26 papers · ranked by Valyu relevance
Marc De Bruyère, Christoff Visser, Daphné Tuncer
—The task of determining which network architectures provide the best ratio in terms of operation and management efforts vs. performance guarantees is not trivial. In this paper, we investigate the complexity of operating different types of architectures from the perspective of the space of network parameters that need…
Soumen Majhi, Matjaž Perc, Dibakar Ghosh
Network science has evolved into an indispensable platform for studying complex systems. But recent research has identified limits of classical networks, where links connect pairs of nodes, to comprehensively describe group interactions. Higher-order networks, where a link can connect more than two nodes, have…
Aura Reggiani
This paper highlights the relevance of connectivity and its architecture as a general conceptual framework which underlies and integrates the concepts of network vulnerability, complexity, and resilience. In particular, it will be pointed out that connectivity architecture can be considered an explicit key element for…
Ernesto Estrada, Lucas Lacasa
Real-world networks are neither regular nor random, a fact elegantly explained by mechanisms such as the Watts-Strogatz or the Barabasi-Albert models, among others. Both ´ mechanisms naturally create shortcuts and hubs, which while enhancing network's connectivity, also might yield several undesired navigational…
Blai Vidiella, Salva Duran‐Nebreda, Sergi Valverde
Understanding the origins of complexity is a fundamental challenge with implications for biological and technological systems. Network theory emerges as a powerful tool to model complex systems. Networks are an intuitive framework to represent inter-dependencies among many system components, facilitating the study of…
Khaoula Ait Rai, Mustapha Machkour, Jilali Antari
Researchers have paid a lot of attention to complex networks in recent decades. Due to their rapid evolution, they turn into a major scientific and innovative field. Several studies on complex networks are carried out, and other subjects are evolving every day such as the challenge of detecting influential nodes. In…
Claudia Huaylla, Marcelo N. Kuperman, Lucas A. Garibaldi
Networks are a convenient way to represent many interactions among different entities as they provide an efficient and clear methodology to evaluate and organize relevant data. While there are many features for characterizing networks there is a quantity that seems rather elusive: Complexity. The quantification of the…
Mayank Kejriwal, Ke Shen
In recent years, there has been a growing recognition that higher-order structures are important features in real-world networks. A particular class of structures that has gained prominence is known as a simplicial complex. Despite their application to complex processes such as social contagion and novel measures of…
Federico Riva, Caio Graco-Roza, Gergana N. Daskalova, Emma J. Hudgins + 4 more
'Emma J. Hudgins' 'Jayme M.\xa0M. Lewthwaite' 'Erica A. Newman' 'Masahiro Ryo' 'Stefano Mammola'] Ecological systems are quintessentially complex systems. Understanding and being able to predict phenomena typical of complex systems is, therefore, critical to progress in ecology and conservation amidst escalating global…
Ye Deng, Jun Wu, Matjaz Perc
Complex networks describe a wide range of systems in nature and society. As a fundamental concept of graph theory, the path connecting nodes and edges plays a vital role in network science. Rather than focusing on the path length or path centrality, here we draw attention to the path multiplicity related to…
Daniela Egas Santander, Christoph Pokorny, András Ecker, Jānis Lazovskis + 5 more
'Jānis Lazovskis' 'Matteo Santoro' 'Jason P. Smith' 'Kathryn Hess' 'Ran Levi' 'Michael W. Reimann'] Title: Summary We hypothesized that the heterogeneous architecture of biological neural networks provides a substrate to regulate the well-known tradeoff between robustness and efficiency, thereby allowing different…
Rongmei Yang, Fang Zhou, Bo Liu, Linyuan Lü
a Institute of Fundamental and Frontier Sciences, University of Electronic Science and Technology of China, Chengdu, 610054, P. R. China bSchool of Cyber Science and Technology, University of Science and Technology of China, Hefei, 230026, P. R. China cYangtze Delta Region Institute (Huzhou), University of Electronic…
Zhaohua Guo, Rui Miao, Jin-Li Guo, Yuan Yuan + 1 more
'Jeffrey Yi‐Lin Forrest'] Abstract: A simplex-based network is referred to as a higher-order network, in which describe that the interactions can include more than two nodes. This paper first proposes a competitive evolving model of higher-order networks. We notice the batch effect of low-dim simplices during the…
