35 citations · 192 across the 25 of their papers we have counts for
25 papers
Explicit construction of the eigenvectors and eigenvalues of the graph Laplacian on the Cayley tree
Ayşe Erzan, Aslı Tuncer
A generalized Fourier analysis on arbitrary graphs calls for a detailed knowledge of the eigenvectors of the graph Laplacian. Using the symmetries of the Cayley tree, we recursivel…
Metanetworks of artificially evolved regulatory networks
Burçin Danacı, Ayşe Erzan
We study metanetworks arising in genotype and phenotype spaces, in the context of a model population of Boolean graphs evolved under selection for short dynamical attractors. We de…
Motif statistics of artificially evolved and biological networks
Burçin Danacı, Mehmet Ali Anıl, Ayşe Erzan
Topological features of gene regulatory networks can be successfully reproduced by a model population evolving under selection for short dynamical attractors. The evolved populatio…
Spectral Renormalization Group for the Gaussian model and theory on non-spatial networks
Aslı Tuncer, Ayşe Erzan
We implement the spectral renormalization group on different deterministic non-spatial networks without translational invariance. We calculate the thermodynamic critical exponents…
Spectral renormalization group theory on networks
Eser Aygun, Ayse Erzan
Discrete amorphous materials are best described in terms of arbitrary networks which can be embedded in three dimensional space. Investigating the thermodynamic equilibrium as well…
Information content based model for the topological properties of the gene regulatory network of Escherichia coli
Berkin Malkoc, Duygu Balcan, Ayse Erzan
Gene regulatory networks (GRN) are being studied with increasingly precise quantitative tools and can provide a testing ground for ideas regarding the emergence and evolution of co…