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We propose a link prediction algorithm that is based on spring-electrical models. The idea to study these models came from the fact that spring-electrical models have been successfully used for networks visualization. A good network…

Social and Information Networks · Computer Science 2019-06-12 Yana Kashinskaya , Egor Samosvat , Akmal Artikov

Analysis of complex networks, particularly material networks such as the carbon skeleton of hydrocarbons generated in hydrocarbon pyrolysis in carbon-rich systems, is essential for effectively describing, modeling, and predicting their…

Combinatorics · Mathematics 2025-11-14 Perrin E. Ruth , Maria K. Cameron

We propose a method of constructing a network, in which its time structure is directly incorporated, based on a deterministic model from a time series. To construct such a network, we transform a linear model containing terms with different…

Other Statistics · Statistics 2015-06-05 Tomomichi Nakamura , Toshihiro Tanizawa

In this paper, we prove a tight minimum degree condition in general graphs for the existence of paths between two given endpoints, whose lengths form a long arithmetic progression with common difference one or two. This allows us to obtain…

Combinatorics · Mathematics 2021-01-27 Jun Gao , Qingyi Huo , Chun-Hung Liu , Jie Ma

An accessibility graph of a network contains a link, wherever there is a path of arbitrary length between two nodes. We generalize the concept of accessibility to temporal networks. Building an accessibility graph by consecutively adding…

Physics and Society · Physics 2012-10-09 Hartmut H K Lentz , Thomas Selhorst , Igor M Sokolov

There has been significant interest in the networking community on the impact of cascade effects on the diffusion of networking technology upgrades in the Internet. Thinking of the global Internet as a graph, where each node represents an…

Social and Information Networks · Computer Science 2015-03-20 Sharon Goldberg , Zhenming Liu

Much recent research has dealt with the identifiability of a dynamical network in which the node signals are connected by causal linear time-invariant transfer functions and are possibly excited by known external excitation signals and/or…

Optimization and Control · Mathematics 2017-09-14 Alexandre S. Bazanella , Michel Gevers , Julien M. Hendrickx , Adriane Parraga

The Wiener index (the distance) of a connected graph is the sum of distances between all pairs of vertices. In this paper, we study the maximum possible value of this invariant among graphs on $n$ vertices with fixed number of blocks $p$.…

Discrete Mathematics · Computer Science 2019-05-08 Stéphane Bessy , François Dross , Katarína Hriňáková , Martin Knor , Riste Škrekovski

Networks are important representations in computer science to communicate structural aspects of a given system of interacting components. The evolution of a network has several topological properties that can provide us information on the…

Social and Information Networks · Computer Science 2020-04-30 Joao Pita Costa , Tihana Galinac Grbac

A simple and accurate relationship is demonstrated that links the average shortest path, nodes, and edges in a complex network. This relationship takes advantage of the concept of link density and shows a large improvement in fitting…

Physics and Society · Physics 2013-04-24 Reginald D. Smith

Link prediction is an elemental challenge in network science, which has already found applications in guiding laboratorial experiments, digging out drug targets, recommending friends in social networks, probing mechanisms in network…

Physics and Society · Physics 2019-06-26 Ratha Pech , Dong Hao , Yan-Li Lee , Ye Yuan , Tao Zhou

Isocontours in road networks represent the area that is reachable from a source within a given resource limit. We study the problem of computing accurate isocontours in realistic, large-scale networks. We propose polygons with minimum…

Data Structures and Algorithms · Computer Science 2016-02-05 Moritz Baum , Thomas Bläsius , Andreas Gemsa , Ignaz Rutter , Franziska Wegner

In a quantum communication network, links represent entanglement between qubits located at different nodes. Even if two nodes are not directly linked by shared entanglement, communication channels can be established between them via quantum…

Quantum Physics · Physics 2025-03-07 Xiangyi Meng , Bingjie Hao , Balázs Ráth , István A. Kovács

We propose that clusters interconnected with network topologies having minimal mean path length will increase their overall performance for a variety of applications. We approach our heuristic by constructing clusters of up to 36 nodes…

Networking and Internet Architecture · Computer Science 2019-04-02 Yuefan Deng , Meng Guo , Alexandre F. Ramos , Xiaolong Huang , Zhipeng Xu , Weifeng Liu

We develop a framework to track the structure of temporal networks with a signal processing approach. The method is based on the duality between networks and signals using a multidimensional scaling technique. This enables a study of the…

Social and Information Networks · Computer Science 2015-05-13 Ronan Hamon , Pierre Borgnat , Patrick Flandrin , Céline Robardet

Cycles in graphs often signify interesting processes. For example, cyclic trading patterns can indicate inefficiencies or economic dependencies in trade networks, cycles in food webs can identify fragile dependencies in ecosystems, and…

Data Structures and Algorithms · Computer Science 2019-09-04 Florian Adriaens , Cigdem Aslay , Tijl De Bie , Aristides Gionis , Jefrey Lijffijt

Link prediction methods use patterns in known network data to infer which connections may be missing. Previous work has shown that continuous-time quantum walks can be used to represent path-based link prediction, which we further study…

Quantum Physics · Physics 2022-12-01 João P. Moutinho , Duarte Magano , Bruno Coutinho

As the scale of data centers continues to grow, there is an increasing demand for interconnection networks to resist malicious attacks. Hence, it is necessary to evaluate the reliability of networks under various fault patterns. The family…

Combinatorics · Mathematics 2025-03-19 Shuqian Cheng , Mingzu Zhang , Sun-Yuan Hsieh , Eddie Cheng

Networks are known to be prone to link failures. In this paper we set out to investigate how networks of varying connectivity patterns respond to different link failure schemes in terms of connectivity, clustering coefficient and shortest…

Physics and Society · Physics 2016-08-14 Serdar Çolak , Hilmi Luş , Ali Rana Atılgan

Crosstalk is defined as the set of unwanted interactions among the different entities of a network. Crosstalk is present in various degrees in every system where information is transmitted through a means that is accessible by all the…

Molecular Networks · Quantitative Biology 2010-12-08 Dionysios Barmpoutis , Richard M. Murray