Complex quantum networks: a topical review
These are exciting times for quantum physics as new quantum technologies are expected to
soon transform computing at an unprecedented level. Simultaneously network science is …
soon transform computing at an unprecedented level. Simultaneously network science is …
A history of graph entropy measures
This survey seeks to describe methods for measuring the entropy of graphs and to
demonstrate the wide applicability of entropy measures. Setting the scene with a review of …
demonstrate the wide applicability of entropy measures. Setting the scene with a review of …
Deciphering multi-way interactions in the human genome
Chromatin architecture, a key regulator of gene expression, can be inferred using chromatin
contact data from chromosome conformation capture, or Hi-C. However, classical Hi-C does …
contact data from chromosome conformation capture, or Hi-C. However, classical Hi-C does …
Graph characterizations from von Neumann entropy
In this paper we explore how the von Neumann entropy can be used as a measure of graph
complexity. We also develop a simplified form for the von Neumann entropy of a graph that …
complexity. We also develop a simplified form for the von Neumann entropy of a graph that …
Permutation entropy for graph signals
Entropy metrics (for example, permutation entropy) are nonlinear measures of irregularity in
time series (one-dimensional data). Some of these entropy metrics can be generalised to …
time series (one-dimensional data). Some of these entropy metrics can be generalised to …
SVD entropy reveals the high complexity of ecological networks
Quantifying the complexity of ecological networks has remained elusive. Primarily,
complexity has been defined on the basis of the structural (or behavioural) complexity of the …
complexity has been defined on the basis of the structural (or behavioural) complexity of the …
Characterisation of the idiotypic immune network through persistent entropy
In the present work we intend to investigate how to detect the behaviour of the immune
system reaction to an external stimulus in terms of phase transitions. The immune model …
system reaction to an external stimulus in terms of phase transitions. The immune model …
Tensor entropy for uniform hypergraphs
In this paper, we develop the notion of entropy for uniform hypergraphs via tensor theory. We
employ the probability distribution of the generalized singular values, calculated from the …
employ the probability distribution of the generalized singular values, calculated from the …
Multiscale statistical physics of the pan-viral interactome unravels the systemic nature of SARS-CoV-2 infections
Protein–protein interaction networks have been used to investigate the influence of SARS-
CoV-2 viral proteins on the function of human cells, laying out a deeper understanding of …
CoV-2 viral proteins on the function of human cells, laying out a deeper understanding of …
Principle of relevant information for graph sparsification
Graph sparsification aims to reduce the number of edges of a graph while maintaining its
structural properties. In this paper, we propose the first general and effective information …
structural properties. In this paper, we propose the first general and effective information …