5 papers · 1 filter
Isospectral Reductions of Non-negative Matrices
Alexandre Baraviera, Pedro Duarte, Longmei Shu +1
Isospectral reduction is an important tool for network/matrix analysis as it reduces the dimension of a matrix/network while preserving its eigenvalues and eigenvectors. The main c…
Local Immunodeficiency: Role of Neutral Viruses
Leonid Bunimovich, Longmei Shu
This paper analyzes the role of neutral viruses in the phenomenon of local immunodeficiency. We show that, even in the absence of altruistic viruses, neutral viruses can support th…
Local Immunodeficiency: Minimal Networks and Stability
Leonid Bunimovich, Longmei Shu
Some basic aspects of the recently discovered phenomenon of local immunodeficiency \cite{pnas} generated by antigenic cooperation in cross-immunoreactivity (CR) networks are invest…
On Attractors of Isospectral Compressions of Networks
Leonid Bunimovich, Longmei Shu
In the recently developed theory of isospectral transformations of networks isospectral compressions are performed with respect to some chosen characteristic (attribute) of nodes (…
Generalized Eigenvectors of Isospectral Transformations,Spectral Equivalence and Reconstruction of Original Networks
Leonid Bunimovich, Longmei Shu
Isospectral transformations (IT) of matrices and networks allow for compression of either object while keeping all the information about their eigenvalues and eigenvectors.We analy…