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We give exact relations for certain types of the hierarchic fractal structures. In the blatant distinction from regular networks of the "small world" (SW) topology [1], regular fractal networks manifests the logarithmic dependence of the…

无序系统与神经网络 · 物理学 2007-05-23 Gregory Surdutovich , Vladimir Gol'dshtein , Gennady Koganov

Rooted phylogenetic networks allow biologists to represent evolutionary relationships between present-day species by revealing ancestral speciation and hybridization events. A convenient and well-studied class of such networks are…

种群与进化 · 定量生物学 2026-02-02 Qiang Zhang , Mike Steel

Understanding the evolution of a set of genes or species is a fundamental problem in evolutionary biology. The problem we study here takes as input a set of trees describing {possibly discordant} evolutionary scenarios for a given set of…

数据结构与算法 · 计算机科学 2019-07-10 Cedric Chauve , Mark Jones , Manuel Lafond , Céline Scornavacca , Mathias Weller

The evolutionary processes of complex systems contain critical information regarding their functional characteristics. The generation time of edges provides insights into the historical evolution of various networked complex systems, such…

人工智能 · 计算机科学 2025-01-14 En Xu , Can Rong , Jingtao Ding , Yong Li

Phylogenetics is the study of the evolutionary relationships between organisms. One of the main challenges in the field is to take biological data for a group of organisms and to infer an evolutionary tree, a graph that represents these…

种群与进化 · 定量生物学 2019-06-05 Elizabeth Gross , Colby Long , Joseph Rusinko

In order to conduct a statistical analysis on a given set of phylogenetic gene trees, we often use a distance measure between two trees. In a statistical distance-based method to analyze discordance between gene trees, it is a key to decide…

种群与进化 · 定量生物学 2016-02-05 Jing Xi , Jin Xie , Ruriko Yoshida

The generation of trees with a specified tree edit distance has significant applications across various fields, including computational biology, structured data analysis, and image processing. Recently, generative networks have been…

机器学习 · 计算机科学 2026-02-04 Mamoona Ghafoor , Tatsuya Akutsu

Good representations for phylogenetic trees and networks are important for optimizing storage efficiency and implementation of scalable methods for the inference and analysis of evolutionary trees for genes, genomes and species. We…

种群与进化 · 定量生物学 2024-05-14 Cedric Chauve , Caroline Colijn , Louxin Zhang

Reconciling a gene tree with a species tree is an important task that reveals much about the evolution of genes, genomes, and species, as well as about the molecular function of genes. A wide array of computational tools have been devised…

种群与进化 · 定量生物学 2012-12-11 Yun Yu , Luay Nakhleh

Phylogenetic networks are used to represent the evolutionary history of species. They are versatile when compared to traditional phylogenetic trees, as they capture more complex evolutionary events such as hybridization and horizontal gene…

Numerous concise models such as preferential attachment have been put forward to reveal the evolution mechanisms of real-world networks, which show that real-world networks are usually jointly driven by a hybrid mechanism of multiplex…

物理与社会 · 物理学 2016-01-12 Qian-Ming Zhang , Xiao-Ke Xu , Yu-Xiao Zhu , Tao Zhou

We study the evolution of the network properties of a populated network embedded in a genotype space characterised by either a low or a high number of potential links, with particular emphasis on the connectivity and clustering. Evolution…

统计力学 · 物理学 2007-05-23 Paul Anderson , Henrik Jeldtoft Jensen

When estimating a phylogeny from a multiple sequence alignment, researchers often assume the absence of recombination. However, if recombination is present, then tree estimation and all downstream analyses will be impacted, because…

统计方法学 · 统计学 2014-10-08 Peter B. Chi , Sujay Chattopadhyay , Philippe Lemey , Evgeni V. Sokurenko , Vladimir N. Minin

In phylogenetics, phylogenetic trees are rooted binary trees, whereas phylogenetic networks are rooted arbitrary acyclic digraphs. Edges are directed away from the root and leaves are uniquely labeled with taxa in phylogenetic networks. For…

种群与进化 · 定量生物学 2016-03-30 Andreas DM Gunawan , Bhaskar DasGupta , Louxin Zhang

Tree-child networks, one of the prominent network classes in phylogenetics, have been introduced for the purpose of modeling reticulate evolution. Recently, the first author together with Gittenberger and Mansouri (2019) showed that the…

组合数学 · 数学 2022-03-22 Michael Fuchs , En-Yu Huang , Guan-Ru Yu

Gene tree/species tree reconciliation is a recent decisive progress in phylo-genetic methods, accounting for the possible differences between gene histories and species histories. Reconciliation consists in explaining these differences by…

定量方法 · 定量生物学 2017-10-05 Damir Hasic , Eric Tannier

Phylogenetic networks provide a way to describe and visualize evolutionary histories that have undergone so-called reticulate evolutionary events such as recombination, hybridization or horizontal gene transfer. The level k of a network…

种群与进化 · 定量生物学 2008-07-21 Leo van Iersel , Steven Kelk , Matthias Mnich

Phylogenetic networks are an extension of phylogenetic trees which are used to represent evolutionary histories in which reticulation events (such as recombination and hybridization) have occurred. A central question for such networks is…

种群与进化 · 定量生物学 2018-03-28 Andrew Francis , Vincent Moulton

Many real-world complex networks arise as a result of a competition between growth and rewiring processes. Usually the initial part of the evolution is dominated by growth while the later one rather by rewiring. The initial growth allows…

统计力学 · 物理学 2020-10-07 Zdzislaw Burda , Michalina Kotwica , Krzysztof Malarz

Dendrograms are a way to represent evolutionary relationships between organisms. Nowadays, these are inferred based on the comparison of genes or protein sequences by taking into account their differences and similarities. The genetic…