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The efficient computation of shortest paths in complex networks is essential to face new challenges related to critical infrastructures such as a near real-time monitoring and control and the management of big size systems. In particular,…

Physics and Society · Physics 2019-12-02 Carlo Giudicianni , Armando di Nardo , Gabriele Oliva , Antonio Scala , Manuel Herrera

Controlling a complex network towards a desire state is of great importance in many applications. Existing works present an approximate algorithm to find the driver nodes used to control partial nodes of the network. However, the driver…

Physics and Society · Physics 2017-07-05 Xizhe Zhang , Huaizhen Wang , Tianyang Lv

Consider the following distance query for an $n$-node graph $G$ undergoing edge insertions and deletions: given two sets of nodes $I$ and $J$, return the distances between every pair of nodes in $I\times J$. This query is rather general and…

Data Structures and Algorithms · Computer Science 2019-10-18 Jan van den Brand , Danupon Nanongkai

Low-rank approximation in data streams is a fundamental and significant task in computing science, machine learning and statistics. Multiple streaming algorithms have emerged over years and most of them are inspired by randomized…

Data Structures and Algorithms · Computer Science 2022-09-30 Cuiyu Liu , Chuanfu Xiao , Mingshuo Ding , Chao Yang

Solving linear programs is often a challenging task in distributed settings. While there are good algorithms for solving packing and covering linear programs in a distributed manner (Kuhn et al.~2006), this is essentially the only class of…

Data Structures and Algorithms · Computer Science 2017-09-12 Michael Dinitz , Yasamin Nazari

Multi-layered social networks consist of the fixed set of nodes linked by multiple connections. These connections may be derived from different types of user activities logged in the IT system. To calculate any structural measures for…

Social and Information Networks · Computer Science 2012-10-19 Piotr Bródka , Paweł Stawiak , Przemysław Kazienko

Network optimization has generally been focused on solving network flow problems, but recently there have been investigations into optimizing network characteristics. Optimizing network connectivity to maximize the number of nodes within a…

Physics and Society · Physics 2020-08-03 Jeremy Auerbach , Hyun Kim

Nearest neighbor search is a basic computational tool used extensively in almost research domains of computer science specially when dealing with large amount of data. However, the use of nearest neighbor search is restricted for the…

Social and Information Networks · Computer Science 2015-11-24 Suman Saha , S. P. Ghrera

A modified version of the Dijkstra algorithm using an inventive contraction hierarchy is proposed. The algorithm considers a directed acyclic graph with a conical or semi-circular structure for which a pair of edges is chosen iteratively…

Data Structures and Algorithms · Computer Science 2015-03-20 Ugochi A. Okengwu , Enoch O. Nwachukwu , Emmanuel N. Osegi

Given a network infrastructure (e.g., data-center or on-chip-network) and a distribution on the source-destination requests, the expected path (route) length is an important measure for the performance, efficiency and power consumption of…

Networking and Internet Architecture · Computer Science 2012-07-06 Chen Avin , Michael Borokhovich , Bernhard Haeupler , Zvi Lotker

Finding shortest paths in a given network (e.g., a computer network or a road network) is a well-studied task with many applications. We consider this task under the presence of an adversary, who can manipulate the network by perturbing its…

Social and Information Networks · Computer Science 2021-07-08 Benjamin A. Miller , Zohair Shafi , Wheeler Ruml , Yevgeniy Vorobeychik , Tina Eliassi-Rad , Scott Alfeld

The neighbourhood matrix, $\mathcal{NM}(G)$, a novel representation of graphs proposed in \cite {ALPaper} is defined using the neighbourhood sets of the vertices. The matrix also exhibits a bijection between the product of two well-known…

Data Structures and Algorithms · Computer Science 2020-02-12 Sivakumar Karunakaran , Lavanya Selvaganesh

This paper discusses the shortest path problem in a general directed graph with $n$ nodes and $K$ cost scenarios (objectives). In order to choose a solution, the min-max criterion is applied. The min-max version of the problem is hard to…

Data Structures and Algorithms · Computer Science 2024-09-18 Adam Kasperski , Pawel Zielinski

Designing and optimizing the structure of urban transportation networks is a challenging task. In this study, we propose a method inspired by optimal transport theory and the principle of economy of scale that uses little information in…

Physics and Society · Physics 2024-10-10 Daniela Leite , Caterina De Bacco

The traditional complex network approach considers only the shortest paths from one node to another, not taking into account several other possible paths. This limitation is significant, for example, in urban mobility studies. In this short…

Discrete Mathematics · Computer Science 2022-10-10 Leonardo B. L. Santos , Luiz Max Carvalho , Giovanni G. Soares , Leonardo N. Ferreira , Igor M. Sokolov

We present a novel hierarchical graph clustering algorithm inspired by modularity-based clustering techniques. The algorithm is agglomerative and based on a simple distance between clusters induced by the probability of sampling node pairs.…

Social and Information Networks · Computer Science 2018-06-25 Thomas Bonald , Bertrand Charpentier , Alexis Galland , Alexandre Hollocou

Counting the number of triangles in a graph has many important applications in network analysis. Several frequently computed metrics like the clustering coefficient and the transitivity ratio need to count the number of triangles in the…

Data Structures and Algorithms · Computer Science 2013-04-24 Mostafa Haghir Chehreghani

Networks are ubiquitous in the real world. Link prediction, as one of the key problems for network-structured data, aims to predict whether there exists a link between two nodes. The traditional approaches are based on the explicit…

Machine Learning · Computer Science 2021-06-01 Wei Wu , Bin Li , Chuan Luo , Wolfgang Nejdl

Heterogeneous networks are widely used to model real-world semi-structured data. The key challenge of learning over such networks is the modeling of node similarity under both network structures and contents. To deal with network…

Social and Information Networks · Computer Science 2019-10-04 Carl Yang , Mengxiong Liu , Frank He , Xikun Zhang , Jian Peng , Jiawei Han

Algorithms often carry out equally many computations for "easy" and "hard" problem instances. In particular, algorithms for finding nearest neighbors typically have the same running time regardless of the particular problem instance. In…

Data Structures and Algorithms · Computer Science 2020-03-25 Daniel LeJeune , Richard G. Baraniuk , Reinhard Heckel