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Graphs with diverse structural characteristics play a central role in modelling and optimization tasks. The ability to generate different types of graphs that exhibit shared properties is likewise essential for algorithm selection and…

Neural and Evolutionary Computing · Computer Science 2026-03-31 Hendrik Richter , Frank Neumann

The Moran process on graphs is a popular model to study the dynamics of evolution in a spatially structured population. Exact analytical solutions for the fixation probability and time of a new mutant have been found for only a few classes…

Populations and Evolution · Quantitative Biology 2016-11-14 Laura Hindersin , Marius Möller , Arne Traulsen , Benedikt Bauer

The format of graphing algorithms for genomic data has been a debate in recent biotechnology. In this paper, we discuss the construction of population graphs using said genomic data. We first examine the GENPOFAD distance measurement,…

Quantitative Methods · Quantitative Biology 2025-08-15 Kimberly Ayers , Maxwell Kooiker

Darwinian evolution can be illustrated as an uphill walk in a landscape, where the surface consists of genotypes, the height coordinates represent fitness, and each step corresponds to a point mutation. Epistasis, roughly defined as the…

Quantitative Methods · Quantitative Biology 2013-05-08 Kristina Crona

A stable population network is hard to interrupt without any ecological consequences. A communication blockage between patches may destabilize the populations in the ecological network. This work deals with the construction of a safe cut…

Dynamical Systems · Mathematics 2018-04-25 Dinesh Kumar , Jatin Gupta , Soumyendu Raha

Community structure is a typical property of many real-world networks, and has become a key to understand the dynamics of the networked systems. In these networks most nodes apparently lie in a community while there often exists a few nodes…

Social and Information Networks · Computer Science 2017-12-07 Zhan Weihua , Chen Huahui , Guan Jihong , Jin Guang

Environmental changes greatly influence the evolution of populations. Here, we study the dynamics of a population of two strains, one growing slightly faster than the other, competing for resources in a time-varying binary environment…

Populations and Evolution · Quantitative Biology 2020-07-28 Ami Taitelbaum , Robert West , Michael Assaf , Mauro Mobilia

We study spreading processes in temporal graphs, i. e., graphs whose connections change over time. These processes naturally model real-world phenomena such as infectious diseases or information flows. More precisely, we investigate how…

Data Structures and Algorithms · Computer Science 2021-07-21 Hendrik Molter , Malte Renken , Philipp Zschoche

Humans communicate, receive, and store information using sequences of items -- from words in a sentence or notes in music to abstract concepts in lectures and books. The networks formed by these items (nodes) and the sequential transitions…

Physics and Society · Physics 2022-06-08 Christopher W. Lynn , Danielle S. Bassett

A major aim of evolutionary biology is to explain the respective roles of adaptive versus non-adaptive changes in the evolution of complexity. While selection is certainly responsible for the spread and maintenance of complex phenotypes,…

Populations and Evolution · Quantitative Biology 2017-01-17 Thomas LaBar , Christoph Adami

The study of time-varying (dynamic) networks (graphs) is of fundamental importance for computer network analytics. Several methods have been proposed to detect the effect of significant structural changes in a time series of graphs. The…

Social and Information Networks · Computer Science 2017-07-25 Peter Wills , Francois G. Meyer

Large-scale perturbations in the microbiome constitution are strongly correlated, whether as a driver or a consequence, with the health and functioning of human physiology. However, understanding the difference in the microbiome profiles of…

Quantitative Methods · Quantitative Biology 2022-09-08 Kateryna Melnyk , Kuba Weimann , Tim O. F. Conrad

Gene interaction graphs aim to capture various relationships between genes and can represent decades of biology research. When trying to make predictions from genomic data, those graphs could be used to overcome the curse of dimensionality…

Gene interaction graphs aim to capture various relationships between genes and represent decades of biology research. When trying to make predictions from genomic data, those graphs could be used to overcome the curse of dimensionality by…

In this paper we consider a population process evolving on a dynamic random graph. The dynamic random graph is an Erd\H{o}s--R\'enyi graph that is resampled every time unit, independently of the previous ones, with `edge existence…

Probability · Mathematics 2026-03-06 Peter Braunsteins , Michel Mandjes , Florian Montalescot

Many different classification tasks need to manage structured data, which are usually modeled as graphs. Moreover, these graphs can be dynamic, meaning that the vertices/edges of each graph may change during time. Our goal is to jointly…

Machine Learning · Computer Science 2019-08-20 Franco Manessi , Alessandro Rozza , Mario Manzo

Evolutionary branching is analysed in a stochastic, individual-based population model under mutation and selection. In such models, the common assumption is that individual reproduction and life career are characterised by values of a…

Populations and Evolution · Quantitative Biology 2025-10-01 S. Sagitov , B. Mehlig , P. Jagers , V. Vatutin

We provide a novel approach to construct generative models for graphs. Instead of using the traditional probabilistic models or deep generative models, we propose to instead find an algorithm that generates the data. We achieve this using…

Machine Learning · Computer Science 2023-04-26 Mihai Babiac , Karolis Martinkus , Roger Wattenhofer

This paper describes work carried out on a model for the evolution of graph classes in complex objects. By defining evolution rules and propagation strategies on graph classes, we aim to define a user-definable means to manage data…

Software Engineering · Computer Science 2018-02-23 Mourad Oussalah

We examine the feasibility of predicting and subsequently managing the future evolution of a Complex Adaptive System. Our archetypal system mimics a competitive population of mechanical, biological, informational or human objects. We show…

Disordered Systems and Neural Networks · Physics 2007-05-23 David M. D. Smith , Neil F. Johnson
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