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Semi-random processes involve an adaptive decision-maker, whose goal is to achieve some predetermined objective in an online randomized environment. They have algorithmic implications in various areas of computer science, as well as…

Combinatorics · Mathematics 2020-09-29 Omri Ben-Eliezer , Lior Gishboliner , Dan Hefetz , Michael Krivelevich

Recent progress in network topology modeling [1], [2] has shown that it is possible to create smaller-scale replicas of large complex networks, like the Internet, while simultaneously preserving several important topological properties.…

Networking and Internet Architecture · Computer Science 2015-08-18 Constantinos Psomas , Fragkiskos Papadopoulos

Topological metrics of graphs provide a natural way to describe the prominent features of various types of networks. Graph metrics describe the structure and interplay of graph edges and have found applications in many scientific fields. In…

Data Structures and Algorithms · Computer Science 2018-06-21 Loukianos Spyrou , Javier Escudero

Locally-biased graph algorithms are algorithms that attempt to find local or small-scale structure in a large data graph. In some cases, this can be accomplished by adding some sort of locality constraint and calling a traditional graph…

Social and Information Networks · Computer Science 2016-12-06 Kimon Fountoulakis , David Gleich , Michael Mahoney

Robust and efficient design of networks on a realistic geographical space is one of the important issues for the realization of dependable communication systems. In this paper, based on a percolation theory and a geometric graph property,…

Data Analysis, Statistics and Probability · Physics 2011-11-04 Yukio Hayashi

Graphs are a prevalent tool in data science, as they model the inherent structure of the data. They have been used successfully in unsupervised and semi-supervised learning. Typically they are constructed either by connecting nearest…

Machine Learning · Statistics 2019-05-02 Vassilis Kalofolias , Nathanaël Perraudin

Learning properties of large graphs from samples has been an important problem in statistical network analysis since the early work of Goodman \cite{Goodman1949} and Frank \cite{Frank1978}. We revisit a problem formulated by Frank…

Statistics Theory · Mathematics 2019-06-18 Jason M. Klusowski , Yihong Wu

Constructions of directed configuration graphs based on a given bi-degree distribution were introduced in random graph theory some years ago. These constructions lead to graphs where the degrees of two nodes belonging to the same edge are…

Probability · Mathematics 2017-01-13 Philippe Deprez , Mario V. Wüthrich

One of the biggest huddles faced by researchers studying algorithms for massive graphs is the lack of large input graphs that are essential for the development and test of the graph algorithms. This paper proposes two efficient and highly…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-03-22 Andy Yoo , Keith Henderson

Deep neural networks have usually to be compressed and accelerated for their usage in low-power, e.g. mobile, devices. Recently, massively-parallel hardware accelerators were developed that offer high throughput and low latency at low power…

Machine Learning · Computer Science 2021-08-04 Thomas Pfeil

Routing optimization is a relevant problem in many contexts. Solving directly this type of optimization problem is often computationally unfeasible. Recent studies suggest that one can instead turn this problem into one of solving a…

Physics and Society · Physics 2020-12-11 Diego Baptista , Daniela Leite , Enrico Facca , Mario Putti , Caterina De Bacco

Constructing a spanning tree of a graph is one of the most basic tasks in graph theory. We consider this problem in the setting of local algorithms: one wants to quickly determine whether a given edge $e$ is in a specific spanning tree,…

Data Structures and Algorithms · Computer Science 2021-04-28 Reut Levi , Dana Ron , Ronitt Rubinfeld

Previous work identifying depth-optimal $n$-channel sorting networks for $9\leq n \leq 16$ is based on exploiting symmetries of the first two layers. However, the naive generate-and-test approach typically applied does not scale. This paper…

Data Structures and Algorithms · Computer Science 2016-11-30 Michael Codish , Luis Cruz-Filipe , Peter Schneider-Kamp

Graph neural networks have achieved state-of-the-art accuracy for graph node classification. However, GNNs are difficult to scale to large graphs, for example frequently encountering out-of-memory errors on even moderate size graphs. Recent…

Machine Learning · Computer Science 2022-10-26 Ziyuan Wang , Feiming Yang , Rui Fan

This work introduces NetDiff, an expressive graph denoising diffusion probabilistic architecture that generates wireless ad hoc network link topologies. Such networks, with directional antennas, can achieve unmatched performance when the…

Social and Information Networks · Computer Science 2024-10-14 Félix Marcoccia , Cédric Adjih , Paul Mühlethaler

Graphlets are subgraphs rooted at a fixed vertex. The number of occurrences of graphlets aligned to a particular vertex, called graphlet degree sequence (gds), gives a topological description of the surrounding of the analyzed vertex.…

Combinatorics · Mathematics 2026-01-01 David Hartman , Aneta Pokorná , Daniel Trlifaj , Lluís Vena

As large-scale graphs become increasingly more prevalent, it poses significant computational challenges to process, extract and analyze large graph data. Graph coarsening is one popular technique to reduce the size of a graph while…

Machine Learning · Computer Science 2021-02-03 Chen Cai , Dingkang Wang , Yusu Wang

Real-world networks exhibit prominent hierarchical and modular structures, with various subgraphs as building blocks. Most existing studies simply consider distinct subgraphs as motifs and use only their numbers to characterize the…

Social and Information Networks · Computer Science 2019-12-17 Qi Xuan , Jinhuan Wang , Minghao Zhao , Junkun Yuan , Chenbo Fu , Zhongyuan Ruan , Guanrong Chen

Many real-world networks exhibit correlations between the node degrees. For instance, in social networks nodes tend to connect to nodes of similar degree. Conversely, in biological and technological networks, high-degree nodes tend to be…

Discrete Mathematics · Computer Science 2015-09-30 Kevin E. Bassler , Charo I. Del Genio , Péter L. Erdős , István Miklós , Zoltán Toroczkai

We provide a framework for modeling social network formation through conditional multinomial logit models from discrete choice and random utility theory, in which each new edge is viewed as a "choice" made by a node to connect to another…

Social and Information Networks · Computer Science 2020-05-22 Jan Overgoor , Austin R. Benson , Johan Ugander
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