Àlex Giménez-Romero, Daniel Oro, Jordi Bascompte, Meritxell Genovart
The complexity–stability debate in ecology remains unresolved in part because its empirical basis is limited. Most evidence for the predicted decline of connectance with species richness comes from food webs, leaving unclear whether this pattern extends across the full spectrum of ecological interactions. Moreover…
Authors not listed
Active assembly of matter is a defining trait of living systems, enabling the creation of far-from-equilibrium materials essential for the functionality of life. This is achieved through energy-dissipative, multi-step processes facilitated by various biomolecular agents for chemical and mechanical assembly of matter.…
Fernando A.N. Santos, Prejaas K.B. Tewarie, Pierre Baudot, Antonio Luchicchi + 16 more
Network theory is often based on pairwise relationships between nodes, which is not necessarily realistic for modeling complex systems. Importantly, it does not accurately capture non-pairwise interactions in the human brain, often considered one of the most complex systems. In this work, we develop a multivariate…
Jan Žižka
Software systems are expansive, exhibiting behaviors characteristic of complex systems, such as self-organization and emergence. These systems, highlighted by advancements in Large Language Models (LLMs) and other AI applications developed by entities like DeepMind and OpenAI showcase remarkable properties. Despite…
Matthew Bailey, Mark Wilson
One of the critical tools of persistent homology is the persistence diagram. We demonstrate the applicability of a persistence diagram showing the existence of topological features (here rings in a 2D network) generated over time instead of space as a tool to analyse trajectories of biological networks. We show how the…
Rahul K Verma, Pramod Shinde, Ankit Mishra, Sarika Jalan
Pair-wise co-mutation networks of the mitochondrial genome have already provided ample evidences about the roles of genetic interactions in the manifestation of phenotype under altered environmental conditions. Here, we present a method to construct and analyze higher-order interactions, namely, 3-uniform hypergraphs…
Justina Stark, Christophe Godin
Biological transport networks range from tree-like to highly reticulated architectures, which have been proposed to reflect different balances between viscous dissipation and metabolic cost. This balance cannot currently be inferred from structure: available descriptors either discard edge width entirely or preserve it…
Daniel Barter, Evan Walter Clark Spotte-Smith, Nikita S. Redkar, Shyam Dwaraknath + 2 more
Chemical reaction networks (CRNs) are powerful tools for obtaining mechanistic insight into complex reactive processes. However, they are limited in their applicability where reaction mechanisms are not well understood and products are unknown. Here we report new methods of CRN generation and analysis that overcome…
Benjamin Ries, Richard J Gowers, James RB Eastwood, Irfan Alibay + 4 more
Alchemical free energy campaigns can be planned using graph theory by building up networks that contain nodes representing molecules that are connected by possible transformations as edges. We introduce Konnektor, an open-source Python package, for systematically planning, modifying, and analyzing free energy…
Michael W. Reimann, Daniela Egas-Santander
Neuronal connectivity has been characterized at various scales and with respect to various structural aspects. In models of connectivity, it has so far remained difficult to match all of them at once, in particular the higher-order structure appears to be elusive. Here we introduce a new type of graph model that…
Stuart Oldham, Alex Fornito, Gareth Ball
Generative network models (GNMs) have been proposed to identify the mechanisms/constraints that shape the organisation of the connectome. These models parameterise the formation of inter-regional connections using a trade-off between connection cost and topological complexity or biophysical similarity. Despite their…
Daniel Barter, Evan Walter Clark Spotte-Smith, Nikita S. Redkar, Shyam Dwaraknath + 2 more
Chemical reaction networks (CRNs) are powerful tools for obtaining mechanistic insight into complex reactive processes. However, they are limited in their applicability where reaction mechanisms are unintuitive, and products are unknown. Here we report new methods of CRN generation and analysis that overcome these…
Alexander Smith, Spencer Runde, Alex Chew, Atharva Kelkar + 3 more
Molecular dynamics (MD) simulations are used in diverse scientific and engineering fields such as drug discovery, materials design, separations, biological systems, and reaction engineering. These simulations generate highly complex datasets that capture the 3D spatial positions, dynamics, and interactions of thousands…