20 citations · 73 across the 33 of their papers we have counts for
37 papers
Higher dimensional digraphs from cube complexes and their spectral theory
Nadia S. Larsen, Alina Vdovina
We define -dimensional digraphs and initiate a study of their spectral theory. The -dimensional digraphs can be viewed as generating graphs for small categories called -gr…
Parameterized (Modular) Counting and Cayley Graph Expanders
Norbert Peyerimhoff, Marc Roth, Johannes Schmitt +2
We study the problem of counting -edge subgraphs satisfying a given graph property in a large host graph . Building upon the breakthrough result o…
A generalization of higher rank graphs
M. V. Lawson, A. Vdovina
We introduce what we call `generalized higher rank -graphs' as a class of categories equipped with a notion of size. They extend not only the higher rank -graphs, but also th…
C*-algebras of higher-rank graphs from groups acting on buildings, and explicit computation of their K-theory
Sam A. Mutter, Aura-Cristiana Radu, Alina Vdovina
We unite elements of category theory, K-theory, and geometric group theory, by defining a class of groups called -cube groups, which act freely and transitively on the product o…
Higher dimensional generalizations of the Thompson groups via higher rank graphs
Mark V Lawson, Aidan Sims, Alina Vdovina
We construct a family of groups from suitable higher rank graphs which are analogues of the finite symmetric groups. We introduce homological invariants showing that many of our gr…
Drinfeld-Manin solutions of the Yang-Baxter equation coming from cube complexes
Alina Vdovina
The most common geometric interpretation of the Yang-Baxter equation is by braids, knots and relevant Reidemeister moves. So far, cubes were used for connections with the third Rei…