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Networks are ubiquitous in biology where they encode connectivity patterns at all scales of organization, from molecular to the biome. However, biological networks are noisy due to the limitations of measurement technology and inherent…

Molecular Networks · Quantitative Biology 2018-08-16 Bo Wang , Armin Pourshafeie , Marinka Zitnik , Junjie Zhu , Carlos D. Bustamante , Serafim Batzoglou , Jure Leskovec

A popular model to measure network stability is the $k$-core, that is the maximal induced subgraph in which every vertex has degree at least $k$. For example, $k$-cores are commonly used to model the unraveling phenomena in social networks.…

Data Structures and Algorithms · Computer Science 2020-07-08 Fedor V. Fomin , Danil Sagunov , Kirill Simonov

Graph mining is an important technique that used in many applications such as predicting and understanding behaviors and information dissemination within networks. One crucial aspect of graph mining is the identification and ranking of…

Social and Information Networks · Computer Science 2024-05-14 Shima Esfandiari , Seyed Mostafa Fakhrahmad

While degree correlations are known to play a crucial role for spreading phenomena in networks, their impact on the propagation speed has hardly been understood. Here we investigate a tunable spreading model on scale-free networks and show…

Physics and Society · Physics 2013-05-30 Markus Schläpfer , Lubos Buzna

Motivated by performance optimization of large-scale graph processing systems that distribute the graph across multiple machines, we consider the balanced graph partitioning problem. Compared to the previous work, we study the…

Data Structures and Algorithms · Computer Science 2019-02-19 Dmitrii Avdiukhin , Sergey Pupyrev , Grigory Yaroslavtsev

Link prediction aims to uncover missing links or predict the emergence of future relationships according to the current networks structure. Plenty of algorithms have been developed for link prediction in unweighted networks, with only a…

Social and Information Networks · Computer Science 2015-09-22 Jing Zhao , Lili Miao , Haiyang Fang , Qian-Ming Zhang , Min Nie , Tao Zhou

Finding the strength of an edge in a network has always been a big demand. In the context of social networks, it allows to estimate the relationship strength between users. The best-known method to compute edge strength is the Neighbourhood…

Social and Information Networks · Computer Science 2020-02-12 Ali Choumane

We present a new kernel-based algorithm for modeling evenly distributed multidimensional datasets that does not rely on input space sparsification. The presented method reorganizes the typical single-layer kernel-based model into a deep…

Machine Learning · Computer Science 2020-05-01 Hossein Mohamadipanah , Mahdi Heydari , Girish Chowdhary

Dismantling criminal networks or containing epidemics or misinformation through node removal is a well-studied problem. To evaluate the effectiveness of such efforts, one must measure the strength of the network before and after node…

Social and Information Networks · Computer Science 2025-07-18 Kartikeya Kansal , Arunabha Sen

In this paper, we develop the idea to partition the edges of a weighted graph in order to uncover overlapping communities of its nodes. Our approach is based on the construction of different types of weighted line graphs, i.e. graphs whose…

Data Analysis, Statistics and Probability · Physics 2010-10-22 T. S. Evans , R. Lambiotte

The recursive removal of leaves (dead end vertices) and their neighbors from an undirected network results, when this pruning algorithm stops, in a so-called core of the network. This specific subgraph should be distinguished from…

Disordered Systems and Neural Networks · Physics 2015-06-12 N. Azimi-Tafreshi , S. N. Dorogovtsev , J. F. F. Mendes

Several important complex network measures that helped discovering common patterns across real-world networks ignore edge weights, an important information in real-world networks. We propose a new methodology for generalizing measures of…

Data Analysis, Statistics and Probability · Physics 2016-01-22 Sherief Abdallah

Networks (or graphs) are used to model the dyadic relations between entities in a complex system. In cases where there exists multiple relations between the entities, the complex system can be represented as a multilayer network, where the…

Social and Information Networks · Computer Science 2019-10-04 Abhishek Santra , Sanjukta Bhowmick , Sharma Chakravarthy

In this paper, we consider the problem of assessing local clustering in complex networks. Various definitions for this measure have been proposed for the cases of networks having weighted edges, but less attention has been paid to both…

Physics and Society · Physics 2017-12-21 Gian Paolo Clemente , Rosanna Grassi

We investigate the effect of a specific edge weighting scheme $\sim (k_i k_j)^{\beta}$ on distributed flow efficiency and robustness to cascading failures in scale-free networks. In particular, we analyze a simple, yet fundamental…

Physics and Society · Physics 2019-12-18 Andrea Asztalos , Sameet Sreenivasan , Boleslaw K. Szymanski , G. Korniss

For most networks, the connection between two nodes is the result of their mutual affinity and attachment. In this paper, we propose a mutual selection model to characterize the weighted networks. By introducing a general mechanism of…

Statistical Mechanics · Physics 2009-11-11 Wen-Xu Wang , Bu Hu , Tao Zhou , Bing-Hong Wang , Yan-Bo Xie

Decycling and dismantling of complex networks are underlying many important applications in network science. Recently these two closely related problems were tackled by several heuristic algorithms, simple and considerably sub-optimal, on…

Physics and Society · Physics 2019-02-18 Lenka Zdeborová , Pan Zhang , Hai-Jun Zhou

Real-data networks often appear to have strong modularity, or network-of-networks structure, in which subgraphs of various size and consistency occur. Finding the respective subgraph structure is of great importance, in particular for…

Physics and Society · Physics 2008-09-29 Mitrovic Marija , Bosiljka Tadic

Quantization of neural networks has become common practice, driven by the need for efficient implementations of deep neural networks on embedded devices. In this paper, we exploit an oft-overlooked degree of freedom in most networks - for a…

Machine Learning · Computer Science 2019-02-07 Eldad Meller , Alexander Finkelstein , Uri Almog , Mark Grobman

In this paper we provide a fully distributed implementation of the k-means clustering algorithm, intended for wireless sensor networks where each agent is endowed with a possibly high-dimensional observation (e.g., position, humidity,…

Machine Learning · Computer Science 2014-11-11 Gabriele Oliva , Roberto Setola , Christoforos N. Hadjicostis