4 citations · 6 across the 5 of their papers we have counts for
6 papers
Cluster scattering diagrams and theta functions for reciprocal generalized cluster algebras
Man-Wai Mandy Cheung, Elizabeth Kelley, Gregg Musiker
We give a construction of generalized cluster varieties and generalized cluster scattering diagrams for reciprocal generalized cluster algebras, the latter of which were defined by…
Rooted Clusters for Graph LP Algebras
Esther Banaian, Sunita Chepuri, Elizabeth Kelley +1
LP algebras, introduced by Lam and Pylyavskyy, are a generalization of cluster algebras. These algebras are known to have the Laurent phenomenon, but positivity remains conjectural…
Snake Graphs from Triangulated Orbifolds
Esther Banaian, Elizabeth Kelley
We give an explicit combinatorial formula for the Laurent expansion of any arc or closed curve on an unpunctured triangulated orbifold. We do this by extending the snake graph cons…
Expected Number of Distinct Subsequences in Randomly Generated Binary Strings
Yonah Biers-Ariel, Anant Godbole, Elizabeth Kelley
When considering binary strings, it's natural to wonder how many distinct subsequences might exist in a given string. Given that there is an existing algorithm which provides a str…
The Total Acquisition Number of the Randomly Weighted Path
Anant Godbole, Elizabeth Kelley, Emily Kurtz +2
There exists a significant body of work on determining the acquisition number of various graphs when the vertices of those graphs are each initially assigned a unit weight…
Universal and Near-Universal Cycles of Set Partitions
Zach Higgins, Elizabeth Kelley, Bertilla Sieben +1
We study universal cycles of the set of -partitions of the set and prove that the transition digraph associated with is E…