi posed the asymptotic sign cohe…
Mysterious points in keys but not trees
Scott Neville, José Simental
The deep locus of a cluster variety is defined to be the set of its points that do not belong to any cluster torus. We show that, if the cluster variety has a seed whose mutable pa…
Mutation Cycles from Reddening Sequences
Tucker J. Ervin, Scott Neville
Given two quivers, each with a reddening sequence, we show how to construct a plethora of mutation cycles. We give several examples, including a generalization of the construction…
Long mutation cycles
Sergey Fomin, Scott Neville
A mutation cycle is a cycle in a graph whose vertices are labeled by the quivers in a given mutation class and whose edges correspond to single mutations. For any fixed , w…
Kostka Numbers and Longest Increasing Subsequences
Arjun Krishnan, Scott Neville
A classical bijection relates certain Kostka numbers, the Catalan numbers, and permutations of length with longest increasing subsequence (LIS) of length at most We genera…