6 citations · 9 across the 6 of their papers we have counts for
7 papers
Higher-order rich clubs and configuration models on general directed hypergraphs
Jason P. Smith, Celia Hacker, Jānis Lazovskis +3
Detecting structure in complex networks, especially those arising from physical systems, is a central problem across the sciences. One approach is via rich club analysis, which ide…
Linear extensions and directed clique counts via modular partitions
Daniela Egas Santander, Matteo Santoro, Jason P. Smith
Counting linear extensions is a fundamental problem in poset theory. It is known to be #P-complete, with polynomial-time formulas available in special cases. In this work, we devel…
Nerve theorems for fixed points of neural networks
Daniela Egas Santander, Stefania Ebli, Alice Patania +4
Nonlinear network dynamics are notoriously difficult to understand. Here we study a class of recurrent neural networks called combinatorial threshold-linear networks (CTLNs) whose…
On the homotopy type of the space of Sullivan diagrams
Felix Jonathan Boes, Daniela Egas Santander
We study the homotopy type of the harmonic compactification of the moduli space of a 2-cobordism S with one outgoing boundary component, or equivalently of the space of Sullivan di…
Derived A-infinity algebras and their homotopies
Joana Cirici, Daniela Egas Santander, Muriel Livernet +1
The notion of a derived A-infinity algebra, considered by Sagave, is a generalization of the classical notion of A-infinity algebra, relevant to the case where one works over a com…
Comparing fat graph models of moduli space
Daniela Egas Santander
Godin introduced the categories of open closed fat graphs and admissible fat graphs as models of the mapping class group of open closed cobordism. We use the…
Comparing combinatorial models of moduli space and their compactifications
Daniela Egas Santander, Alexander Kupers
We compare two combinatorial models for the moduli space of two-dimensional cobordisms: Bödigheimer's radial slit configurations and Godin's admissible fat graphs, producing an exp…