The many facets of the Estrada indices of graphs and networks
E Estrada - SeMA Journal, 2022 - Springer
The Estrada index of a graph/network is defined as the trace of the adjacency matrix
exponential. It has been extended to other graph-theoretic matrices, such as the Laplacian …
exponential. It has been extended to other graph-theoretic matrices, such as the Laplacian …
Simple model of epidemic dynamics with memory effects
We introduce a compartment model with memory for the dynamics of epidemic spreading in
a constant population of individuals. Each individual is in one of the states S= susceptible, I …
a constant population of individuals. Each individual is in one of the states S= susceptible, I …
Allosteric signal within the receptor-binding domain of the SARS-CoV-2 spike protein mediated by a class 3 monoclonal antibody revealed through molecular …
P Boonserm, W Somsoros, P Khunrae, K Charupanit… - ACS …, 2024 - ACS Publications
This study investigated the allosteric action within the receptor-binding domain (RBD) of the
SARS-CoV-2 spike protein caused by class 3 monoclonal antibody (mAb) binding. As the …
SARS-CoV-2 spike protein caused by class 3 monoclonal antibody (mAb) binding. As the …
Sensitivity of matrix function based network communicability measures: Computational methods and a priori bounds
M Schweitzer - SIAM Journal on Matrix Analysis and Applications, 2023 - SIAM
When analyzing complex networks, an important task is the identification of those nodes
which play a leading role for the overall communicability of the network. In the context of …
which play a leading role for the overall communicability of the network. In the context of …
Conservative vs. non-conservative diusion towards a target in a networked environment
E Estrada - The target problem, 2023 - hal.science
he networked nture of omplex systems determines the wy in whih 9informtion9 nvigtes the
system from soure to trgetF his nvigtion is govE erned y the lk of entrl ontrollers nd the ft tht …
system from soure to trgetF his nvigtion is govE erned y the lk of entrl ontrollers nd the ft tht …
Fractional-Modified Bessel Function of the First Kind of Integer Order
The modified Bessel function (MBF) of the first kind is a fundamental special function in
mathematics with applications in a large number of areas. When the order of this function is …
mathematics with applications in a large number of areas. When the order of this function is …
A Fast Monte Carlo algorithm for evaluating matrix functions with application in complex networks
We propose a novel stochastic algorithm that randomly samples entire rows and columns of
the matrix as a way to approximate an arbitrary matrix function using the power series …
the matrix as a way to approximate an arbitrary matrix function using the power series …
Balance with Memory in Signed Networks via Mittag-Leffler Matrix Functions
Structural balance is an important characteristic of graphs/networks where edges can be
positive or negative, with direct impact on the study of real-world complex systems. When a …
positive or negative, with direct impact on the study of real-world complex systems. When a …
Edge Importance in Complex Networks
S Noschese, L Reichel - arXiv preprint arXiv:2404.16862, 2024 - arxiv.org
Complex networks are made up of vertices and edges. The latter connect the vertices. There
are several ways to measure the importance of the vertices, eg, by counting the number of …
are several ways to measure the importance of the vertices, eg, by counting the number of …
A stochastic method for solving time-fractional differential equations
We present a stochastic method for efficiently computing the solution of time-fractional partial
differential equations (fPDEs) that model anomalous diffusion problems of the subdiffusive …
differential equations (fPDEs) that model anomalous diffusion problems of the subdiffusive …