11 citations · 37 across the 11 of their papers we have counts for
3 papers · 1 filter
Snake graphs and their characteristic polynomials
James P. Bradshaw, Philipp Lampe, Dusan Ziga
The aim of the article is to understand the combinatorics of snake graphs by means of linear algebra. In particular, we apply Kasteleyn's and Temperley--Fisher's ideas about spectr…
Exchange graphs for mutation-finite non-integer quivers of rank 3
Anna Felikson, Philipp Lampe
Skew-symmetric non-integer matrices with real entries can be viewed as quivers with non-integer weights of arrows. One can mutate such quivers according to usual rules of quiver mu…
Cluster algebras and discrete integrability
Andrew N. W. Hone, Philipp Lampe, Theodoros E. Kouloukas
Cluster algebras are a class of commutative algebras whose generators are defined by a recursive process called mutation. We give a brief introduction to cluster algebras, and expl…