2 papers
math.CO2024
Higher -Continued Fractions
Amanda Burcroff, Nicholas Ovenhouse, Ralf Schiffler +1
We introduce a -analog of the higher continued fractions introduced by the last three authors in a previous work (together with Gregg Musiker), which are simultaneously a genera…
math.CO2023
Snake Graphs for Graph LP Algebras
Esther Banaian, Sunita Chepuri, Elizabeth Kelley +1
Graph LP algebras are a generalization of cluster algebras introduced by Lam and Pylyavskyy. We provide a combinatorial proof of positivity for certain cluster variables in these a…