88 citations · 142 across the 7 of their papers we have counts for
8 papers
Minimal Specialization: Coevolution of Network Structure and Dynamics
Annika King, Dallas Smith, Benjamin Webb
The changing topology of a network is driven by the need to maintain or optimize network function. As this function is often related to moving quantities such as traffic, informati…
Spectral and Dynamic Consequences of Network Specialization
Leonid Bunimovich, DJ Passey, Dallas Smith +1
One of the hallmarks of real networks is their ability to perform increasingly complex tasks as their topology evolves. To explain this, it has been observed that as a network grow…
Characterizing cospectral vertices via isospectral reduction
Mark Kempton, John Sinkovic, Dallas Smith +1
Two emerging topics in graph theory are the study of cospectral vertices of a graph, and the study of isospectral reductions of graphs. In this paper, we prove a fundamental relati…
General Equitable Decompositions for Graphs with Symmetries
Amanda Francis, Dallas Smith, Benjamin Webb
Using the theory of equitable decompositions it is possible to decompose a matrix appropriately associated with a given graph. The result is a collection of smaller matrices wh…
Hidden Symmetries in Real and Theoretical Networks
Dallas Smith, Benjamin Webb
Symmetries are ubiquitous in real networks and often characterize network features and functions. Here we present a generalization of network symmetry called \emph{latent symmetry}…
Specialization Models of Network Growth
L. A. Bunimovich, D. C. Smith, B. Z. Webb
One of the most important features observed in real networks is that, as a network's topology evolves so does the network's ability to perform various complex tasks. To explain thi…