48 citations · 121 across the 8 of their papers we have counts for
8 papers
Complexity reduction by symmetry: uncovering the minimal regulatory network for logical computation in bacteria
Luis A. Álvarez-García, Wolfram Liebermeister, Ian Leifer +1
Symmetry principles play an important role in geometry, and physics, allowing for the reduction of complicated systems to simpler, more comprehensible models that preserve the syst…
Quasifibrations of Graphs to Find Symmetries in Biological Networks
Paolo Boldi, Ian Leifer, Hernán A. Makse
A fibration of graphs is an homomorphism that is a local isomorphism of in-neighbourhoods, much in the same way a covering projection is a local isomorphism of neighbourhoods. Rece…
Symmetry-driven network reconstruction through pseudobalanced coloring optimization
Ian Leifer, David Phillips, Francesco Sorrentino +1
Symmetries found through automorphisms or graph fibrations provide important insights in network analysis. Symmetries identify clusters of robust synchronization in the network whi…
Matryoshka and Disjoint Cluster Synchronization of Networks
Amirhossein Nazerian, Shirin Panahi, Ian Leifer +3
The main motivation for this paper is to present a definition of network synchronizability for the case of cluster synchronization (CS), in an analogous fashion to Barahona and Pec…
Fast algorithm to identify cluster synchrony through fibration symmetries in large information-processing networks
Higor S. Monteiro, Ian Leifer, Saulo D. S. Reis +2
Recent studies revealed an important interplay between the detailed structure of fibration symmetric circuits and the functionality of biological and non-biological networks within…
Predicting synchronized gene coexpression patterns from fibration symmetries in gene regulatory networks in bacteria
Ian Leifer, Mishael Sánchez-Pérez, Cecilia Ishida +1
Background: Gene regulatory networks coordinate the expression of genes across physiological states and ensure a synchronized expression of genes in cellular subsystems, critical f…
Circuits with broken fibration symmetries perform core logic computations in biological networks
Ian Leifer, Flaviano Morone, Saulo D. S. Reis +3
We show that logic computational circuits in gene regulatory networks arise from a fibration symmetry breaking in the network structure. From this idea we implement a constructive…
Fibration symmetries uncover the building blocks of biological networks
Flaviano Morone, Ian Leifer, Hernan A. Makse
A major ambition of systems science is to uncover the building blocks of any biological network to decipher how cellular function emerges from their interactions. Here, we introduc…