Results 41 to 50 of about 16,346,212 (324)

Geographical variation in the heterogeneity of mutualistic networks [PDF]

Royal Society Open Science, 2016
Plant–animal mutualistic networks are characterized by highly heterogeneous degree distributions. The majority of species interact with few partner species, while a small number are highly connected to form network hubs that are proposed to play an ...
Shoko Sakai, Soeren Metelmann, Yukihiko Toquenaga, Arndt Telschow   +3 more
doaj   +1 more source

Modelling and Simulation of the Formation of Social Networks

Social Sciences, 2017
Social networking has been a feature of human society. From the early hunter-gatherer tribes, medieval guilds, the twentieth century workplaces, up to online entities like Facebook and Twitter, it is difficult to think of a time or place where all people
Song Chew, Erica Metheney, Thomas Teague
doaj   +1 more source

Entropy Optimization of Scale-Free Networks Robustness to Random Failures [PDF]

, 2005
Many networks are characterized by highly heterogeneous distributions of links, which are called scale-free networks and the degree distributions follow $p(k)\sim ck^{-\alpha}$.
Albert, Albert, Albert, Bing Wang, Cancho, Chonghui Guo, Cohen, Cohen, Crucitti, Dorogovtsev, Gallos, Holme, Huanwen Tang, Jeong, Jeong, Magoni, Newman, Park, Paul, Solé, Tanizawa, Valente, Zhilong Xiu, Zhou   +23 more
core   +1 more source

Searching for Heavy-Tailed Probability Distributions for Modeling Real-World Complex Networks

IEEE Access, 2022
Perhaps the most recent controversial topic in network science research is to determine whether real-world complex networks are scale-free or not. Recently, Broido and Clauset [A.D. Broido, A. Clauset, Nature Communication, 10, 1017 (2019)] asserted that
Tanujit Chakraborty, Swarup Chattopadhyay, Suchismita Das, Uttam Kumar, J. Senthilnath   +4 more
doaj   +1 more source

Growing Networks: Limit in-degree distribution for arbitrary out-degree one

, 2007
We compute the stationary in-degree probability, $P_{in}(k)$, for a growing network model with directed edges and arbitrary out-degree probability. In particular, under preferential linking, we find that if the nodes have a light tail (finite variance ...
Albert, Albert, Barabási, D. Fraiman, Dorogovtsev, Dorogovtsev, Jeong, Krapivsky, Krapivsky, Newman, Price, Redner, Soler, Tadić   +13 more
core   +2 more sources

Building a network with assortative mixing starting from preference functions, with application to the spread of epidemics

Frontiers in Physics
Compartmental models of disease spread have been well studied on networks built according to the Configuration Model, i.e., where the degree distribution of individual nodes is specified, but where connections are made randomly.
Razvan G. Romanescu, Razvan G. Romanescu
doaj   +1 more source

Asymptotic Distribution of Degree-Based Topological Indices

Match - Communications in Mathematical and in Computer Chemistry, 2023
Topological indices play a significant role in mathematical chemistry. Given a graph $\mathcal{G}$ with vertex set $\mathcal{V}=\{1,2,\dots,n\}$ and edge set $\mathcal{E}$, let $d_i$ be the degree of node $i$. The degree-based topological index is defined as $\mathcal{I}_n=$ $\sum_{\{i,j\}\in \mathcal{E}}f(d_i,d_j)$, where $f(x,y)$ is a symmetric ...
openaire   +3 more sources

Power-law distribution of degree–degree distance: A better representation of the scale-free property of complex networks

Proceedings of the National Academy of Sciences of the United States of America, 2020
Significance It is hard to decide if a real-world complex network is scale free, as it has never reached an agreement on how to confirm whether the network exhibits statistically favored power-law distributions. Here, we define a fundamental property—the
Bin Zhou, Bin Zhou, Xiangyi Meng, H. Stanley   +3 more
semanticscholar   +1 more source

Sampling properties of random graphs: the degree distribution

, 2005
We discuss two sampling schemes for selecting random subnets from a network: Random sampling and connectivity dependent sampling, and investigate how the degree distribution of a node in the network is affected by the two types of sampling.
B. Bollobás, B. Bollobás, C. von Mering, Carsten Wiuf, D. Sornette, M. Molloy, M. Newman, Michael P. H. Stumpf, P. Erdös, S. Dorogovtsev, W. Aiello, W. Feller   +11 more
core   +1 more source

Degree Distribution of Evolving Network with Node Preference Deletion

Mathematics
Discussing evolutionary network models and corresponding degree distributions under different mechanisms is applied basic research in network science.
Yue Xiao, Xiaojun Zhang
doaj   +1 more source