326 citations · 1.4k across the 33 of their papers we have counts for
33 papers
Constructing Cospectral Vertices Through Orbits of Subgraphs
Onur Ege Erden, Fatihcan M. Atay
A constructive method is given for obtaining cospectral vertices in undirected graphs, along with an operation that preserves this construction. We prove that the construction yiel…
On the duality between consensus problems and Markov processes, with application to delay systems
Fatihcan M. Atay
We consider consensus of multi-agent systems as a dual problem to Markov processes. Based on an exchange of relevant notions and results between the two fields, we present a unifor…
Symmetry Analysis of Coupled Scalar Systems under Time Delay
Fatihcan M. Atay, Haibo Ruan
We study systems of coupled units in a general network configuration with a coupling delay. We show that the destabilizing bifurcations from an equilibrium are governed by the extr…
Graph entropy, degree assortativity, and hierarchical structures in networks
Fatihcan M. Atay, Türker Bıyıkoğlu
We connect several notions relating the structural and dynamical properties of a graph. Among them are the topological entropy coming from the vertex shift, which is related to the…
Analytic relationship of relative synchronizability to network structure and motifs
Joseph T. Lizier, Frank Bauer, Fatihcan M. Atay +1
Synchronization phenomena on networks have attracted much attention in studies of neural, social, economic, and biological systems, yet we still lack a systematic understanding of…
Deriving pairwise transfer entropy from network structure and motifs
Leonardo Novelli, Fatihcan M. Atay, Jürgen Jost +1
Transfer entropy is an established method for quantifying directed statistical dependencies in neuroimaging and complex systems datasets. The pairwise (or bivariate) transfer entro…