18 citations · 81 across the 20 of their papers we have counts for
27 papers
Universality in the algebra and topology of cographs
Adityo Mamun, Jonathan Nalikka, Eric Ramos
A finite simple graph is called a cograph if it does not contain the path on four vertices as an induced subgraph. It is classically known that the family of cographs are…
Computing stable homology representations of graph configuration spaces
Eric Ramos, Claudia He Yun
Configuration spaces of graphs frequently grow factorially in complexity with the number of particles they parametrize. However, for suitable families of nested graphs …
Universality theorems for generalized splines
Jacob Matherne, Eric Ramos, Julianna Tymoczko
We study generalized splines from the perspective of the representation theory of the category of graphs with contractions. Our main theorem proves a kind of finite generation, whi…
Robertson's conjecture and universal finite generation in the homology of graph braid groups
Ben Knudsen, Eric Ramos
We formulate a categorification of Robertson's conjecture analogous to the categorical graph minor conjecture of Miyata--Proudfood--Ramos. We show that these conjectures imply the…
Excessive symmetry can preclude cutoff
Eric Ramos, Graham White
For each , let denote the Kneser Graph; that whose vertices are labeled by -element subsets of , and whose edges indicate that the corresponding subsets…
Equivariant log concavity and representation stability
Jacob P. Matherne, Dane Miyata, Nicholas Proudfoot +1
We expand upon the notion of equivariant log concavity, and make equivariant log concavity conjectures for Orlik--Solomon algebras of matroids, Cordovil algebras of oriented matroi…